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## Pata, Vittorino

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 Author ID: pata.vittorino Published as: Pata, V.; Pata, Vittorino External Links: MGP
 Documents Indexed: 156 Publications since 1995, including 1 Book
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#### Co-Authors

 18 single-authored 30 Conti, Monica C. 29 Grasselli, Maurizio 20 Dell’Oro, Filippo 18 Giorgi, Claudio 17 Gatti, Stefania 11 Zelik, Sergey V. 10 Miranville, Alain M. 9 Chepyzhov, Vladimir V. 7 Marchini, Elsa Maria 6 Bercovici, Hari 5 di Plinio, Francesco 5 Squassina, Marco 4 Danese, Valeria 4 Krasnoshchok, Mykola Valeriĭovych 4 Quintanilla de Latorre, Ramón 4 Vasylyeva, Nataliya V. 4 Vishik, Marko Iosifovich 4 Zucchi, Adele 3 Coti Zelati, Michele 3 Mammeri, Youcef 3 Muñoz Rivera, Jaime Edilberto 3 Naso, Maria Grazia 2 Bosia, Stefano 2 Goubet, Olivier 2 Laeng, Enrico 2 Lasiecka, Irena 2 Marzocchi, Alfredo 2 Prouse, Giovanni 2 Temam, Roger Meyer 2 Vuk, Elena 1 Belleri, Veronica 1 Borini, Silvia 1 Chekroun, Mickaël D. 1 Fabrizio, Mauro 1 Gazzola, Filippo 1 Geredeli, Pelin G. 1 Giorgini, Andrea 1 Glatt-Holtz, Nathan E. 1 Grandi, Diego 1 Lindsay, J. Martin 1 Liverani, Lorenzo 1 Mainini, Edoardo 1 Pellicer, Marta 1 Potomkin, Mykhailo 1 Robinson, James Cooper 1 Santina, Claudio 1 Siryk, Sergii V. 1 Vegni, Federico Mario 1 Villani, Alfonso 1 Zheng, Ken Xiaojun
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#### Serials

 12 Discrete and Continuous Dynamical Systems 10 Communications on Pure and Applied Analysis 7 Indiana University Mathematics Journal 6 Journal of Mathematical Analysis and Applications 6 Asymptotic Analysis 5 Mathematical Methods in the Applied Sciences 5 Nonlinearity 5 Journal of Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Journal of Evolution Equations 4 Quarterly of Applied Mathematics 3 Proceedings of the American Mathematical Society 3 Advances in Mathematical Sciences and Applications 3 NoDEA. Nonlinear Differential Equations and Applications 3 Central European Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 American Journal of Mathematics 2 Applied Mathematics and Optimization 2 Mathematische Nachrichten 2 Transactions of the American Mathematical Society 2 Zeitschrift für Analysis und ihre Anwendungen 2 Rendiconti. Scienze Matemàtiche e Applicazioni. A 2 Physica D 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Russian Journal of Mathematical Physics 2 Communications in Applied Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Milan Journal of Mathematics 2 Dynamics of Partial Differential Equations 2 Evolution Equations and Control Theory 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Glasgow Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Le Matematiche 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Journal of Operator Theory 1 Chinese Annals of Mathematics. Series B 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Expositiones Mathematicae 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Mathematical Research Letters 1 Advances in Differential Equations 1 Doklady Mathematics 1 Journal of Mathematical Fluid Mechanics 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis. Real World Applications 1 Unitext 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 AIMS Mathematics
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#### Fields

 114 Partial differential equations (35-XX) 60 Integral equations (45-XX) 43 Mechanics of deformable solids (74-XX) 42 Dynamical systems and ergodic theory (37-XX) 39 Operator theory (47-XX) 16 Classical thermodynamics, heat transfer (80-XX) 12 Ordinary differential equations (34-XX) 11 Probability theory and stochastic processes (60-XX) 10 Functional analysis (46-XX) 7 Fluid mechanics (76-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Numerical analysis (65-XX) 1 Number theory (11-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

142 Publications have been cited 2,137 times in 924 Documents Cited by Year
Stable laws and domains of attraction in free probability theory. Zbl 0945.46046
Bercovici, Hari; Pata, Vittorino
1999
Attractors for a damped hyperbolic equation with linear memory. Zbl 0999.35014
2001
Global attractors for a semilinear hyperbolic equation in viscoelasticity. Zbl 0982.35021
Giorgi, Claudio; Muñoz Rivera, Jaime E.; Pata, Vittorino
2001
Uniform attractors of nonautonomous dynamical systems with memory. Zbl 1039.34074
Grasselli, Maurizio; Pata, Vittorino
2002
Exponential stability in linear viscoelasticity. Zbl 1117.35052
Pata, Vittorino
2006
Smooth attractors for strongly damped wave equations. Zbl 1113.35023
Pata, Vittorino; Zelik, Sergey
2006
On the strongly damped wave equation. Zbl 1068.35077
Pata, Vittorino; Squassina, Marco
2005
Asymptotic behavior of a semilinear problem in heat conduction with memory. Zbl 0912.45009
Giorgi, Claudio; Pata, Vittorino; Marzocchi, Alfredo
1998
A new approach to equations with memory. Zbl 1245.45010
Fabrizio, Mauro; Giorgi, Claudio; Pata, Vittorino
2010
Attractors for semilinear strongly damped wave equations on $$\mathbb{R}^3$$. Zbl 1200.35032
Belleri, Veronica; Pata, Vittorino
2001
Singular limit of differential systems with memory. Zbl 1100.35018
Conti, Monica; Pata, Vittorino; Squassina, Marco
2006
A result on the existence of global attractors for semigroups of closed operators. Zbl 1152.47046
Pata, Vittorino; Zelik, Sergey
2007
Weakly dissipative semilinear equations of viscoelasticity. Zbl 1101.35016
Conti, Monica; Pata, Vittorino
2005
Stability and exponential stability in linear viscoelasticity. Zbl 1205.45010
Pata, Vittorino
2009
A remark on the damped wave equation. Zbl 1140.35533
Pata, Vittorino; Zelik, Sergey
2006
Asymptotic behavior of a parabolic-hyperbolic system. Zbl 1079.35022
Grasselli, Maurizio; Pata, Vittorino
2004
Well-posedness and long time behavior of a parabolic-hyperbolic phase-field system with singular potentials. Zbl 1133.35017
Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino; Zelik, Sergey
2007
Hyperbolic relaxation of the viscous Cahn-Hilliard equation in 3-D. Zbl 1073.35043
Gatti, Stefania; Grasselli, Maurizio; Pata, Vittorino; Miranville, Alain
2005
Some remarks on stability of semigroups arising from linear viscoelasticity. Zbl 1155.47041
Chepyzhov, V. V.; Pata, V.
