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## Acquistapace, Paolo

Compute Distance To:
 Author ID: acquistapace.paolo Published as: Acquistapace, P.; Acquistapace, Paolo External Links: MGP · Wikidata
 Documents Indexed: 37 Publications since 1976
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#### Co-Authors

 9 single-authored 20 Terreni, Brunello 3 Bucci, Francesca 3 Lasiecka, Irena 2 Broglia, Fabrizio 1 Bartaloni, Francesco 1 Briani, Ariela 1 Flandoli, Franco 1 Gozzi, Francisco J.
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#### Serials

 3 Applied Mathematics and Optimization 2 Journal of Mathematical Analysis and Applications 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 SIAM Journal on Control and Optimization 2 Differential and Integral Equations 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Israel Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Rendiconti del Seminario Matematico della Università di Padova 1 Journal of Integral Equations 1 Stochastic Analysis and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Advances in Differential Equations 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Archimede
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#### Fields

 16 Partial differential equations (35-XX) 15 Ordinary differential equations (34-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Operator theory (47-XX) 5 Functional analysis (46-XX) 4 Systems theory; control (93-XX) 3 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

30 Publications have been cited 444 times in 301 Documents Cited by Year
A unified approach to abstract linear nonautonomous parabolic equations. Zbl 0646.34006
Acquistapace, Paolo; Terreni, Brunello
1987
Evolution operators and strong solutions of abstract linear parabolic equations. Zbl 0723.34046
Acquistapace, Paolo
1988
On $$BMO$$ regularity for linear elliptic systems. Zbl 0802.35015
Acquistapace, Paolo
1992
Some existence and regularity results for abstract non-autonomous parabolic equations. Zbl 0555.34051
Acquistapace, Paolo; Terreni, Brunello
1984
An approach to Ito linear equations in Hilbert spaces by approximation of white noise with coloured noise. Zbl 0547.60066
Acquistapace, Paolo; Broglia, Fabrizio
1984
Initial boundary value problems and optimal control for nonautonomous parabolic systems. Zbl 0753.49003
Acquistapace, P.; Flandoli, F.; Terreni, B.
1991
On the abstract nonautonomous parabolic Cauchy problem in the case of constant domains. Zbl 0579.34001
Acquistapace, Paolo; Terreni, Brunello
1985
Hölder classes with boundary conditions as interpolation spaces. Zbl 0635.35024
Acquistapace, Paolo; Terreni, Brunello
1987
Optimal boundary control and Riccati theory for abstract dynamics motivated by hybrid systems of PDEs. Zbl 1135.49022
Acquistapace, Paolo; Bucci, Francesca; Lasiecka, Irena
2005
Maximal space regularity for abstract linear non-autonomous parabolic equations. Zbl 0563.47028
Acquistapace, Paolo; Terreni, Brunello
1985
Existence and sharp regularity results for linear parabolic non- autonomous integro-differential equations. Zbl 0603.45019
Acquistapace, Paolo; Terreni, Brunello
1986
Classical solutions of nonautonomous Riccati equations arising in parabolic boundary control problems. Zbl 0926.49019
Acquistapace, P.; Terreni, B.
1999
Linear parabolic equations in Banach spaces with variable domains but constant interpolation spaces. Zbl 0612.34057
Acquistapace, Paolo; Terreni, Brunello
1986
Infinite-horizon linear-quadratic regulator problems for nonautonomous parabolic systems with boundary control. Zbl 0841.49017
Acquistapace, Paolo; Terreni, Brunello
1996
Classical solutions of nonautonomous Riccati equations arising in parabolic boundary control problems. II. Zbl 0952.49029
Acquistapace, P.; Terreni, B.
2000
Fully nonlinear parabolic systems. Zbl 0703.35093
Acquistapace, P.; Terreni, B.
1989
On quasilinear parabolic systems. Zbl 0629.34018
Acquistapace, Paolo; Terreni, Brunello
1988
Existence and maximal time regularity for linear parabolic integrodifferential equation. Zbl 0584.45012
Acquistapace, Paolo
1985
Abstract linear nonautonomous parabolic equations: A survey. Zbl 0833.35060
Acquistapace, Paolo
1993
Regularity properties of the evolution operator for abstract linear parabolic equations. Zbl 0755.34055
Acquistapace, Paolo; Terreni, Brunello
1992
Quasilinear parabolic integrodifferential systems with fully nonlinear boundary conditions. Zbl 0681.45009
Acquistapace, P.; Terreni, B.
1989
Optimal control with state constraint and non-concave dynamics: a model arising in economic growth. Zbl 1378.49002
Acquistapace, Paolo; Bartaloni, Francesco
2017
A theory of the infinite horizon LQ-problem for composite systems of PDEs with boundary control. Zbl 1282.35257
Acquistapace, Paolo; Bucci, Francesca; Lasiecka, Irena
2013
A trace regularity result for thermoelastic equations with application to optimal boundary control. Zbl 1078.35017
Acquistapace, P.; Bucci, F.; Lasiecka, I.
2005
$$\Gamma$$-convergence for infinite dimensional optimal control problems. Zbl 1040.49015
