Pubblicazioni Scientifiche

 

·                    Henriques, Eurica ; Vespri, Vincenzo; On the double degenerate equation $u_t-\mbox{div} a(x,t,u,\nablau)=b(x,t,u,\nablau)$. Nonlinear Analysis Series A: Theory, Methods & Applications. To appear

 

·                    DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo; Harnack’s inequality for degenerate and singular parabolic equations. Springer Monographs in Mathematics. Springer 2011

 

·                    DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo; Continuity of the saturation in the flow of two immiscible fluids in a porous medium, Indiana Univ. Math. J. 59

 

·                    Ragnedda, Francesco, Vernier-Piro Stella, Vespri Vincenzo; The asymptotic profile of solutions of a class of singular parabolic equations. Progress in Nonlinear Diff.Equs. and Their Appl. , vol 60, (2011) 577-589 2011

 

·                    DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo; A new approach to the expansion of positivity set of non-negative solutions to certain singular parabolic equations. Proc. Amer. Math. Soc ., 138 (2010), pp 3521--3529.

 

·                    DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo; Liouville-type theorems for certain degenerate and singular parabolic equations. Comptes Rendus Math ., 348 (2010), 873-877.

 

·                    DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo; Forward, Backward and Elliptic Harnack Inequalities for Non-Negative Solutions to Certain Singular Parabolic Partial Differential Equations. Annali Scuola Norm. Sup Pisa ., 11 (2010), 385-422.

 

·                    DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo; Harnack type estimates and Hölder continuity for non-negative solutions to certain sub-critically singular parabolic partial differential equations. Manuscripta Math., 131 (2010), 231-245.

 

·                    Ragnedda, Francesco, Vernier-Piro Stella, Vespri Vincenzo; Large time behaviour of solutions to a class of non-autonomous, degenerate parabolic equations. Math. Annalen 348 (2010) 779-795.

 

·                    Santambrogio, Filippo; Vespri Vincenzo; Continuity in two dimensions for a very degenerate elliptic equation.. NonLinear Anal. 73 (2010) 3832-3841.

 

·                    Gianazza, Ugo; Surnachev, Mikhail; Vespri, Vincenzo; On a new proof of Hölder continuity of solutions of p-Laplace type parabolic equations. Adv, Calc. Var 3 (2010), 263-278.

 

·                    DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo; Alternative forms of the Harnack inequality for non-negative solutions to certain degenerate and singular parabolic equations. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei Supplemento, 20 (2009), 323-331.

 

·                    Ragnedda, Francesco, Vernier-Piro Stella, Vespri Vincenzo; Asymptotic time behaviour for non-autonomous degenerate parabolic equations with forcing terms. NonLinear Anal. 71 (2009) 2316-2321.

 

·                    DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo; Sub-Potential Lower Bounds for Non-negative local solutions to certain quasi linear degenerate parabolic equations Duke Math. J. 143 (2008) no.1, 1-15.

 

·                    Fornaro, Simona; Paronetto, Fabio; Vespri, Vincenzo; Disuguaglianze di Harnack per equazioni paraboliche. Lecce. Università del Salento, 1-56, 2008.

 

·                    Giuli, Massimiliano; Vespri, Vincenzo; Speculative dynamics and feedback trading. A nonlinear model. In: Fourth JSIAM-SIMAI Seminar on Industrial and Applied Mathematics, 28, 43-51, 2008.

 

·                    Giuli, Massimiliano, Gozzi, Fausto; Monte, Roberto; Vespri, Vincenzo; Generation of analytic semigroups and domain charactyerization for degenerate elliptic operators with unbounded coefficients arising in financial mathematics. II. Functional analysis and evolution equations, 315-330, Birkäuser, Basel, 2008.

 

·                    DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo; Harnack estimates for quasi linear degenerate parabolic differential equations Acta Math 200 (2008), no. 2, 181-209.

 

·                    DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo; Intrinsic Harnack estimates estimates for quasi linear singular parabolic differential equations Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 18 (2007) no.4, 359-364.

