Edit Profile (opens in new tab) Dickstein, Flávio Compute Distance To: Compute Author ID: dickstein.flavio Published as: Dickstein, Flávio; Dickstein, Flavio; Dickstein, F. more...less Documents Indexed: 39 Publications since 1996 Co-Authors: 19 Co-Authors with 35 Joint Publications 372 Co-Co-Authors all top 5 Co-Authors 4 single-authored 27 Cazenave, Thierry 23 Weissler, Fred B. 3 Escobedo Martínez, Miguel 3 Naumkin, Ivan P. 2 Loayza, Miguel 1 Carvalho, Luiz Mariano 1 Cipolatti, Rolci A. 1 Correia, Simão 1 dos Santos, R. Weber 1 Goldfeld, Paulo 1 Kavian, Otared 1 Mizoguchi, Noriko 1 Pacella, Filomena 1 Pfeiffer, Gustavo T. 1 Pinto, Renan Vicente 1 Puel, Jean-Pierre 1 Rodrigues, José Roberto P. 1 Sciunzi, Berardino 1 Souplet, Philippe all top 5 Serials 4 Journal of Mathematical Analysis and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Matemática Contemporânea 2 Journal of Differential Equations 1 IMA Journal of Numerical Analysis 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 American Journal of Mathematics 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Publicacions Matemàtiques 1 Differential and Integral Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Nonlinear World 1 Journal of Mathematical Sciences. University of Tokyo 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Computational Geosciences 1 Journal of Evolution Equations 1 TEMA. Tendências em Matemática Aplicada e Computacional 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Dynamics of Partial Differential Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 São Paulo Journal of Mathematical Sciences all top 5 Fields 36 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 3 Geophysics (86-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 326 times in 228 Documents Cited by ▼ Year ▼ An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 49 2008 Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 29 2013 A maximum principle for semilinear parabolic systems and applications. Zbl 0986.35044Dickstein, Flávio; Escobedo, Miguel 27 2001 Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred 15 2011 Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball. Zbl 1168.35022Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 15 2009 A semilinear heat equation with concave-convex nonlinearity. Zbl 0949.35071Cazenave, T.; Dickstein, F.; Escobedo, M. 14 1999 Blowup stability of solutions of the nonlinear heat equation with a large life span. Zbl 1100.35044Dickstein, Flávio 13 2006 Multi-scale multi-profile global solutions of parabolic equations in \(\mathbb{R}^N \). Zbl 1250.35030Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2012 Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B. 12 2001 Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B. 12 2003 Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 11 2003 Chaotic behavior of solutions of the Navier-Stokes system in \(\mathbb R^N \). Zbl 1208.35101Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B. 10 2005 Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 10 2014 A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation. Zbl 1369.35083Cazenave, Thierry; Correia, Simão; Dickstein, Flávio; Weissler, Fred B. 10 2015 Life span of solutions of a weakly coupled parabolic system. Zbl 1145.35065Dickstein, Flávio; Loayza, Miguel 10 2008 Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 10 2009 Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 7 2007 Sign-changing stationary solutions and blowup for a nonlinear heat equation in dimension two. Zbl 1302.35215Dickstein, Flávio; Pacella, Filomena; Sciunzi, Berardino 7 2014 A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 7 2005 Life span of solutions of a strongly coupled parabolic system. Zbl 1157.35397Dickstein, Flávio; Loayza, Miguel 6 2007 A solution of the constant coefficient heat equation on \(\mathbb R\) with exceptional asymptotic behavior: an explicit construction. Zbl 1096.35016Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2006 Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations. Zbl 1377.35046Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2017 On the structure of global solutions of the nonlinear heat equation in a ball. Zbl 1183.35171Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2009 Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2011 Perturbations of self-similar solutions. Zbl 1409.35120Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 4 2019 Multiscale asymptotic behavior of a solution of the heat equation on \(\mathbb R^N\). Zbl 1107.35053Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 3 2006 Existence of standing waves for the complex Ginzburg-Landau equation. Zbl 1303.35105Cipolatti, Rolci; Dickstein, Flávio; Puel, Jean-Pierre 3 2015 On the influence of boundary conditions on flows in porous media. Zbl 0987.76092Cazenave, Thierry; Dickstein, Flávio 3 