Acquistapace, Paolo; Briani, Ariela
2002
Zygmund classes with boundary conditions as interpolation spaces. Zbl 0686.46021
Acquistapace, Paolo
1989
On fundamental solutions for abstract parabolic equations. Zbl 0617.34062
Acquistapace, Paolo; Terreni, Brunello
1986
On the abstract Cauchy problem in the case of constant domains. Zbl 0589.34047
Acquistapace, Paolo; Terreni, Brunello
1984
Une méthode unifiée pour l’étude des équations linéaires nonautonomes, paraboliques dans les espaces de Banach. (A unified method for studying non autonomous linear parabolic equations in Banach spaces). Zbl 0581.34047
Acquistapace, Paolo; Terreni, Brunello
1985
Some calculations on billiards. Zbl 0547.51016
Acquistapace, Paolo; Broglia, Fabrizio
1984
Optimal control with state constraint and non-concave dynamics: a model arising in economic growth. Zbl 1378.49002
Acquistapace, Paolo; Bartaloni, Francesco
2017
A theory of the infinite horizon LQ-problem for composite systems of PDEs with boundary control. Zbl 1282.35257
Acquistapace, Paolo; Bucci, Francesca; Lasiecka, Irena
2013
Optimal boundary control and Riccati theory for abstract dynamics motivated by hybrid systems of PDEs. Zbl 1135.49022
Acquistapace, Paolo; Bucci, Francesca; Lasiecka, Irena
2005
A trace regularity result for thermoelastic equations with application to optimal boundary control. Zbl 1078.35017
Acquistapace, P.; Bucci, F.; Lasiecka, I.
2005
$$\Gamma$$-convergence for infinite dimensional optimal control problems. Zbl 1040.49015
Acquistapace, Paolo; Briani, Ariela
2002
Classical solutions of nonautonomous Riccati equations arising in parabolic boundary control problems. II. Zbl 0952.49029
Acquistapace, P.; Terreni, B.
2000
Classical solutions of nonautonomous Riccati equations arising in parabolic boundary control problems. Zbl 0926.49019
Acquistapace, P.; Terreni, B.
1999
Infinite-horizon linear-quadratic regulator problems for nonautonomous parabolic systems with boundary control. Zbl 0841.49017
Acquistapace, Paolo; Terreni, Brunello
1996
Abstract linear nonautonomous parabolic equations: A survey. Zbl 0833.35060
Acquistapace, Paolo
1993
On $$BMO$$ regularity for linear elliptic systems. Zbl 0802.35015
Acquistapace, Paolo
1992
Regularity properties of the evolution operator for abstract linear parabolic equations. Zbl 0755.34055
Acquistapace, Paolo; Terreni, Brunello
1992
Initial boundary value problems and optimal control for nonautonomous parabolic systems. Zbl 0753.49003
Acquistapace, P.; Flandoli, F.; Terreni, B.
1991
Fully nonlinear parabolic systems. Zbl 0703.35093
Acquistapace, P.; Terreni, B.
1989
Quasilinear parabolic integrodifferential systems with fully nonlinear boundary conditions. Zbl 0681.45009
Acquistapace, P.; Terreni, B.
1989
Zygmund classes with boundary conditions as interpolation spaces. Zbl 0686.46021
Acquistapace, Paolo
1989
Evolution operators and strong solutions of abstract linear parabolic equations. Zbl 0723.34046
Acquistapace, Paolo
1988
On quasilinear parabolic systems. Zbl 0629.34018
Acquistapace, Paolo; Terreni, Brunello
1988
A unified approach to abstract linear nonautonomous parabolic equations. Zbl 0646.34006
Acquistapace, Paolo; Terreni, Brunello
1987
Hölder classes with boundary conditions as interpolation spaces. Zbl 0635.35024
Acquistapace, Paolo; Terreni, Brunello
1987
Existence and sharp regularity results for linear parabolic non- autonomous integro-differential equations. Zbl 0603.45019
Acquistapace, Paolo; Terreni, Brunello
1986
Linear parabolic equations in Banach spaces with variable domains but constant interpolation spaces. Zbl 0612.34057
Acquistapace, Paolo; Terreni, Brunello
1986
On fundamental solutions for abstract parabolic equations. Zbl 0617.34062
Acquistapace, Paolo; Terreni, Brunello
1986
On the abstract nonautonomous parabolic Cauchy problem in the case of constant domains. Zbl 0579.34001
Acquistapace, Paolo; Terreni, Brunello
1985
Maximal space regularity for abstract linear non-autonomous parabolic equations. Zbl 0563.47028
Acquistapace, Paolo; Terreni, Brunello
1985
Existence and maximal time regularity for linear parabolic integrodifferential equation. Zbl 0584.45012
Acquistapace, Paolo
1985
Une méthode unifiée pour l’étude des équations linéaires nonautonomes, paraboliques dans les espaces de Banach. (A unified method for studying non autonomous linear parabolic equations in Banach spaces). Zbl 0581.34047
Acquistapace, Paolo; Terreni, Brunello
1985
Some existence and regularity results for abstract non-autonomous parabolic equations. Zbl 0555.34051
Acquistapace, Paolo; Terreni, Brunello
1984
An approach to Ito linear equations in Hilbert spaces by approximation of white noise with coloured noise. Zbl 0547.60066
Acquistapace, Paolo; Broglia, Fabrizio
1984
On the abstract Cauchy problem in the case of constant domains. Zbl 0589.34047
Acquistapace, Paolo; Terreni, Brunello
1984
Some calculations on billiards. Zbl 0547.51016
Acquistapace, Paolo; Broglia, Fabrizio
1984
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#### Cited by 361 Authors