 

·                    DiBenedetto, Emmanuele; Gianazza, Ugo; Safonov, Mikhail; Urbano, José Miguel; Vespri, Vincenzo; Harnack's estimates: positivity and local behavior of degenerate and singular parabolic equations. Bound. Value Probl. (2007), Art. ID 42548, 5 pp.

 

·                    Colombo, Fabrizio; Guidetti, Davide; Vespri, Vincenzo; Some global in time results for integrodifferential parabolic inverse problems. Differential equations: inverse and direct problems, 35--58, Lect. Notes Pure Appl. Math., 251, Chapman & Hall/CRC, Boca Raton, FL, 2006.

 

·                    DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo; Local clustering of the non-zero set of functions in $W^ {1,1}(E)$. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 17 (2006), no. 3, 223--225.

 

·                    DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo; Intrinsic Harnack estimates for nonnegative local solutions of degenerate parabolic equations. Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 95--99 (electronic).

 

·                    Gianazza, Ugo; Vespri, Vincenzo; Parabolic De Giorgi classes of order $p$ and the Harnack inequality. Calc. Var. Partial Differential Equations 26 (2006), no. 3, 379--399.

 

·                    Gianazza, Ugo; Vespri, Vincenzo; A Harnack inequality for a degenerate parabolic equation. J. Evol. Equ. 6 (2006), no. 2, 247--267.

 

·                    Colombo, Fabrizio; Guidetti, Davide; Vespri, Vincenzo; A global in time result for an integro-differential parabolic inverse problem in the space of bounded functions. Dissipative phase transitions, 65--86, Ser. Adv. Math. Appl. Sci., 71, World Sci. Publ., Hackensack, NJ, 2006.

 

·                    Gianazza, Ugo; Vespri, Vincenzo; A Harnack inequality for solutions of doubly nonlinear parabolic equations. J. Appl. Funct. Anal. 1 (2006), no. 3, 271--284.

 

·                    Chiti, Francesco; Fantacci, Romano; Baffoni, Fabrizio; Vespri, Vincenzo; Admission control algorithms based on self-similar traffic modeling for IP networks. Applied and industrial mathematics in Italy, 225--236, Ser. Adv. Math. Appl. Sci., 69, World Sci. Publ., Hackensack, NJ, 2005.

 

·                    Colombo, Fabrizio; Guidetti, Davide; Vespri, Vincenzo; Identification of two memory kernels and the time dependence of the heat source for a parabolic conserved phase-field model. Math. Methods Appl. Sci. 28 (2005), no. 17, 2085--2115.

 

·                    Metafune, Giorgio; Pallara, Diego; Vespri, Vincenzo; $L^ p$-estimates for a class of elliptic operators with unbounded coefficients in ${\bold }R^ N$. Houston J. Math. 31 (2005), no. 2, 605--620 (electronic)

 

·                    DiBenedetto, Emmanuele; Urbano, José Miguel; Vespri, Vincenzo; Current issues on singular and degenerate evolution equations. Evolutionary equations. Vol. I, 169--286, Handb. Differ. Equ., North-Holland, Amsterdam, 2004.

 

·                    Gianazza, Ugo; Stroffolini, Bianca; Vespri, Vincenzo; Interior and boundary continuity of the solution of the singular equation $(\beta(u))_ t={\scr L}u$. Nonlinear Anal. 56 (2004), no. 2, 157--183.

 

·                    Colombo, Fabrizio; Vespri, Vincenzo; A semilinear integrodifferential inverse problem. Evolution equations, 91--104, Lecture Notes in Pure and Appl. Math., 234, Dekker, New York, 2003.

 

·                    Gianazza, Ugo; Vespri, Vincenzo; Continuity of weak solutions of a singular parabolic equation. Adv. Differential Equations 8 (2003), no. 11, 1341--1376.

 

·                    Colombo, Fabrizio; Giuli, Massimiliano; Vespri, Vincenzo; A semigroup approach to no-arbitrage pricing theory: constant elasticity variance model and term structure models. Evolution equations: applications to physics, industry, life sciences and economics (Levico Terme, 2000), 113--126, Progr. Nonlinear Differential Equations Appl., 55, Birkhäuser, Basel, 2003.