2006
Uniform attractors for a phase-field model with memory and quadratic nonlinearity. Zbl 0940.35037
Giorgi, Claudio; Grasselli, Maurizio; Pata, Vittorino
1999
On the hyperbolic relaxation of the one-dimensional Cahn–Hilliard equation. Zbl 1160.35518
Gatti, Stefania; Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino
2005
A construction of a robust family of exponential attractors. Zbl 1078.37047
Gatti, Stefania; Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino
2006
Averaging of 2D Navier-Stokes equations with singularly oscillating forces. Zbl 1170.35345
Chepyzhov, V. V.; Pata, V.; Vishik, M. I.
2009
Exponential stability in linear heat conduction with memory: a semigroup approach. Zbl 1084.35547
Giorgi, Claudio; Naso, Maria Grazia; Pata, Vittorino
2001
The Moore-Gibson-Thompson equation with memory in the critical case. Zbl 1347.35034
Dell’Oro, Filippo; Lasiecka, Irena; Pata, Vittorino
2016
On the stability of Timoshenko systems with Gurtin-Pipkin thermal law. Zbl 1288.35074
Dell’Oro, Filippo; Pata, Vittorino
2014
A minimal approach to the theory of global attractors. Zbl 1278.37033
Chepyzhov, Vladimir V.; Conti, Monica; Pata, Vittorino
2012
Global attractors for the extensible thermoelastic beam system. Zbl 1173.35027
Giorgi, C.; Naso, M. G.; Pata, V.; Potomkin, M.
2009
Uniform attractors for a strongly damped wave equation with linear memory. Zbl 0936.35037
Borini, Silvia; Pata, Vittorino
1999
Uniform decay properties of linear Volterra integro-differential equations. Zbl 1152.35318
Conti, Monica; Gatti, Stefania; Pata, Vittorino
2008
On the extensible viscoelastic beam. Zbl 1140.35358
Giorgi, Claudio; Pata, Vittorino; Vuk, Elena
2008
On the energy decay of the linear thermoelastic plate with memory. Zbl 1087.35088
Grasselli, Maurizio; Muñoz Rivera, Jaime E.; Pata, Vittorino
2005
Attractors for semi-linear equations of viscoelasticity with very low dissipation. Zbl 1179.35070
Gatti, S.; Miranville, A.; Pata, V.; Zelik, S.
2008
Attractors and their regularity for 2-D wave equations with nonlinear damping. Zbl 1145.35045
Pata, Vittorino; Zelik, Sergey
2007
Attractors for processes on time-dependent spaces. Applications to wave equations. Zbl 1288.35098
Conti, Monica; Pata, Vittorino; Temam, Roger
2013
A fixed point theorem in metric spaces. Zbl 1264.54065
Pata, Vittorino
2011
Exponential stability in linear viscoelasticity with almost flat memory kernels. Zbl 1191.35054
Pata, Vittorino
2010
Continuous families of exponential attractors for singularly perturbed equations with memory. Zbl 1196.35054
Gatti, Stefania; Miranville, Alain; Pata, Vittorino; Zelik, Sergey
2010
On the strongly damped wave equation with memory. Zbl 1149.35015
di Plinio, Francesco; Pata, Vittorino; Zelik, Sergey
2008
Existence of a universal attractor for a fully hyperbolic phase-field system. Zbl 1063.35038
Grasselli, Maurizio; Pata, Vittorino
2004
On the regularity of global attractors. Zbl 1190.34066
Conti, Monica; Pata, Vittorino
2009
Exponential attractors for singularly perturbed damped wave equations: a simple construction. Zbl 1139.35030
Miranville, Alain; Pata, Vittorino; Zelik, Sergey
2007
On the Moore-Gibson-Thompson equation and its relation to linear viscoelasticity. Zbl 1383.35052
Dell’Oro, Filippo; Pata, Vittorino
2017
Nonclassical diffusion with memory. Zbl 1315.35037
Conti, Monica; Marchini, Elsa M.; Pata, Vittorino
2015
Long-term analysis of strongly damped nonlinear wave equations. Zbl 1230.35019
Dell’Oro, Filippo; Pata, Vittorino
2011
Global and exponential attractors for 3-D wave equations with displacement dependent damping. Zbl 1101.35020
Pata, Vittorino; Zelik, Sergey
2006
Memory relaxation of first order evolution equations. Zbl 1181.35026
Gatti, Stefania; Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino
2005
Asymptotic behavior of a nonlinear hyperbolic heat equation with memory. Zbl 0983.35023
Giorgi, Claudio; Pata, Vittorino
2001
Energy decay of type III linear thermoelastic plates with memory. Zbl 1364.35357
Coti Zelati, Michele; Dell’Oro, Filippo; Pata, Vittorino
2013
Semilinear wave equations of viscoelasticity in the minimal state framework. Zbl 1198.35154
Conti, Monica; Marchini, Elsa M.; Pata, Vittorino
2010
Averaging of nonautonomous damped wave equations with singularly oscillating external forces. Zbl 1234.35146
Chepyzhov, V. V.; Pata, V.; Vishik, M. I.
