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Petronilho, Gerson

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Author ID: petronilho.gerson Recent zbMATH articles by "Petronilho, Gerson"
Published as: Petronilho, G.; Petronilho, Gerson
Documents Indexed: 48 Publications since 1989

Publications by Year

Citations contained in zbMATH

38 Publications have been cited 311 times in 143 Documents Cited by Year
Global solvability for a class of complex vector fields on the two-torus. Zbl 1065.35088
Bergamasco, Adalberto P.; Cordaro, Paulo D.; Petronilho, Gerson
25
2004
Global solvability for certain classes of underdetermined systems of vector fields. Zbl 0863.58062
Bergamasco, Adalberto P.; Cordaro, Paulo D.; Petronilho, Gerson
21
1996
Global hypoellipticity and simultaneous approximability. Zbl 0943.35013
Himonas, A. Alexandrou; Petronilho, Gerson
20
2000
Gevrey regularity of the periodic gKdV equation. Zbl 1209.35117
Hannah, Heather; Himonas, A. Alexandrou; Petronilho, Gerson
19
2011
Analytic well-posedness of periodic gKdV. Zbl 1255.35192
Himonas, A. Alexandrou; Petronilho, Gerson
17
2012
Autonomous Ovsyannikov theorem and applications to nonlocal evolution equations and systems. Zbl 1331.35299
Barostichi, Rafael F.; Himonas, A. Alexandrou; Petronilho, Gerson
16
2016
The Cauchy problem of a periodic higher order KdV equation in analytic Gevrey spaces. Zbl 1309.35108
Gorsky, J.; Himonas, A. Alexandrou; Holliman, C.; Petronilho, G.
13
2013
On global hypoellipticity of degenerate elliptic operators. Zbl 0931.35034
Himonas, A. Alexandrou; Petronilho, Gerson
13
1999
Closedness of the range for vector fields on the torus. Zbl 0926.35030
Bergamasco, Adalberto P.; Petronilho, Gerson
11
1999
Global hypoellipticity, global solvability and normal form for a class of real vector fields on a torus and application. Zbl 1235.35010
Petronilho, G.
10
2011
Gevrey regularity in time for generalized KdV type equations. Zbl 1101.35066
Hannah, Heather; Himonas, A. Alexandrou; Petronilho, Gerson
10
2006
Global solvability and simultaneously approximable vectors. Zbl 1157.35336
Petronilho, Gerson
10
2002
Gevrey micro-regularity for solutions to first order nonlinear PDE. Zbl 1180.35024
Barostichi, R. F.; Petronilho, G.
9
2009
On \(C^\infty\) and Gevrey regularity of sublaplacians. Zbl 1109.35027
Himonas, A. Alexandrou; Petronilho, Gerson
8
2006
Global \(s\)-solvability, global \(s\)-hypoellipticity and Diophantine phenomena. Zbl 1065.35100
Petronilho, Gerson
8
2005
On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators. Zbl 1082.35061
Himonas, A. Alexandrou; Petronilho, Gerson
8
2004
Propagation of regularity and global hypoellipticity. Zbl 1028.35049
Himonas, A. Alexandrou; Petronilho, Gerson
8
2002
Global solvability on the torus for certain classes of formally self-adjoint operators. Zbl 0994.58012
Petronilho, Gerson
8
2000
Global solvability on the torus for certain classes of operators in the form of a sum of squares of vector fields. Zbl 0931.35035
Petronilho, Gerson
8
1998
Global solvability of a class of involutive systems. Zbl 0942.35011
Bergamasco, Adalberto P.; Petronilho, Gerson
7
1999
Global analyticity for a generalized Camassa-Holm equation and decay of the radius of spatial analyticity. Zbl 1447.35288
Barostichi, Rafael F.; Himonas, A. Alexandrou; Petronilho, Gerson
6
2017
The power series method for nonlocal and nonlinear evolution equations. Zbl 1343.35057
Barostichi, Rafael F.; Himonas, A. Alexandrou; Petronilho, Gerson
6
2016
A Cauchy-Kovalevsky theorem for nonlinear and nonlocal equations. Zbl 1327.35001
Barostichi, Rafael F.; Himonas, A. Alexandrou; Petronilho, Gerson
5
2015
Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields. Zbl 1155.35010
Petronilho, G.; Zani, S. L.