 

·                    Gozzi, Fausto; Monte, Roberto; Vespri, Vincenzo; Generation of analytic semigroups and domain characterization for degenerate elliptic operators with unbounded coefficients arising in financial mathematics. I. Differential Integral Equations 15 (2002), no. 9, 1085--1128.

 

·                    Da Prato, Giuseppe; Vespri, Vincenzo; Maximal $L^ p$ regularity for elliptic equations with unbounded coefficients. Nonlinear Anal. 49 (2002), no. 6, Ser. A: Theory Methods, 747--755.

 

·                    Barucci, Emilio.; Polidoro, Sergio.; Vespri, Vincenzo. Some results on partial differential equations and Asian options. Math. Models Methods Appl. Sci. 11 (2001), no. 3, 475--497.

 

·                    Stroffolini, Bianca; Vespri, Vincenzo; On the continuity of the solution of the singular equation $(\beta(u))_ t={\scr L}u$. (Pisa, 2000). Matematiche (Catania) 55 (2000), suppl. 2, 165--195 (2001)

 

·                    Barucci, Emilio; Gozzi, Fausto; Vespri, Vincenzo; On a semigroup approach to no-arbitrage pricing theory. Seminar on Stochastic Analysis, Random Fields and Applications (Ascona, 1996), 1--14, Progr. Probab., 45, Birkhäuser, Basel, 1999

 

·                    Colombo, Fabrizio; Monte, Roberto; Vespri, Vincenzo; On some equations about European option pricing. Systems modelling and optimization (Detroit, MI, 1997), 33--41, Chapman & Hall/CRC Res. Notes Math., 396, Chapman & Hall/CRC, Boca Raton, FL, 1999.

 

·                    Colombo, Fabrizio; Giuli, Massimiliano; Vespri, Vincenzo; Generation of smoothing semigroups by degenerate elliptic operators arising in financial mathematics. Commun. Appl. Anal. 3 (1999), no. 2, 283--302.

 

·                    Gianazza, Ugo; Vespri, Vincenzo; Hölder classes relative to degenerate elliptic operators as interpolation spaces. Matematiche (Catania) 53 (1998), no. 1, 107--121.

 

·                    Gianazza, Ugo; Vespri, Vincenzo; Analysis on the Heisenberg group: a survey. Proceedings of the Third International Conference on Functional Analysis and Approximation Theory, Vol. II (Acquafredda di Maratea, 1996). Rend. Circ. Mat. Palermo (2) Suppl. No. 52, Vol. II (1998), 491--512.

 

·                    Lunardi, Alessandra; Vespri, Vincenzo; Optimal $L^ \infty$ and Schauder estimates for elliptic and parabolic operators with unbounded coefficients. Reaction diffusion systems (Trieste, 1995), 217--239, Lecture Notes in Pure and Appl. Math., 194, Dekker, New York, 1998.

 

·                    Gianazza, Ugo; Vespri, Vincenzo; Generation of analytic semigroups by degenerate elliptic operators. NoDEA Nonlinear Differential Equations Appl. 4 (1997), no. 3, 305--324.

 

·                    Sargenti, Giulia; Vespri, Vincenzo; Partial regularity of weak solutions to certain parabolic equations. Partial differential equation methods in control and shape analysis (Pisa), 285--291, Lecture Notes in Pure and Appl. Math., 188, Dekker, New York, 1997.

 

·                    Lunardi, Alessandra; Vespri, Vincenzo; Generation of strongly continuous semigroups by elliptic operators with unbounded coefficients in $L^ p(R^ n)$. Dedicated to the memory of Pierre Grisvard. Rend. Istit. Mat. Univ. Trieste 28 (1996), suppl., 251--279 (1997).

 

·                    Gianazza, Ugo; Vespri, Vincenzo; Analytic semigroups generated by square Hörmander operators. Dedicated to the memory of Pierre Grisvard. Rend. Istit. Mat. Univ. Trieste 28 (1996), suppl., 201--220 (1997).