2008
Longtime behavior of a viscoelastic Timoshenko beam. Zbl 1061.74012
Grasselli, Maurizio; Pata, Vittorino; Prouse, Giovanni
2004
A free analogue of Hincin’s characterization of infinite divisibility. Zbl 0968.46054
Bercovici, Hari; Pata, Vittorino
2000
Traveling waves of dissipative nonautonomous hyperbolic equations in a strip. Zbl 0954.35033
Pata, Vittorino; Prouse, Giovanni; Vishik, Mark I.
1998
Some weak laws of large numbers in noncommutative probability. Zbl 0941.46040
Lindsay, J. Martin; Pata, Vittorino
1997
Pata, Vittorino
1996
Exponential attractors for abstract equations with memory and applications to viscoelasticity. Zbl 1336.35077
Pata, Vittorino; Geredeli, Pelin G.; Danese, Valeria
2015
On the Green-Naghdi type III heat conduction model. Zbl 1302.80004
Giorgi, Claudio; Grandi, Diego; Pata, Vittorino
2014
A well posedness result for nonlinear viscoelastic equations with memory. Zbl 1282.35249
Conti, Monica; Marchini, Elsa M.; Pata, Vittorino
2014
On the decay of solutions in nonsimple elastic solids with memory. Zbl 1267.74020
Pata, Vittorino; Quintanilla, Ramon
2010
A one-dimensional wave equation with nonlinear damping. Zbl 1110.35014
Gatti, Stefania; Pata, Vittorino
2006
Stability of abstract linear thermoelastic systems with memory. Zbl 1036.74014
Giorgi, Claudio; Pata, Vittorino
2001
A weak-$$L^p$$ Prodi-Serrin type regularity criterion for the Navier-Stokes equations. Zbl 1307.35186
Bosia, Stefano; Pata, Vittorino; Robinson, James C.
2014
Asymptotic structure of the attractor for processes on time-dependent spaces. Zbl 1297.35046
Conti, Monica; Pata, Vittorino
2014
Steady states of the hinged extensible beam with external load. Zbl 1220.34035
Zelati, Michele Coti; Giorgi, Claudio; Pata, Vittorino
2010
Stability of abstract linear semigroups arising from heat conduction with memory. Zbl 1141.35336
Chepyzhov, Vladimir V.; Mainini, Edoardo; Pata, Vittorino
2006
A reaction-diffusion equation with memory. Zbl 1114.35030
Grasselli, Maurizio; Pata, Vittorino
2006
Well-posedness and longtime behavior of the phase-field model with memory in a history space setting. Zbl 1029.45007
Giorgi, Claudio; Grasselli, Maurizio; Pata, Vittorino
2001
Strongly damped wave equations with critical nonlinearities. Zbl 1253.35081
Dell’Oro, Filippo; Pata, Vittorino
2012
Asymptotics of the Coleman-Gurtin model. Zbl 1213.35122
Chekroun, Mickaël D.; Di Plinio, Francesco; Glatt-Holtz, Nathan; Pata, Vittorino
2011
Trajectory and global attractors for evolution equations with memory. Zbl 1082.35035
Chepyzhov, V. V.; Gatti, S.; Grasselli, M.; Miranville, A.; Pata, V.
2006
Singular limit of dissipative hyperbolic equations with memory. Zbl 1153.35306
Conti, Monica; Pata, Vittorino; Squassina, Marco
2005
Existence of a universal attractor for a parabolic-hyperbolic phase-field system. Zbl 1057.37068
Grasselli, Maurizio; Pata, Vittorino
2003
Upper semicontinuous attractor for a hyperbolic phase-field model with memory. Zbl 1256.35007
Grasselli, Maurizio; Pata, Vittorino
2001
Uniform attractors for a non-autonomous semilinear heat equation with memory. Zbl 1048.35009
Giorgi, Claudio; Pata, Vittorino; Marzocchi, Alfredo
2000
On a fourth-order equation of Moore-Gibson-Thompson type. Zbl 1383.35054
Dell’Oro, Filippo; Pata, Vittorino
2017
A Gronwall-type Lemma with parameter and dissipative estimates for PDEs. Zbl 1167.34366
Gatti, Stefania; Pata, Vittorino; Zelik, Sergey
2009
Robust exponential attractors for a phase-field system with memory. Zbl 1108.35017
Grasselli, Maurizio; Pata, Vittorino
2005
On the damped semilinear wave equation with critical exponent. Zbl 1058.35044
Grasselli, Maurizio; Pata, Vittorino
2003
Attractors for a damped wave equation on $$\mathbb{R}^3$$ with linear memory. Zbl 0959.35024
Pata, Vittorino
2000
The law of large numbers for free identically distributed random variables. Zbl 0862.46036
Bercovici, Hari; Pata, Vittorino
1996
A model of viscoelasticity with time-dependent memory kernels. Zbl 06924826
Conti, Monica; Danese, Valeria; Giorgi, Claudio; Pata, Vittorino
2018
Global attractors for nonlinear viscoelastic equations with memory. Zbl 1347.35045
Conti, Monica; Marchini, Elsa M.; Pata, Vittorino
2016
Reaction-diffusion with memory in the minimal state framework. Zbl 1297.35045
Conti, Monica; Marchini, Elsa M.; Pata, Vittorino
2014
Timoshenko systems with fading memory. Zbl 1294.47098
Conti, Monica; Dell’Oro, Filippo; Pata, Vittorino
2013
Uniform estimates of Gronwall type. Zbl 1211.34009
Pata, Vittorino
2011
Robust exponential attractors for the strongly damped wave equation with memory. I. Zbl 1183.35051
Di Plinio, F.; Pata, V.