5
2008
Simultaneous reduction of a family of commuting real vector fields and global hypoellipticity. Zbl 1137.35016
Petronilho, Gerson
5
2006
Regularity of a class of subLaplacians on the 3-dimensional torus. Zbl 1112.58021
Himonas, A. A.; Petronilho, G.; Dos Santos, L. A. C.
5
2006
On the Borel property for solutions to systems of complex vector fields. Zbl 1277.35113
Barostichi, Rafael F.; Cordaro, Paulo D.; Petronilho, Gerson
4
2013
Anisotropic Gevrey regularity for mKdV on the circle. Zbl 1306.35108
Hannah, Heather; Himonas, A. Alexandrou; Petronilho, Gerson
4
2011
Analytic vectors in locally integrable structures. Zbl 1236.35016
Barostichi, Rafael F.; Cordaro, Paulo D.; Petronilho, Gerson
4
2011
Real-valued non-analytic solutions for the generalized Korteweg-de Vries equation. Zbl 1222.35170
Himonas, A. Alexandrou; Petronilho, Gerson
4
2011
On Gevrey solvability and regularity. Zbl 1172.35365
Petronilho, Gerson
4
2009
Gevrey vectors in involutive tube structures and Gevrey regularity for the solutions of certain classes of semilinear systems. Zbl 1308.35007
Castellanos, Jairo E.; Cordaro, Paulo D.; Petronilho, Gerson
3
2013
Strong unique continuation for systems of complex vector fields. Zbl 1292.35066
Barostichi, R. F.; Cordaro, P. D.; Petronilho, G.
2
2014
Radius of analyticity for the Camassa-Holm equation on the line. Zbl 1391.35340
Himonas, A. Alexandrou; Petronilho, Gerson
1
2018
Global hypoellipticity and simultaneous approximability in ultradifferentiable classes. Zbl 1366.58007
Barostichi, R. F.; Ferra, I. A.; Petronilho, G.
1
2017
Existence of Gevrey approximate solutions for certain systems of linear vector fields applied to involutive systems of first-order nonlinear PDEs. Zbl 1228.35278
Barostichi, Rafael F.; Petronilho, Gerson
1
2011
Global hypoellipticity for sublaplacians. Zbl 0982.35032
Himonas, A. Alexandrou; Petronilho, Gerson
1
2000
On the regularity up to the boundary in the Dirichlet problem for degenerate elliptic equations. Zbl 0681.35021
Bergamasco, Adalberto P.; Gerszonowicz, Jorge A.; Petronilho, Gerson
1
1989
Radius of analyticity for the Camassa-Holm equation on the line. Zbl 1391.35340
Himonas, A. Alexandrou; Petronilho, Gerson
1
2018
Global analyticity for a generalized Camassa-Holm equation and decay of the radius of spatial analyticity. Zbl 1447.35288
Barostichi, Rafael F.; Himonas, A. Alexandrou; Petronilho, Gerson
6
2017
Global hypoellipticity and simultaneous approximability in ultradifferentiable classes. Zbl 1366.58007
Barostichi, R. F.; Ferra, I. A.; Petronilho, G.
1
2017
Autonomous Ovsyannikov theorem and applications to nonlocal evolution equations and systems. Zbl 1331.35299
Barostichi, Rafael F.; Himonas, A. Alexandrou; Petronilho, Gerson
16
2016
The power series method for nonlocal and nonlinear evolution equations. Zbl 1343.35057
Barostichi, Rafael F.; Himonas, A. Alexandrou; Petronilho, Gerson
6
2016
A Cauchy-Kovalevsky theorem for nonlinear and nonlocal equations. Zbl 1327.35001
Barostichi, Rafael F.; Himonas, A. Alexandrou; Petronilho, Gerson
5
2015
Strong unique continuation for systems of complex vector fields. Zbl 1292.35066
Barostichi, R. F.; Cordaro, P. D.; Petronilho, G.
2
2014
The Cauchy problem of a periodic higher order KdV equation in analytic Gevrey spaces. Zbl 1309.35108
Gorsky, J.; Himonas, A. Alexandrou; Holliman, C.; Petronilho, G.
13
2013
On the Borel property for solutions to systems of complex vector fields. Zbl 1277.35113
Barostichi, Rafael F.; Cordaro, Paulo D.; Petronilho, Gerson
4
2013
Gevrey vectors in involutive tube structures and Gevrey regularity for the solutions of certain classes of semilinear systems. Zbl 1308.35007
Castellanos, Jairo E.; Cordaro, Paulo D.; Petronilho, Gerson
3
2013