 

·                    Sargenti, Giulia; Vespri, Vincenzo; Regularity results for multiphase Stefan-like equations. Modelling and optimization of distributed parameter systems (Warsaw, 1995), 111--117, Chapman & Hall, New York, 1996.

 

·                    Colombo, Fabrizio; Vespri, Vincenzo; Generation of analytic semigroups in $W^ {k,p}(\Omega)$ and $C^ k(\overline\Omega)$. Differential Integral Equations 9 (1996), no. 2, 421--436.

 

·                    DiBenedetto, Emmanuele.; Vespri, Vincenzo; On the singular equation $\beta(u)_ t=\Delta u$. Arch. Rational Mech. Anal. 132 (1995), no. 3, 247--309.

 

·                    DiBenedetto, Emmanuele; Vespri, Vincenzo; Continuity for bounded solutions of multiphase Stefan problem. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 5 (1994), no. 4, 297--302.

 

·                    Savaré, Giuseppe; Vespri, Vincenzo; The asymptotic profile of solutions of a class of doubly nonlinear equations. Nonlinear Anal. 22 (1994), no. 12, 1553--1565.

 

·                    Manfredi, Juan Josè.; Vespri, Vincenzo; Large time behavior of solutions to a class of doubly nonlinear parabolic equations. Electron. J. Differential Equations (1994), No. 02, approx. 17 pp. (electronic only).

 

·                    Manfredi, Juan Josè.; Vespri, Vincenzo; $n$-harmonic morphisms in space are Möbius transformations. Michigan Math. J. 41 (1994), no. 1, 135--142.

 

·                    Vespri, Vincenzo; Harnack type inequalities for solutions of certain doubly nonlinear parabolic equations. J. Math. Anal. Appl. 181 (1994), no. 1, 104--131.

 

·                    Vespri, Vincenzo; Neumann problem in non-smooth domains. Proceedings of the Second International Conference in Functional Analysis and Approximation Theory (Acquafredda di Maratea, 1992). Rend. Circ. Mat. Palermo (2) Suppl. No. 33 (1993), 509--518.

 

·                    Vespri, Vincenzo; $L^ \infty$-estimates for nonlinear parabolic equations with natural growth conditions. Rend. Sem. Mat. Univ. Padova 90 (1993), 1--8.

 

·                    Vespri, Vincenzo; Generation of analytic semigroups by variational operators with $L^ \infty$ coefficients. Differential equations in Banach spaces (Bologna, 1991), 215--224, Lecture Notes in Pure and Appl. Math., 148, Dekker, New York, 1993.

 

·                    Porzio, Maria. Michaela.; Vespri, Vincenzo; Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations. J. Differential Equations 103 (1993), no. 1, 146--178.

 

·                    Vespri, Vincenzo; Local existence, uniqueness and regularity for a class of degenerate parabolic systems arising in biological models. Rend. Sem. Mat. Univ. Padova 87 (1992), 209--244.

 

·                    DiBenedetto, Emmanuele.; Manfredi, Juan Josè.; Vespri, Vincenzo.; A note on boundary regularity for certain degenerate parabolic equations. Nonlinear diffusion equations and their equilibrium states, 3 (Gregynog, 1989), 177--182, Progr. Nonlinear Differential Equations Appl., 7, Birkhäuser Boston, Boston, MA, 1992.

 

·                    Vespri, Vincenzo; On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations. Manuscripta Math. 75 (1992), no. 1, 65--80.

 

·                    Lunardi, Alessandra; Vespri, Vincenzo; Hölder regularity in variational parabolic nonhomogeneous equations. J. Differential Equations 94 (1991), no. 1, 1--40.

 

·                    Vespri, Vincenzo; Analytic semigroups generated by ultraweak operators. Proc. Roy. Soc. Edinburgh Sect. A 119 (1991), no. 1-2, 87--105.

 

·                    Vespri, Vincenzo; Abstract quasilinear parabolic equations with variable domains. Differential Integral Equations 4 (1991), no. 5, 1041--1072.