2001 Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 3 2010 Sharp conditions for blowup of solutions of a chemotactical model for two species in \(\mathbb R^2\). Zbl 1256.35178Dickstein, Flávio 2 2013 On semilinear parabolic problems with non-Lipschitz nonlinearities. Zbl 0979.35079Dickstein, Flávio 2 2000 Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value. Zbl 1458.35103Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 1 2020 On the initial value problem for a linear model of well-reservoir coupling. Zbl 0893.35103Cazenave, Thierry; Dickstein, Flavio 1 1996 Positive solutions of an elliptic system depending on two parameters. Zbl 1212.35032Dickstein, Flavio 1 2005 Truncated conjugate gradient and improved LBFGS and TSVD for history matching. Zbl 1405.86021Dickstein, Flávio; Goldfeld, Paulo; Pfeiffer, Gustavo T.; Pinto, Renan V. 1 2018 Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value. Zbl 1458.35103Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 1 2020 Perturbations of self-similar solutions. Zbl 1409.35120Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 4 2019 Truncated conjugate gradient and improved LBFGS and TSVD for history matching. Zbl 1405.86021Dickstein, Flávio; Goldfeld, Paulo; Pfeiffer, Gustavo T.; Pinto, Renan V. 1 2018 Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations. Zbl 1377.35046Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2017 A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation. Zbl 1369.35083Cazenave, Thierry; Correia, Simão; Dickstein, Flávio; Weissler, Fred B. 10 2015 Existence of standing waves for the complex Ginzburg-Landau equation. Zbl 1303.35105Cipolatti, Rolci; Dickstein, Flávio; Puel, Jean-Pierre 3 2015 Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 10 2014 Sign-changing stationary solutions and blowup for a nonlinear heat equation in dimension two. Zbl 1302.35215Dickstein, Flávio; Pacella, Filomena; Sciunzi, Berardino 7 2014 Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 29 2013 Sharp conditions for blowup of solutions of a chemotactical model for two species in \(\mathbb R^2\). Zbl 1256.35178Dickstein, Flávio 2 2013 Multi-scale multi-profile global solutions of parabolic equations in \(\mathbb{R}^N \). Zbl 1250.35030Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2012 Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred 15 2011 Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2011 Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 3 2010 Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball. Zbl 1168.35022Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 15 2009 Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 10 2009 On the structure of global solutions of the nonlinear heat equation in a ball. Zbl 1183.35171Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2009 An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 49 2008 Life span of solutions of a weakly coupled parabolic system. Zbl 1145.35065Dickstein, Flávio; Loayza, Miguel 10 2008 Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 7 2007 Life span of solutions of a strongly coupled parabolic system. Zbl 1157.35397Dickstein, Flávio; Loayza, Miguel 6 2007 Blowup stability of solutions of the nonlinear heat equation with a large life span. Zbl 1100.35044Dickstein, Flávio 13 2006 A solution of the constant coefficient heat equation on \(\mathbb R\) with exceptional asymptotic behavior: an explicit construction. Zbl 1096.35016Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2006 Multiscale asymptotic behavior of a solution of the heat equation on \(\mathbb R^N\). Zbl 1107.35053Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 3 2006 Chaotic behavior of solutions of the Navier-Stokes system in \(\mathbb R^N \). Zbl 1208.35101Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B. 10 2005 A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 7 2005 Positive solutions of an elliptic system depending on two parameters. Zbl 1212.35032Dickstein, Flavio 1 2005 Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B. 12 2003 Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 11 2003 A maximum principle for semilinear parabolic systems and applications. Zbl 0986.35044Dickstein, Flávio; Escobedo, Miguel 27 2001 Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B. 12 2001 On the influence of boundary conditions on flows in porous media. Zbl 0987.76092Cazenave, Thierry; Dickstein, Flávio 3 2001 On semilinear parabolic problems with non-Lipschitz nonlinearities. Zbl 0979.35079Dickstein, Flávio 2 2000 A semilinear heat equation with concave-convex nonlinearity. Zbl 0949.35071Cazenave, T.; Dickstein, F.; Escobedo, M. 14 1999 On the initial value problem for a linear model of well-reservoir coupling. Zbl 0893.35103Cazenave, Thierry; Dickstein, Flavio 1 1996 all cited Publications top 5 cited Publications all top 5 Cited by 284 Authors 