Analytic well-posedness of periodic gKdV. Zbl 1255.35192
Himonas, A. Alexandrou; Petronilho, Gerson
17
2012
Gevrey regularity of the periodic gKdV equation. Zbl 1209.35117
Hannah, Heather; Himonas, A. Alexandrou; Petronilho, Gerson
19
2011
Global hypoellipticity, global solvability and normal form for a class of real vector fields on a torus and application. Zbl 1235.35010
Petronilho, G.
10
2011
Anisotropic Gevrey regularity for mKdV on the circle. Zbl 1306.35108
Hannah, Heather; Himonas, A. Alexandrou; Petronilho, Gerson
4
2011
Analytic vectors in locally integrable structures. Zbl 1236.35016
Barostichi, Rafael F.; Cordaro, Paulo D.; Petronilho, Gerson
4
2011
Real-valued non-analytic solutions for the generalized Korteweg-de Vries equation. Zbl 1222.35170
Himonas, A. Alexandrou; Petronilho, Gerson
4
2011
Existence of Gevrey approximate solutions for certain systems of linear vector fields applied to involutive systems of first-order nonlinear PDEs. Zbl 1228.35278
Barostichi, Rafael F.; Petronilho, Gerson
1
2011
Gevrey micro-regularity for solutions to first order nonlinear PDE. Zbl 1180.35024
Barostichi, R. F.; Petronilho, G.
9
2009
On Gevrey solvability and regularity. Zbl 1172.35365
Petronilho, Gerson
4
2009
Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields. Zbl 1155.35010
Petronilho, G.; Zani, S. L.
5
2008
Gevrey regularity in time for generalized KdV type equations. Zbl 1101.35066
Hannah, Heather; Himonas, A. Alexandrou; Petronilho, Gerson
10
2006
On \(C^\infty\) and Gevrey regularity of sublaplacians. Zbl 1109.35027
Himonas, A. Alexandrou; Petronilho, Gerson
8
2006
Simultaneous reduction of a family of commuting real vector fields and global hypoellipticity. Zbl 1137.35016
Petronilho, Gerson
5
2006
Regularity of a class of subLaplacians on the 3-dimensional torus. Zbl 1112.58021
Himonas, A. A.; Petronilho, G.; Dos Santos, L. A. C.
5
2006
Global \(s\)-solvability, global \(s\)-hypoellipticity and Diophantine phenomena. Zbl 1065.35100
Petronilho, Gerson
8
2005
Global solvability for a class of complex vector fields on the two-torus. Zbl 1065.35088
Bergamasco, Adalberto P.; Cordaro, Paulo D.; Petronilho, Gerson
25
2004
On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators. Zbl 1082.35061
Himonas, A. Alexandrou; Petronilho, Gerson
8
2004
Global solvability and simultaneously approximable vectors. Zbl 1157.35336
Petronilho, Gerson
10
2002
Propagation of regularity and global hypoellipticity. Zbl 1028.35049
Himonas, A. Alexandrou; Petronilho, Gerson
8
2002
Global hypoellipticity and simultaneous approximability. Zbl 0943.35013
Himonas, A. Alexandrou; Petronilho, Gerson
20
2000
Global solvability on the torus for certain classes of formally self-adjoint operators. Zbl 0994.58012
Petronilho, Gerson
8
2000
Global hypoellipticity for sublaplacians. Zbl 0982.35032
Himonas, A. Alexandrou; Petronilho, Gerson
1
2000
On global hypoellipticity of degenerate elliptic operators. Zbl 0931.35034
Himonas, A. Alexandrou; Petronilho, Gerson
13
1999
Closedness of the range for vector fields on the torus. Zbl 0926.35030
Bergamasco, Adalberto P.; Petronilho, Gerson
11
1999
Global solvability of a class of involutive systems. Zbl 0942.35011
Bergamasco, Adalberto P.; Petronilho, Gerson
7
1999
Global solvability on the torus for certain classes of operators in the form of a sum of squares of vector fields. Zbl 0931.35035
Petronilho, Gerson
8
1998
Global solvability for certain classes of underdetermined systems of vector fields. Zbl 0863.58062
Bergamasco, Adalberto P.; Cordaro, Paulo D.; Petronilho, Gerson
21
1996
On the regularity up to the boundary in the Dirichlet problem for degenerate elliptic equations. Zbl 0681.35021
Bergamasco, Adalberto P.; Gerszonowicz, Jorge A.; Petronilho, Gerson
1
1989
all top 5