 

·                    DiBenedetto, Emmanuele.; Kwong, Ying-Chuen.; Vespri, Vincenzo. Local space-analyticity of solutions of certain singular parabolic equations. Indiana Univ. Math. J. 40 (1991), no. 2, 741--765.

 

·                    Vespri, Vincenzo; On the local behaviour of solutions of certain singular parabolic equations. Nonlinear Anal. 16 (1991), no. 10, 827--846.

 

·                    Vespri, Vincenzo; Analytic semigroups, degenerate elliptic operators and applications to nonlinear Cauchy problems. Ann. Mat. Pura Appl. (4) 155 (1989), 353--388.

 

·                    Vespri, Vincenzo; Analytic semigroups generated in $C^ {-1,\alpha}$ by second order variational operators and application to nonlinear Cauchy problem. Differential equations (Xanthi, 1987), 739--747, Lecture Notes in Pure and Appl. Math., 118, Dekker, New York, 1989.

 

·                    Vespri, Vincenzo. Linear stochastic integrodifferential equations. Volterra integrodifferential equations in Banach spaces and applications (Trento, 1987), 387--404, Pitman Res. Notes Math. Ser., 190, Longman Sci. Tech., Harlow, 1989.

 

·                    Vespri, Vincenzo; Analytic semigroups generated in $H^ {-m,p}$ by elliptic variational operators and applications to linear Cauchy problems. Semigroup theory and applications (Trieste, 1987), 419--431, Lecture Notes in Pure and Appl. Math., 116, Dekker, New York, 1989.

 

·                    Vespri, Vincenzo; Analytic semigroups generated on a functional extrapolation space by variational elliptic equations. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 82 (1988), no. 1, 29--33 (1989).

 

·                    Vespri, Vincenzo; The functional space $C^{-1,\alpha}$ and analytic semigroups. Differential Integral Equations 1 (1988), no. 4, 473--493.

 

·                    Cannarsa, Piermarco; Vespri, Vincenzo; Generation of analytic semigroups in the $L^ p$ topology by elliptic operators in $R^ n$. Israel J. Math. 61 (1988), no. 3, 235--255.

 

·                    Cannarsa, Piermarco; Vespri, Vincenzo; Existence and uniqueness results for a nonlinear stochastic partial differential equation. Stochastic partial differential equations and applications (Trento, 1985), 1--24, Lecture Notes in Math., 1236, Springer, Berlin, 1987.

 

·                    Cannarsa, Piermarco; Vespri, Vincenzo; Generation of analytic semigroups by elliptic operators with unbounded coefficients. SIAM J. Math. Anal. 18 (1987), no. 3, 857--872.

 

·                    Vespri, Vincenzo; Regolarità massimale in $L^ p$ per il problema di Cauchy astratto e regolarita’ $L^ p (L^ q) $ per operatori parabolici. Equazioni Differenziali e Calcolo delle Variazioni (Pisa, 1985), 205--213, ETS Editrice Pisa, 1986.

 

·                    Cannarsa, Piermarco; Vespri, Vincenzo; On maximal $L^ p$ regularity for the abstract Cauchy problem. Boll. Un. Mat. Ital. B (6) 5 (1986), no. 1, 165-175.

 

·                    Cannarsa, Piermarco; Terreni, Brunello; Vespri, Vincenzo; Analytic semigroups generated by nonvariational elliptic systems of second order under Dirichlet boundary conditions. J. Math. Anal. Appl. 112 (1985), no. 1, 56-103.

 

·                    Cannarsa, Piermarco; Vespri, Vincenzo; Analytic semigroups generated on Hölder spaces by second order elliptic systems under Dirichlet boundary conditions. Ann. Mat. Pura Appl. (4) 140 (1985), 393-415.

 

·                    Cannarsa, Piermarco; Vespri, Vincenzo; Existence and uniqueness of solutions to a class of stochastic partial differential equations. Stochastic Anal. Appl. 3 (1985), no. 3, 315--339.