## Dickstein, Flávio

Compute Distance To:
 Author ID: dickstein.flavio Published as: Dickstein, Flávio; Dickstein, Flavio; Dickstein, F.
 Documents Indexed: 39 Publications since 1996 Co-Authors: 19 Co-Authors with 35 Joint Publications 353 Co-Co-Authors
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### 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. W. 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
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### 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
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### 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)

### Citations contained in zbMATH Open

34 Publications have been cited 308 times in 213 Documents Cited by Year
An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2008
A maximum principle for semilinear parabolic systems and applications. Zbl 0986.35044
Dickstein, Flávio; Escobedo, Miguel
2001
Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2013
Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball. Zbl 1168.35022
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045
Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred
2011
A semilinear heat equation with concave-convex nonlinearity. Zbl 0949.35071
Cazenave, T.; Dickstein, F.; Escobedo, M.
1999
Multi-scale multi-profile global solutions of parabolic equations in $$\mathbb{R}^N$$. Zbl 1250.35030
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2012
Universal solutions of a nonlinear heat equation on $$\mathbb R^N$$. Zbl 1170.35448
Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B.
2003
Blowup stability of solutions of the nonlinear heat equation with a large life span. Zbl 1100.35044
Dickstein, Flávio
2006
Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031
Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B.
2001
Universal solutions of the heat equation on $$\mathbb{R}^N$$. Zbl 1029.35105
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2003
Life span of solutions of a weakly coupled parabolic system. Zbl 1145.35065
Dickstein, Flávio; Loayza, Miguel
2008
Chaotic behavior of solutions of the Navier-Stokes system in $$\mathbb R^N$$. Zbl 1208.35101
Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2005
A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation. Zbl 1369.35083
Cazenave, Thierry; Correia, Simão; Dickstein, Flávio; Weissler, Fred B.
2015
Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2014
Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
Sign-changing stationary solutions and blowup for a nonlinear heat equation in dimension two. Zbl 1302.35215
Dickstein, Flávio; Pacella, Filomena; Sciunzi, Berardino
2014
A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2005
Nonparabolic asymptotic limits of solutions of the heat equation on $${\mathbb{R}}^N$$. Zbl 1143.35008
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2007
Life span of solutions of a strongly coupled parabolic system. Zbl 1157.35397
Dickstein, Flávio; Loayza, Miguel
2007
Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2011
A solution of the constant coefficient heat equation on $$\mathbb R$$ with exceptional asymptotic behavior: an explicit construction. Zbl 1096.35016
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2006
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
2019
On the structure of global solutions of the nonlinear heat equation in a ball. Zbl 1183.35171
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations. Zbl 1377.35046
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2017
Existence of standing waves for the complex Ginzburg-Landau equation. Zbl 1303.35105
Cipolatti, Rolci; Dickstein, Flávio; Puel, Jean-Pierre
2015
Multiscale asymptotic behavior of a solution of the heat equation on $$\mathbb R^N$$. Zbl 1107.35053
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2006
Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2010
On the influence of boundary conditions on flows in porous media. Zbl 0987.76092
Cazenave, Thierry; Dickstein, Flávio
2001
On semilinear parabolic problems with non-Lipschitz nonlinearities. Zbl 0979.35079
Dickstein, Flávio
2000
Sharp conditions for blowup of solutions of a chemotactical model for two species in $$\mathbb R^2$$. Zbl 1256.35178
Dickstein, Flávio
2013
On the initial value problem for a linear model of well-reservoir coupling. Zbl 0893.35103
Cazenave, Thierry; Dickstein, Flavio
1996
Positive solutions of an elliptic system depending on two parameters. Zbl 1212.35032
Dickstein, Flavio
2005
Truncated conjugate gradient and improved LBFGS and TSVD for history matching. Zbl 1405.86021
Dickstein, Flávio; Goldfeld, Paulo; Pfeiffer, Gustavo T.; Pinto, Renan V.
2018
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
2019
Truncated conjugate gradient and improved LBFGS and TSVD for history matching. Zbl 1405.86021
Dickstein, Flávio; Goldfeld, Paulo; Pfeiffer, Gustavo T.; Pinto, Renan V.
2018
Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations. Zbl 1377.35046
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2017
A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation. Zbl 1369.35083
Cazenave, Thierry; Correia, Simão; Dickstein, Flávio; Weissler, Fred B.
2015
Existence of standing waves for the complex Ginzburg-Landau equation. Zbl 1303.35105
Cipolatti, Rolci; Dickstein, Flávio; Puel, Jean-Pierre
2015
Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2014
Sign-changing stationary solutions and blowup for a nonlinear heat equation in dimension two. Zbl 1302.35215
Dickstein, Flávio; Pacella, Filomena; Sciunzi, Berardino
2014
Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2013
Sharp conditions for blowup of solutions of a chemotactical model for two species in $$\mathbb R^2$$. Zbl 1256.35178
Dickstein, Flávio
2013
Multi-scale multi-profile global solutions of parabolic equations in $$\mathbb{R}^N$$. Zbl 1250.35030
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2012
Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045
Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred
2011
Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2011
Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2010
Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball. Zbl 1168.35022
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
On the structure of global solutions of the nonlinear heat equation in a ball. Zbl 1183.35171
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2008
Life span of solutions of a weakly coupled parabolic system. Zbl 1145.35065
Dickstein, Flávio; Loayza, Miguel
2008
Nonparabolic asymptotic limits of solutions of the heat equation on $${\mathbb{R}}^N$$. Zbl 1143.35008
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2007
Life span of solutions of a strongly coupled parabolic system. Zbl 1157.35397
Dickstein, Flávio; Loayza, Miguel
2007
Blowup stability of solutions of the nonlinear heat equation with a large life span. Zbl 1100.35044
Dickstein, Flávio
2006
A solution of the constant coefficient heat equation on $$\mathbb R$$ with exceptional asymptotic behavior: an explicit construction. Zbl 1096.35016
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2006
Multiscale asymptotic behavior of a solution of the heat equation on $$\mathbb R^N$$. Zbl 1107.35053
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2006
Chaotic behavior of solutions of the Navier-Stokes system in $$\mathbb R^N$$. Zbl 1208.35101
Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2005
A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2005
Positive solutions of an elliptic system depending on two parameters. Zbl 1212.35032
Dickstein, Flavio
2005
Universal solutions of a nonlinear heat equation on $$\mathbb R^N$$. Zbl 1170.35448
Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B.
2003
Universal solutions of the heat equation on $$\mathbb{R}^N$$. Zbl 1029.35105
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2003
A maximum principle for semilinear parabolic systems and applications. Zbl 0986.35044
Dickstein, Flávio; Escobedo, Miguel
2001
Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031
Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B.
2001
On the influence of boundary conditions on flows in porous media. Zbl 0987.76092
Cazenave, Thierry; Dickstein, Flávio
2001
On semilinear parabolic problems with non-Lipschitz nonlinearities. Zbl 0979.35079
Dickstein, Flávio
2000
A semilinear heat equation with concave-convex nonlinearity. Zbl 0949.35071
Cazenave, T.; Dickstein, F.; Escobedo, M.
1999
On the initial value problem for a linear model of well-reservoir coupling. Zbl 0893.35103
Cazenave, Thierry; Dickstein, Flavio
1996
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### Cited by 264 Authors