16 Cazenave, Thierry 11 Wang, Liangwei 10 Weissler, Fred B. 9 Dickstein, Flávio 8 Loayza, Miguel 7 Kaikina, Elena Igorevna 7 Yin, Jingxue 6 Castillo, Ricardo 6 Fino, Ahmad Z. 6 Ianni, Isabella 6 Ishige, Kazuhiro 6 Li, Yaning 6 Liu, Baiyu 6 Naumkin, Ivan P. 6 Zhang, Quanguo 5 D’Abbicco, Marcello 5 Fujishima, Yohei 5 Pacella, Filomena 4 de Marchis, Francesca 4 Figueira, Mário S. R. 4 Jleli, Mohamed Boussairi 4 Kirane, Mokhtar 4 Samet, Bessem 4 Tayachi, Slim 3 Berbiche, Mohamed 3 de Andrade, Bruno 3 Dias, João-Paulo 3 Díaz Díaz, Jesús Ildefonso 3 Guzmán-Rea, Omar 3 Han, Zheng 3 Li, Xiaoliang 3 Li, Yuxiang 3 Ma, Li 3 Mu, Chunlai 3 Pokhozhaev, Stanislav I. 3 Sun, Fenglong 3 Suzuki, Masamitsu 3 Viana, Arlúcio 3 Wu, Yuqiu 3 Xie, Chunhong 2 Aparcana, Aldryn 2 Ben Slimene, Byrame 2 Borikhanov, Meiirkhan B. 2 Brandolese, Lorenzo 2 Correia, Simão 2 Deng, Weibing 2 Ebert, Marcelo Rempel 2 Ghoul, Tej-Eddine 2 Gladkov, Aleksandr L’vovich 2 Hakem, Ali 2 Harada, Junichi 2 Il’yasov, Yavdat Shavkatovich 2 Kaddour, Tayeb Hadj 2 Kawakami, Tatsuki 2 Li, Fuyi 2 Li, Jiaojiao 2 Liu, Lishan 2 Liu, Xuan 2 Lucente, Sandra 2 Martel, Yvan 2 Mouajria, Hattab 2 Nabti, Abderrazak 2 Nakamura, Makoto 2 Reissig, Michael 2 Robinson, James Cooper 2 Sciunzi, Berardino 2 Shi, Jincheng 2 Sierżȩga, Mikołaj 2 Souplet, Philippe 2 Sun, Hongrui 2 Winkler, Michael 2 Wu, Yonghong 2 Xie, Jian 2 Yin, Jngxue 2 Yuan, Jiye 2 Zhang, Ting 2 Zhao, Tengfei 2 Zheng, Jiqiang 2 Zhou, Jun 2 Zhu, Xiaoli 1 Abdellaoui, Boumediene 1 Ahmad, Ahmad M. 1 Ahmad, Bashir 1 Aiki, Toyohiko 1 Alqahtani, Awatif 1 Al-saedi, Ahmed Eid Salem 1 Ammar-Khodja, Farid 1 Anjum, Asia 1 Antontsev, Stanislav Nikolaevich 1 Attar, Ahmed 1 Bader, Ahmed 1 Balabane, Mikhael 1 Balanzario, Eugenio P. 1 Barakeh, Bilal 1 Bayindir, Cihan 1 Benabdallah, Assia 1 Biroud, Kheireddine 1 Bobkov, Vladimir E. 1 Bonet Solves, José 1 Bourgault, Yves ...and 184 more Authors all top 5 Cited in 88 Serials 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Journal of Differential Equations 17 Journal of Mathematical Analysis and Applications 11 Journal of Evolution Equations 9 Applicable Analysis 8 Applied Mathematics Letters 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Journal of Mathematical Physics 5 Communications in Contemporary Mathematics 5 Nonlinear Analysis. Real World Applications 5 Communications on Pure and Applied Analysis 4 Discrete and Continuous Dynamical Systems 3 Computers & Mathematics with Applications 3 Mathematische Annalen 3 Advanced Nonlinear Studies 3 Advances in Difference Equations 3 SN Partial Differential Equations and Applications 2 Archive for Rational Mechanics and Analysis 2 Mathematical Methods in the Applied Sciences 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 Applied Mathematics. Series B (English Edition) 2 Calculus of Variations and Partial Differential Equations 2 Doklady Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Acta Mathematica Sinica. English Series 2 Boundary Value Problems 2 International Journal of Biomathematics 2 Advances in Nonlinear Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Journal of Computational and Applied Mathematics 1 Results in Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Facta Universitatis. Series Mathematics and Informatics 1 Mathematical and Computer Modelling 1 Sugaku Expositions 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Topological Methods in Nonlinear Analysis 1 Kyushu Journal of Mathematics 1 Turkish Journal of Mathematics 1 The Journal of Fourier Analysis and Applications 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Fractional Calculus & Applied Analysis 1 Revista Matemática Complutense 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Fluid Mechanics 1 Journal of the European Mathematical Society (JEMS) 1 Differential Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Complex Variables and Elliptic Equations 1 Differential Equations & Nonlinear Mechanics 1 Communications in Mathematical Analysis 1 Banach Journal of Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Tbilisi Mathematical Journal 1 Differential Equations and Applications 1 International Journal of Differential Equations 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 ISRN Mathematical Analysis 1 International Journal of Partial Differential Equations 1 Séminaire Laurent Schwartz. EDP et Applications 1 Journal of Elliptic and Parabolic Equations 1 AIMS Mathematics 1 Electronic Research Archive all top 5 Cited in 21 Fields 222 Partial differential equations (35-XX) 12 Real functions (26-XX) 9 Operator theory (47-XX) 7 Mechanics of deformable solids (74-XX) 7 Fluid mechanics (76-XX) 6 Functional analysis (46-XX) 6 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 3 Integral equations (45-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Relativity and gravitational theory (83-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year