2008
Navier-Stokes limit of Jeffreys type flows. Zbl 1070.35022
Gatti, Stefania; Giorgi, Claudio; Pata, Vittorino
2005
Exponential attractors for a conserved phase-field system with memory. Zbl 1051.37039
Gatti, Stefania; Grasselli, Maurizio; Pata, Vittorino
2004
Longterm dynamics of a conserved phase-field system with memory. Zbl 1135.37335
Grasselli, Maurizio; Pata, Vittorino; Vegni, Federico Mario
2003
Two-dimensional reaction-diffusion equations with memory. Zbl 1221.45010
Conti, Monica; Gatti, Stefania; Grasselli, Maurizio; Pata, Vittorino
2010
Robust exponential attractors for a family of nonconserved phase-field systems with memory. Zbl 1165.35325
Gatti, S.; Grasselli, M.; Pata, V.; Squassina, M.
2005
On the time-dependent Cattaneo law in space dimension one. Zbl 1390.35190
Conti, Monica; Pata, Vittorino
2015
Energy decay of electromagnetic systems with memory. Zbl 1078.35018
Giorgi, Claudio; Naso, Maria Grazia; Pata, Vittorino
2005
Attractor for a conserved phase-field system with hyperbolic heat conduction. Zbl 1072.37055
Grasselli, Maurizio; Pata, Vittorino
2004
Semilinear subdiffusion with memory in the one-dimensional case. Zbl 1374.35422
Krasnoschok, Mykola; Pata, Vittorino; Vasylyeva, Nataliya
2017
Stability properties of an abstract system with applications to linear thermoelastic plates. Zbl 1292.35038
Dell’Oro, Filippo; Rivera, Jaime E. Muñoz; Pata, Vittorino
2013
On the regularity of solutions to the Navier-Stokes equations. Zbl 1278.35182
Pata, Vittorino
2012
Strongly damped wave equations on $$\mathbb R^3$$ with critical nonlinearities. Zbl 1096.35090
Conti, Monica; Pata, Vittorino; Squassina, Marco
2005
Lyapunov functionals for reaction-diffusion equations with memory. Zbl 1079.35047
Gatti, Stefania; Grasselli, Maurizio; Pata, Vittorino
2005
Thermoelasticity of Moore-Gibson-Thompson type with history dependence in the temperature. Zbl 1458.35405
Conti, Monica; Pata, Vittorino; Quintanilla, Ramon
2020
Global attractors for the Benjamin-Bona-Mahony equation with memory. Zbl 1439.35081
Dell’oro, Filippo; Goubet, Olivier; Mammeri, Youcef; Pata, Vittorino
2020
General decay properties of abstract linear viscoelasticity. Zbl 1430.35030
Conti, Monica; Pata, Vittorino
2020
A note on the Moore-Gibson-Thompson equation with memory of type II. Zbl 07339809
Dell’Oro, Filippo; Lasiecka, Irena; Pata, Vittorino
2020
On the analyticity of the MGT-viscoelastic plate with heat conduction. Zbl 1442.35073
Conti, Monica; Pata, Vittorino; Pellicer, Marta; Quintanilla, Ramon
2020
Nonclassical diffusion with memory lacking instantaneous damping. Zbl 1446.35063
Conti, Monica; Dell’Oro, Filippo; Pata, Vittorino
2020
Semilinear subdiffusion with memory in multidimensional domains. Zbl 1419.35214
Krasnoschok, Mykola; Pata, Vittorino; Vasylyeva, Nataliya
2019
Fixed point theorems and applications. Zbl 1448.47001
Pata, Vittorino
2019
A model of viscoelasticity with time-dependent memory kernels. Zbl 06924826
Conti, Monica; Danese, Valeria; Giorgi, Claudio; Pata, Vittorino
2018
Solvability of linear boundary value problems for subdiffusion equations with memory. Zbl 1402.35304
Krasnoschok, Mykola; Pata, Vittorino; Vasylyeva, Nataliya
2018
Navier-Stokes-Voigt equations with memory in 3D lacking instantaneous kinematic viscosity. Zbl 1384.35059
Di Plinio, Francesco; Giorgini, Andrea; Pata, Vittorino; Temam, Roger
2018
Viscoelasticity with time-dependent memory kernels. II: Asymptotic behavior of solutions. Zbl 07018405
Conti, Monica; Danese, Valeria; Pata, Vittorino
2018
On the Moore-Gibson-Thompson equation and its relation to linear viscoelasticity. Zbl 1383.35052
Dell’Oro, Filippo; Pata, Vittorino
2017
On a fourth-order equation of Moore-Gibson-Thompson type. Zbl 1383.35054
Dell’Oro, Filippo; Pata, Vittorino
2017
Semilinear subdiffusion with memory in the one-dimensional case. Zbl 1374.35422
Krasnoschok, Mykola; Pata, Vittorino; Vasylyeva, Nataliya
2017
Averaging of equations of viscoelasticity with singularly oscillating external forces. Zbl 1403.35173
Chepyzhov, Vladimir V.; Conti, Monica; Pata, Vittorino
2017
A quantitative Riemann-Lebesgue lemma with application to equations with memory. Zbl 1362.42011
Dell’Oro, Filippo; Laeng, Enrico; Pata, Vittorino
2017
The Moore-Gibson-Thompson equation with memory in the critical case. Zbl 1347.35034
Dell’Oro, Filippo; Lasiecka, Irena; Pata, Vittorino
2016
Global attractors for nonlinear viscoelastic equations with memory. Zbl 1347.35045
Conti, Monica; Marchini, Elsa M.; Pata, Vittorino
2016
Stability analysis of abstract systems of Timoshenko type. Zbl 1360.35017
Danese, Valeria; Dell’Oro, Filippo; Pata, Vittorino
2016
Nonclassical diffusion with memory. Zbl 1315.35037
Conti, Monica; Marchini, Elsa M.; Pata, Vittorino
2015