Cited by 134 Authors

29 Petronilho, Gerson
21 Himonas, A. Alexandrou
20 Bergamasco, Adalberto Panobianco
14 Dattori da Silva, Paulo L.
12 Kirilov, Alexandre
7 Barostichi, Rafael F.
7 Gonzalez, Rafael Borro
7 Zani, Sérgio Luís
6 Cordaro, Paulo D.
6 Hoepfner, Gustavo
6 Meziani, Abdelhamid
5 Albanese, Angela Anna
5 Derridj, Makhlouf
4 Adwan, Ziad
4 da Silva, Daniel Oliveira
4 de Ávila Silva, Fernando
4 De Medeira, Cleber
4 Tesfahun, Achenef
3 de Moraes, Wagner A. A.
3 Della Sala, Giuseppe
3 Lamel, Bernhard
3 Nunes, Wagner Vieira Leite
3 Raich, Andrew S.
3 Ruzhansky, Michael V.
3 Selberg, Sigmund
3 Zugliani, Giuliano Angelo
2 Berhanu, Shiferaw
2 Carvalho dos Santos, L. A.
2 Chinni, Gregorio
2 Daletskii, Alexei
2 Ferra, Igor A.
2 Figueira, Renata O.
2 Friesen, Martin
2 Holliman, Curtis
2 Hounie, Jorge G.
2 Huang, Chuangxia
2 Kalisch, Henrik
2 Kristensen, Simon
2 Popivanov, Petar Radoev
2 Qiao, Zhijun
2 Wang, Ming
2 Zhang, Zaiyun
2 Zhu, Wen
1 Albeverio, Sergio A.
1 Apostol, Bogdan-Felix
1 Araujo, Gabriel M.
1 Arias Junior, Alexandre
1 Barral, Julien
1 Beresnevich, Victor V.
1 Bergamasco, Alberto P.
1 Boukarou, Aissa
1 Brzeźniak, Zdzisław
1 Caetano, Paulo A. S.
1 Cappiello, Marco
1 Castro, Alejandro J.
1 Chen, Lina
1 da Silva, Evandro Raimundo
1 D’Ancona, Piero
1 De Carli, Laura
1 Deng, Youjun
1 Dodson, Maurice M.
1 Du, Zengji
1 Ebert, Marcelo Rempel
1 Fang, Chunhua
1 Gorbachëv, Dmitriĭ Viktorovich
1 Gorsky, Jennifer M.
1 Goubet, Olivier
1 Gramchev, Todor V.
1 Grayshan, Katelyn
1 Grujić, Zoran
1 Guan, Chunxia
1 Guerbati, Kaddour
1 Guo, Zhengguang
1 Hailu, Abraham
1 Hannah, Heather
1 Harrap, Stephen B.
1 He, Fan
1 He, Huijun
1 Holmes, John H.
1 Hoshino, Gaku
1 Hu, Qiaoyi
1 Huang, Daiwen
1 Huang, Jianhua
1 Hussain, Mumtaz
1 Il’kiv, Volodymyr Stepanovych
1 Jahnke, M. R.
1 Jorge da Silva, Marcio Antonio
1 Jornet, David
1 Kondo, Cezar I.
1 Kordyukov, Yuri A.
1 Kutoviy, Oleksandr V.
1 Levesley, Jason
1 Li, Dongfang
1 Li, Ji
1 Li, Limei
1 Li, Xiaowan
1 Li, Xiuge
1 Li, Yin
1 Lin, Shi-You
1 Liu, Zhenhai
...and 34 more Authors
all top 5

Cited in 49 Serials

25 Journal of Differential Equations
20 Journal of Mathematical Analysis and Applications
9 Journal of Functional Analysis
6 Proceedings of the American Mathematical Society
6 Transactions of the American Mathematical Society
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Bulletin des Sciences Mathématiques
3 Mathematische Annalen
3 Mathematische Nachrichten
3 Communications in Partial Differential Equations
3 Discrete and Continuous Dynamical Systems
3 The Journal of Fourier Analysis and Applications
2 Journal of Mathematical Physics
2 Nonlinearity
2 Advances in Mathematics
2 Monatshefte für Mathematik
2 The Journal of Geometric Analysis
2 Journal of Nonlinear Science
2 NoDEA. Nonlinear Differential Equations and Applications
2 Annales Henri Poincaré
2 Nonlinear Analysis. Real World Applications
2 Journal of Pseudo-Differential Operators and Applications
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Indiana University Mathematics Journal
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Annals of Global Analysis and Geometry
1 Journal of Elasticity
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Dynamics and Differential Equations
1 Indagationes Mathematicae. New Series
1 Calculus of Variations and Partial Differential Equations
1 Electronic Journal of Probability
1 Sbornik: Mathematics
1 Analysis (München)
1 Communications in Contemporary Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Fixed Point Theory and Applications
1 Advances in Pure and Applied Mathematics
1 Journal of Spectral Theory
1 Carpathian Mathematical Publications
1 Open Mathematics
1 Proceedings of the American Mathematical Society. Series B
1 Tunisian Journal of Mathematics

Citations by Year