 13 Lunardi, Alessandra 11 Diagana, Toka 9 Byun, Sun-Sig 8 Acquistapace, Paolo 8 Liang, Jin 8 Terreni, Brunello 8 Xiao, Ti-Jun 7 Lasiecka, Irena 7 Lorenzi, Luca 6 Softova, Lubomira G. 6 Sun, Yongzhong 5 Brzeźniak, Zdzisław 5 Chill, Ralph 5 Ezzinbi, Khalil 5 Favini, Angelo 5 Gu, Anhui 5 Guidetti, Davide 5 Liu, Xianming 5 N’Guérékata, Gaston Mandata 5 Schnaubelt, Roland 5 Tuffaha, Amjad M. 5 Veraar, Mark C. 5 Wang, Bixiang 5 Wang, Lihe 5 Wang, Rongnian 5 Xia, Zhinan 4 Amann, Herbert 4 Angiuli, Luciana 4 Bucci, Francesca 4 Flandoli, Franco 4 Guliyev, Vagif Sabir 4 Hu, Zhanrong 4 Jin, Zhen 4 Maniar, Lahcen 4 Twardowska, Krystyna 4 Yan, Zuomao 3 Abbas, Syed 3 Boutaous, Fatiha 3 Chang, Yong-Kui 3 Chen, Pengyu 3 Da Prato, Giuseppe 3 Ding, Huisheng 3 Fan, Jishan 3 Gozzi, Fausto 3 Kostić, Marko 3 Laasri, Hafida 3 Labbas, Rabah 3 Li, Yongxiang 3 Lin, Yan 3 Liu, Jinghuai 3 Lu, Fangxia 3 Medeghri, Ahmed 3 Palagachev, Dian K. 3 Ragusa, Maria Alessandra 3 Song, Xiaoqiu 3 Su, Weiyi 3 Yagi, Atsushi 3 Zhang, Xuping 3 Zhang, Zhifei 3 Zhou, Yong 2 Akdad, Abdelkarim-Nidal 2 Albeverio, Sergio A. 2 Baroun, Mahmoud 2 Bociu, Lorena 2 Boulite, Said 2 Buttu, Anna 2 Cannarsa, Piermarco 2 Capiński, Marek 2 Castle, Lucas 2 Chaouchi, Belkacem 2 Chen, Yingshan 2 Duan, Jinqiao 2 Faggian, Silvia 2 González, Cesáreo 2 Kpoumiè, Moussa El-Khalil 2 Lee, Mikyoung 2 Leonardi, Salvatore 2 Li, Fucai 2 Li, Xiliang 2 Lu, Kening 2 Monniaux, Sylvie 2 Nagel, Rainer J. 2 Nakamura, Gen 2 Neamţu, Alexandra 2 Nickel, Gregor 2 Omarova, Mehriban N. 2 Palencia, Cesar 2 Pronk, Matthijs 2 Prüß, Jan Wilhelm 2 Sinestrari, Eugenio 2 Stará, Jana 2 Tachikawa, Atsushi 2 Taira, Kazuaki 2 Vespri, Vincenzo Riccardo 2 Wang, Chao 2 Zhao, Zhihan 2 Zhou, Shulin 2 Zhu, Pengxian 2 Zitane, Mohamed 1 Abdollahi, Javad ...and 261 more Authors
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#### Cited in 125 Serials