Exponential attractors for abstract equations with memory and applications to viscoelasticity. Zbl 1336.35077
Pata, Vittorino; Geredeli, Pelin G.; Danese, Valeria
2015
On the time-dependent Cattaneo law in space dimension one. Zbl 1390.35190
Conti, Monica; Pata, Vittorino
2015
Lack of exponential stability in Timoshenko systems with flat memory kernels. Zbl 1315.35033
Dell’Oro, Filippo; Pata, Vittorino
2015
The Benjamin-Bona-Mahony equation with dissipative memory. Zbl 1327.35035
Dell’Oro, Filippo; Mammeri, Youcef; Pata, Vittorino
2015
Asymptotic behavior of coupled linear systems modeling suspension bridges. Zbl 1329.35059
Dell’Oro, Filippo; Giorgi, Claudio; Pata, Vittorino
2015
On the stability of Timoshenko systems with Gurtin-Pipkin thermal law. Zbl 1288.35074
Dell’Oro, Filippo; Pata, Vittorino
2014
On the Green-Naghdi type III heat conduction model. Zbl 1302.80004
Giorgi, Claudio; Grandi, Diego; Pata, Vittorino
2014
A well posedness result for nonlinear viscoelastic equations with memory. Zbl 1282.35249
Conti, Monica; Marchini, Elsa M.; Pata, Vittorino
2014
A weak-$$L^p$$ Prodi-Serrin type regularity criterion for the Navier-Stokes equations. Zbl 1307.35186
Bosia, Stefano; Pata, Vittorino; Robinson, James C.
2014
Asymptotic structure of the attractor for processes on time-dependent spaces. Zbl 1297.35046
Conti, Monica; Pata, Vittorino
2014
Reaction-diffusion with memory in the minimal state framework. Zbl 1297.35045
Conti, Monica; Marchini, Elsa M.; Pata, Vittorino
2014
Totally dissipative dynamical processes and their uniform global attractors. Zbl 1334.34121
Chepyzhov, Vladimir V.; Conti, Monica; Pata, Vittorino
2014
A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient. Zbl 1293.35196
Bosia, Stefano; Conti, Monica; Pata, Vittorino
2014
Attractors for processes on time-dependent spaces. Applications to wave equations. Zbl 1288.35098
Conti, Monica; Pata, Vittorino; Temam, Roger
2013
Energy decay of type III linear thermoelastic plates with memory. Zbl 1364.35357
Coti Zelati, Michele; Dell’Oro, Filippo; Pata, Vittorino
2013
Timoshenko systems with fading memory. Zbl 1294.47098
Conti, Monica; Dell’Oro, Filippo; Pata, Vittorino
2013
Stability properties of an abstract system with applications to linear thermoelastic plates. Zbl 1292.35038
Dell’Oro, Filippo; Rivera, Jaime E. Muñoz; Pata, Vittorino
2013
Exponential stability for a class of linear hyperbolic equations with hereditary memory. Zbl 1277.35053
Conti, Monica; Marchini, Elsa M.; Pata, Vittorino
2013
A minimal approach to the theory of global attractors. Zbl 1278.37033
Chepyzhov, Vladimir V.; Conti, Monica; Pata, Vittorino
2012
Strongly damped wave equations with critical nonlinearities. Zbl 1253.35081
Dell’Oro, Filippo; Pata, Vittorino
2012
On the regularity of solutions to the Navier-Stokes equations. Zbl 1278.35182
Pata, Vittorino
2012
Memory relaxation of type III thermoelastic extensible beams and Berger plates. Zbl 1262.35051
Dell’Oro, Filippo; Pata, Vittorino
2012
A fixed point theorem in metric spaces. Zbl 1264.54065
Pata, Vittorino
2011
Long-term analysis of strongly damped nonlinear wave equations. Zbl 1230.35019
Dell’Oro, Filippo; Pata, Vittorino
2011
Asymptotics of the Coleman-Gurtin model. Zbl 1213.35122
Chekroun, Mickaël D.; Di Plinio, Francesco; Glatt-Holtz, Nathan; Pata, Vittorino
2011
Uniform estimates of Gronwall type. Zbl 1211.34009
Pata, Vittorino
2011
A new approach to equations with memory. Zbl 1245.45010
Fabrizio, Mauro; Giorgi, Claudio; Pata, Vittorino
2010
Exponential stability in linear viscoelasticity with almost flat memory kernels. Zbl 1191.35054
Pata, Vittorino
2010
Continuous families of exponential attractors for singularly perturbed equations with memory. Zbl 1196.35054
Gatti, Stefania; Miranville, Alain; Pata, Vittorino; Zelik, Sergey
2010
Semilinear wave equations of viscoelasticity in the minimal state framework. Zbl 1198.35154
Conti, Monica; Marchini, Elsa M.; Pata, Vittorino
2010
On the decay of solutions in nonsimple elastic solids with memory. Zbl 1267.74020
Pata, Vittorino; Quintanilla, Ramon
2010
Steady states of the hinged extensible beam with external load. Zbl 1220.34035
Zelati, Michele Coti; Giorgi, Claudio; Pata, Vittorino
2010
Two-dimensional reaction-diffusion equations with memory. Zbl 1221.45010
Conti, Monica; Gatti, Stefania; Grasselli, Maurizio; Pata, Vittorino
2010
Regular global attractors of type III thermoelastic extensible beams. Zbl 1203.35048
Zelati, Michele Coti; Pata, Vittorino; Quintanilla, Ramon
2010
Stability and exponential stability in linear viscoelasticity. Zbl 1205.45010
Pata, Vittorino
2009
Averaging of 2D Navier-Stokes equations with singularly oscillating forces. Zbl 1170.35345
Chepyzhov, V. V.; Pata, V.; Vishik, M. I.