 16 Cazenave, Thierry 11 Wang, Liangwei 10 Weissler, Fred B. 9 Dickstein, Flávio 8 Loayza, Miguel 7 Yin, Jingxue 6 Castillo, Ricardo 6 Ianni, Isabella 6 Ishige, Kazuhiro 6 Kaikina, Elena Igorevna 6 Li, Yaning 6 Liu, Baiyu 6 Naumkin, Ivan P. 6 Zhang, Quanguo 5 D’Abbicco, Marcello 5 Fino, Ahmad Z. 5 Fujishima, Yohei 5 Pacella, Filomena 4 de Marchis, Francesca 4 Figueira, Mário S. R. 4 Jleli, Mohamed Boussairi 4 Samet, Bessem 4 Tayachi, Slim 3 Dias, João-Paulo 3 Diaz Diaz, Jesus Ildefonso 3 Guzmán-Rea, Omar 3 Han, Zheng 3 Kirane, Mokhtar 3 Li, Xiaoliang 3 Li, Yuxiang 3 Ma, Li 3 Mu, Chunlai 3 Pokhozhaev, Stanislav I. 3 Suzuki, Masamitsu 3 Viana, Arlúcio 3 Wu, Yuqiu 3 Xie, Chunhong 2 Aparcana, Aldryn 2 Ben Slimene, Byrame 2 Berbiche, Mohamed 2 Brandolese, Lorenzo 2 Correia, Simão 2 de Andrade, Bruno 2 Deng, Weibing 2 Ebert, Marcelo Rempel 2 Ghoul, Tej-Eddine 2 Gladkov, Alexander L’vovich 2 Hakem, Ali 2 Harada, Junichi 2 Il’yasov, Yavdat Shavkatovich 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 Robinson, James Cooper 2 Sciunzi, Berardino 2 Sierżȩga, Mikołaj 2 Souplet, Philippe 2 Sun, Fenglong 2 Sun, Hongrui 2 Winkler, Michael 2 Wu, Yonghong 2 Xie, Jian 2 Yin, Jngxue 2 Yuan, Jiye 2 Zhao, Tengfei 2 Zheng, Jiqiang 2 Zhou, Jun 2 Zhu, Xiaoli 1 Abdellaoui, Boumediene 1 Ahmad, Ahmad M. 1 Aiki, Toyohiko 1 Alqahtani, Awatif 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 1 Cao, Jinde 1 Cao, Yang 1 Chen, Caisheng 1 Chen, Wenhui 1 Cipolatti, Rolci A. 1 Constantin, Adrian 1 Corrêa, Wellington José 1 Coudière, Yves 1 Cui, Zhoujin ...and 164 more Authors
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### Cited in 82 Serials

 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Journal of Differential Equations 16 Journal of Mathematical Analysis and Applications 11 Journal of Evolution Equations 8 Applicable Analysis 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Applied Mathematics Letters 5 Communications in Contemporary Mathematics 5 Nonlinear Analysis. Real World Applications 4 Journal of Mathematical Physics 4 Discrete and Continuous Dynamical Systems 4 Communications on Pure and Applied Analysis 3 Computers & Mathematics with Applications 3 Mathematische Annalen 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 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 Advanced Nonlinear Studies 2 Advances in Difference Equations 2 Boundary Value Problems 2 International Journal of Biomathematics 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 Journal of Computational and Applied Mathematics 1 Results in Mathematics 1 Tohoku 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 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 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 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 Differential Equations and Applications 1 International Journal of Differential Equations 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 ISRN Mathematical Analysis 1 Advances in Nonlinear Analysis 1 International Journal of Partial Differential Equations 1 Séminaire Laurent Schwartz. EDP et Applications 1 Journal of Elliptic and Parabolic Equations 1 Electronic Research Archive
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### Cited in 21 Fields

 206 Partial differential equations (35-XX) 10 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 Classical thermodynamics, heat transfer (80-XX) 3 Integral equations (45-XX) 3 Probability theory and stochastic processes (60-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-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 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)