 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Journal of Mathematical Analysis and Applications 17 Journal of Differential Equations 8 Journal of Functional Analysis 8 Discrete and Continuous Dynamical Systems. Series B 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Transactions of the American Mathematical Society 7 Acta Mathematica Sinica. English Series 6 Abstract and Applied Analysis 6 Journal of Evolution Equations 5 Mathematische Annalen 5 Rendiconti del Seminario Matematico della Università di Padova 5 Potential Analysis 5 Mediterranean Journal of Mathematics 5 Nonlinear Analysis. Theory, Methods & Applications 4 Applied Mathematics and Optimization 4 Semigroup Forum 4 Stochastic Analysis and Applications 4 Acta Applicandae Mathematicae 4 NoDEA. Nonlinear Differential Equations and Applications 4 Discrete and Continuous Dynamical Systems 3 Archive for Rational Mechanics and Analysis 3 Israel Journal of Mathematics 3 Mathematical Methods in the Applied Sciences 3 Mathematics of Computation 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Applied Mathematics and Computation 3 Mathematische Zeitschrift 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Zeitschrift für Analysis und ihre Anwendungen 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Stochastics and Dynamics 3 Afrika Matematika 2 Computers & Mathematics with Applications 2 International Journal of Control 2 Rocky Mountain Journal of Mathematics 2 Stochastics 2 Journal of Mathematical Economics 2 Journal of Optimization Theory and Applications 2 Systems & Control Letters 2 Optimization 2 Mathematical and Computer Modelling 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Differential Equations (EJDE) 2 Differential Equations and Dynamical Systems 2 Journal of Dynamical and Control Systems 2 Nonlinear Analysis. Real World Applications 2 Advances in Difference Equations 2 Journal of Fixed Point Theory and Applications 2 Nonautonomous Dynamical Systems 1 Applicable Analysis 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Nonlinearity 1 Studia Mathematica 1 Acta Mathematica 1 Archiv der Mathematik 1 Automatica 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Physica D 1 MCSS. Mathematics of Control, Signals, and Systems 1 Forum Mathematicum 1 Journal of Integral Equations and Applications 1 International Journal of Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Journal of Dynamics and Differential Equations 1 New Zealand Journal of Mathematics 1 Turkish Journal of Mathematics 1 Georgian Mathematical Journal 1 Journal of Convex Analysis 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 Mathematical Population Studies 1 Nonlinear Dynamics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Revista Matemática Complutense 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Fluid Mechanics 1 Journal of Interdisciplinary Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation ...and 25 more Serials
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#### Cited in 30 Fields

 186 Partial differential equations (35-XX) 88 Ordinary differential equations (34-XX) 86 Operator theory (47-XX) 45 Probability theory and stochastic processes (60-XX) 25 Dynamical systems and ergodic theory (37-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 18 Abstract harmonic analysis (43-XX) 17 Functional analysis (46-XX) 17 Fluid mechanics (76-XX) 14 Integral equations (45-XX) 13 Systems theory; control (93-XX) 8 Numerical analysis (65-XX) 8 Mechanics of deformable solids (74-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Biology and other natural sciences (92-XX) 3 Differential geometry (53-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX)

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