2009
Global attractors for the extensible thermoelastic beam system. Zbl 1173.35027
Giorgi, C.; Naso, M. G.; Pata, V.; Potomkin, M.
2009
On the regularity of global attractors. Zbl 1190.34066
Conti, Monica; Pata, Vittorino
2009
A Gronwall-type Lemma with parameter and dissipative estimates for PDEs. Zbl 1167.34366
Gatti, Stefania; Pata, Vittorino; Zelik, Sergey
2009
Robust exponential attractors for the strongly damped wave equation with memory. II. Zbl 1181.35283
Di Plinio, F.; Pata, V.
2009
Gradient systems of closed operators. Zbl 1191.47078
Pata, Vittorino
2009
Uniform decay properties of linear Volterra integro-differential equations. Zbl 1152.35318
Conti, Monica; Gatti, Stefania; Pata, Vittorino
2008
On the extensible viscoelastic beam. Zbl 1140.35358
Giorgi, Claudio; Pata, Vittorino; Vuk, Elena
2008
Attractors for semi-linear equations of viscoelasticity with very low dissipation. Zbl 1179.35070
Gatti, S.; Miranville, A.; Pata, V.; Zelik, S.
2008
On the strongly damped wave equation with memory. Zbl 1149.35015
di Plinio, Francesco; Pata, Vittorino; Zelik, Sergey
2008
Averaging of nonautonomous damped wave equations with singularly oscillating external forces. Zbl 1234.35146
Chepyzhov, V. V.; Pata, V.; Vishik, M. I.
2008
Robust exponential attractors for the strongly damped wave equation with memory. I. Zbl 1183.35051
Di Plinio, F.; Pata, V.
2008
A result on the existence of global attractors for semigroups of closed operators. Zbl 1152.47046
Pata, Vittorino; Zelik, Sergey
2007
Well-posedness and long time behavior of a parabolic-hyperbolic phase-field system with singular potentials. Zbl 1133.35017
Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino; Zelik, Sergey
2007
Attractors and their regularity for 2-D wave equations with nonlinear damping. Zbl 1145.35045
Pata, Vittorino; Zelik, Sergey
2007
Exponential attractors for singularly perturbed damped wave equations: a simple construction. Zbl 1139.35030
Miranville, Alain; Pata, Vittorino; Zelik, Sergey
2007
Decay rates of Volterra equations on $$\mathbb R^N$$. Zbl 1146.35319
Conti, Monica; Gatti, Stefania; Pata, Vittorino
2007
Exponential stability in linear viscoelasticity. Zbl 1117.35052
Pata, Vittorino
2006
Smooth attractors for strongly damped wave equations. Zbl 1113.35023
Pata, Vittorino; Zelik, Sergey
2006
Singular limit of differential systems with memory. Zbl 1100.35018
Conti, Monica; Pata, Vittorino; Squassina, Marco
2006
A remark on the damped wave equation. Zbl 1140.35533
Pata, Vittorino; Zelik, Sergey
2006
Some remarks on stability of semigroups arising from linear viscoelasticity. Zbl 1155.47041
Chepyzhov, V. V.; Pata, V.
2006
A construction of a robust family of exponential attractors. Zbl 1078.37047
Gatti, Stefania; Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino
2006
Global and exponential attractors for 3-D wave equations with displacement dependent damping. Zbl 1101.35020
Pata, Vittorino; Zelik, Sergey
2006
A one-dimensional wave equation with nonlinear damping. Zbl 1110.35014
Gatti, Stefania; Pata, Vittorino
2006
Stability of abstract linear semigroups arising from heat conduction with memory. Zbl 1141.35336
Chepyzhov, Vladimir V.; Mainini, Edoardo; Pata, Vittorino
2006
A reaction-diffusion equation with memory. Zbl 1114.35030
Grasselli, Maurizio; Pata, Vittorino
2006
Trajectory and global attractors for evolution equations with memory. Zbl 1082.35035
Chepyzhov, V. V.; Gatti, S.; Grasselli, M.; Miranville, A.; Pata, V.
2006
On the strongly damped wave equation. Zbl 1068.35077
Pata, Vittorino; Squassina, Marco
2005
Weakly dissipative semilinear equations of viscoelasticity. Zbl 1101.35016
Conti, Monica; Pata, Vittorino
2005
Hyperbolic relaxation of the viscous Cahn-Hilliard equation in 3-D. Zbl 1073.35043
Gatti, Stefania; Grasselli, Maurizio; Pata, Vittorino; Miranville, Alain
2005
On the hyperbolic relaxation of the one-dimensional Cahn–Hilliard equation. Zbl 1160.35518
Gatti, Stefania; Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino
2005
On the energy decay of the linear thermoelastic plate with memory. Zbl 1087.35088
Grasselli, Maurizio; Muñoz Rivera, Jaime E.; Pata, Vittorino
2005
Memory relaxation of first order evolution equations. Zbl 1181.35026
Gatti, Stefania; Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino
2005
Singular limit of dissipative hyperbolic equations with memory. Zbl 1153.35306
Conti, Monica; Pata, Vittorino; Squassina, Marco
2005
Robust exponential attractors for a phase-field system with memory. Zbl 1108.35017
Grasselli, Maurizio; Pata, Vittorino
2005
Navier-Stokes limit of Jeffreys type flows. Zbl 1070.35022
Gatti, Stefania; Giorgi, Claudio; Pata, Vittorino
2005
Robust exponential attractors for a family of nonconserved phase-field systems with memory. Zbl 1165.35325
Gatti, S.; Grasselli, M.; Pata, V.; Squassina, M.
2005
Energy decay of electromagnetic systems with memory. Zbl 1078.35018
Giorgi, Claudio; Naso, Maria Grazia; Pata, Vittorino
2005
Strongly damped wave equations on $$\mathbb R^3$$ with critical nonlinearities. Zbl 1096.35090
Conti, Monica; Pata, Vittorino; Squassina, Marco
2005
Lyapunov functionals for reaction-diffusion equations with memory. Zbl 1079.35047
Gatti, Stefania; Grasselli, Maurizio; Pata, Vittorino
2005
Asymptotic behavior of a parabolic-hyperbolic system. Zbl 1079.35022
Grasselli, Maurizio; Pata, Vittorino
2004
Existence of a universal attractor for a fully hyperbolic phase-field system. Zbl 1063.35038
Grasselli, Maurizio; Pata, Vittorino
2004
Longtime behavior of a viscoelastic Timoshenko beam. Zbl 1061.74012
Grasselli, Maurizio; Pata, Vittorino; Prouse, Giovanni
2004
...and 42 more Documents
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#### Cited by 846 Authors

 70 Pata, Vittorino 36 Miranville, Alain M. 29 Conti, Monica C. 29 Grasselli, Maurizio 23 Quintanilla de Latorre, Ramón 22 Tatar, Nasser-eddine 20 Yang, Zhijian 19 Giorgi, Claudio 18 Dell’Oro, Filippo 17 Gatti, Stefania 16 Banica, Teodor 16 Jorge da Silva, Marcio Antonio 16 Ma, Qiaozhen 15 Muñoz Rivera, Jaime Edilberto 15 Zelik, Sergey V. 15 Zhong, Chengkui 14 Ma, To Fu 13 Wu, Hao 12 Chepyzhov, Vladimir V. 11 Hasebe, Takahiro 11 Meng, Fengjuan 11 Naso, Maria Grazia 11 Tachim Medjo, Theodore 10 Aouadi, Moncef 10 Gal, Ciprian Gheorghe Sorin 10 Khanmamedov, Azer Kh. 10 Schimperna, Giulio 10 Sun, Chunyou 9 Algharabli, Mohammad M. 9 Feng, Baowei 9 Guesmia, Aissa 9 Marchini, Elsa Maria 9 Qin, Yuming 9 Shomberg, Joseph L. 8 Coti Zelati, Michele 8 Lasiecka, Irena 8 Messaoudi, Salim A. 8 Vuk, Elena 8 Wang, Jiun-Chau 8 Yang, Lu 8 Yang, Meihua 8 Yang, Xinguang 7 Bonfoh, Ahmed S. 7 Caraballo Garrido, Tomás 7 Domingos Cavalcanti, Valéria Neves 7 Kalita, Piotr 7 Kloeden, Peter Eris 7 Liu, Cuncai 7 Liu, Wenjun 7 Liu, Zhiming 7 Rocca, Elisabetta 7 Said-Houari, Belkacem 7 Zheng, Songmu 6 Al-Mahdi, Adel M. 6 Bercovici, Hari 6 Bochicchio, Ivana 6 Cavalcanti, Marcelo Moreira 6 Ding, Pengyan 6 Fabrizio, Mauro 6 Fernández Sare, Hugo D. 6 Hao, Jianghao 6 Kalantarov, Varga K. 6 Kang, Jum-Ran 6 Narciso, Vando 6 Nica, Alexandru 6 Pražák, Dalibor 6 Wang, Xuan 6 Zhang, Fanghong 6 Zhou, Shengfan 5 Alves, Margareth Silva 5 Arizmendi, Octavio 5 Belinschi, Serban Teodor 5 Cholewa, Jan W. 5 Chueshov, Igor’ Dmitrievich 5 Fernández, Jose Ramon 5 Geredeli, Pelin G. 5 Liu, Tingting 5 Monteiro, Rodrigo Nunes 5 Nolasco de Carvalho, Alexandre 5 Racke, Reinhard 5 Szpojankowski, Kamil 5 Yu, Xinwei 4 Almeida Júnior, Dilberto da Silva 4 Anshelevich, Michael 4 Barndorff-Nielsen, Ole Eiler 4 Benaych-Georges, Florent 4 Bezerra, Flank David Morais 4 Bryc, Włodzimierz 4 Caixeta, Arthur Henrique 4 Cavaterra, Cecilia 4 Chechkin, Gregory Aleksandrovich 4 Cherfils, Laurence 4 Chistyakov, Gennadiy P. 4 Cho, Ilwoo 4 Colombo, Fabrizio 4 Copetti, Maria Inês M. 4 Dlotko, Tomasz W. 4 Fatori, Luci Harue 4 Frigeri, Sergio 4 Giorgini, Andrea ...and 746 more Authors
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#### Cited in 207 Serials

 62 Journal of Mathematical Analysis and Applications 51 Journal of Differential Equations 47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 ZAMP. Zeitschrift für angewandte Mathematik und Physik 26 Mathematical Methods in the Applied Sciences 23 Journal of Mathematical Physics 22 Applicable Analysis 22 Communications on Pure and Applied Analysis 21 Applied Mathematics Letters 18 Applied Mathematics and Computation 18 Discrete and Continuous Dynamical Systems 18 Discrete and Continuous Dynamical Systems. Series B 17 Nonlinear Analysis. Real World Applications 16 Applied Mathematics and Optimization 15 Quarterly of Applied Mathematics 14 Journal of Functional Analysis 14 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 13 Journal of Evolution Equations 13 Boundary Value Problems 12 Physica D 10 Computers & Mathematics with Applications 10 The Annals of Probability 10 Journal of Theoretical Probability 9 Transactions of the American Mathematical Society 8 Meccanica 8 Evolution Equations and Control Theory 7 Probability Theory and Related Fields 7 Mathematical Problems in Engineering 7 Abstract and Applied Analysis 6 Statistics & Probability Letters 6 Journal of Integral Equations and Applications 6 Applications of Mathematics 6 Infinite Dimensional Analysis, Quantum Probability and Related Topics 6 Journal of Mathematical Fluid Mechanics 6 Central European Journal of Mathematics 5 Proceedings of the American Mathematical Society 5 Zeitschrift für Analysis und ihre Anwendungen 5 Acta Applicandae Mathematicae 5 SIAM Journal on Mathematical Analysis 5 Journal of Dynamics and Differential Equations 5 Dynamical Systems 5 Milan Journal of Mathematics 5 Advances in Difference Equations 5 Journal of Function Spaces 4 Rocky Mountain Journal of Mathematics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Computational and Applied Mathematics 4 Chinese Annals of Mathematics. Series B 4 Mathematical and Computer Modelling 4 Journal of Nonlinear Science 4 NoDEA. Nonlinear Differential Equations and Applications 4 Mathematics and Mechanics of Solids 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Mediterranean Journal of Mathematics 4 Science China. Mathematics 3 Archive for Rational Mechanics and Analysis 3 International Journal of Engineering Science 3 Journal of Geometry and Physics 3 Advances in Mathematics 3 Demonstratio Mathematica 3 Illinois Journal of Mathematics 3 Numerische Mathematik 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Advances in Applied Mathematics 3 Systems & Control Letters 3 Asymptotic Analysis 3 International Journal of Mathematics 3 European Journal of Applied Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Russian Journal of Mathematical Physics 3 Electronic Journal of Differential Equations (EJDE) 3 Turkish Journal of Mathematics 3 Journal of Inverse and Ill-Posed Problems 3 Journal of Inequalities and Applications 3 Communications in Contemporary Mathematics 3 Differential Equations 3 Journal of Applied Mathematics 3 Fixed Point Theory and Applications 3 Complex Analysis and Operator Theory 3 Journal of Applied Analysis and Computation 3 Advances in Nonlinear Analysis 3 Journal of Elliptic and Parabolic Equations 3 Electronic Research Archive 2 Communications in Mathematical Physics 2 Journal of Statistical Physics 2 Mathematical Notes 2 Nonlinearity 2 Dissertationes Mathematicae 2 Indiana University Mathematics Journal 2 Integral Equations and Operator Theory 2 Mathematische Nachrichten 2 SIAM Journal on Control and Optimization 2 Probability and Mathematical Statistics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Elasticity 2 Topological Methods in Nonlinear Analysis 2 Journal of the Egyptian Mathematical Society ...and 107 more Serials
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#### Cited in 39 Fields

 660 Partial differential equations (35-XX) 233 Mechanics of deformable solids (74-XX) 142 Dynamical systems and ergodic theory (37-XX) 111 Functional analysis (46-XX) 98 Integral equations (45-XX) 95 Probability theory and stochastic processes (60-XX) 80 Operator theory (47-XX) 59 Fluid mechanics (76-XX) 55 Systems theory; control (93-XX) 50 Classical thermodynamics, heat transfer (80-XX) 34 Ordinary differential equations (34-XX) 32 Numerical analysis (65-XX) 22 Statistical mechanics, structure of matter (82-XX) 16 General topology (54-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Statistics (62-XX) 8 Combinatorics (05-XX) 8 Biology and other natural sciences (92-XX) 6 Geophysics (86-XX) 5 Real functions (26-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 4 Nonassociative rings and algebras (17-XX) 4 Functions of a complex variable (30-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Associative rings and algebras (16-XX) 3 Difference and functional equations (39-XX) 3 Optics, electromagnetic theory (78-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Relativity and gravitational theory (83-XX)