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1

Autonomous Ovsyannikov theorem and applications to nonlocal evolution equations and systems

Barostichi, Rafael F., Himonas, A. Alexandrou, Petronilho, Gerson

Journal:

Journal of Functional Analysis

Year:

2015

Language:

english

File:

PDF, 1.33 MB

english, 2015

2

Global solvability on the torus for certain classes of formally self-adjoint operators

Gerson Petronilho

Journal:

manuscripta mathematica

Year:

2000

Language:

english

File:

PDF, 79 KB

english, 2000

3

On C∞and Gevrey Regularity of Sublaplacians

A. Alexandrou Himonas and Gerson Petronilho

Journal:

Transactions of the American Mathematical Society

Year:

2006

Language:

english

File:

PDF, 844 KB

english, 2006

4

Global Hypoellipticity and Simultaneous Approximability

A.Alexandrou Himonas, Gerson Petronilho

Journal:

Journal of Functional Analysis

Year:

2000

Language:

english

File:

PDF, 148 KB

english, 2000

5

On the Regularity up to the Boundary in the Dirichlet Problem for Degenerate Elliptic Equations

Adalberto P. Bergamasco, Jorge A. Gerszonowicz and Gerson Petronilho

Journal:

Transactions of the American Mathematical Society

Year:

1989

Language:

english

File:

PDF, 818 KB

english, 1989

6

Gevrey regularity of the periodic gKdV equation

Heather Hannah, A. Alexandrou Himonas, Gerson Petronilho

Journal:

Journal of Differential Equations

Year:

2011

Language:

english

File:

PDF, 231 KB

english, 2011

7

Closedness of the Range for Vector Fields on the Torus

Adalberto P. Bergamasco, Gerson Petronilho

Journal:

Journal of Differential Equations

Year:

1999

Language:

english

File:

PDF, 130 KB

english, 1999

8

On Gevrey regularity of globally hypoelliptic operators

A. Alexandrou Himonas, Gerson Petronilho

Journal:

Journal of Differential Equations

Year:

2004

Language:

english

File:

PDF, 280 KB

english, 2004

9

Global s-solvability, global s-hypoellipticity and Diophantine phenomena

Gerson Petronilho

Journal:

Indagationes Mathematicae

Year:

2005

Language:

english

File:

PDF, 962 KB

english, 2005

10

Global solvability for certain classes of underdetermined systems of vector fields

Adalberto P. Bergamasco, Paulo D. Cordaro, Gerson Petronilho

Journal:

Mathematische Zeitschrift

Year:

1996

Language:

english

File:

PDF, 598 KB

english, 1996

11

Global Solvability for a Class of Complex Vector Fields on the Two-Torus

Bergamasco, Adalberto P., Cordaro, Paulo D., Petronilho, Gerson

Journal:

Communications in Partial Differential Equations

Year:

2004

Language:

english

File:

PDF, 317 KB

english, 2004

12

The power series method for nonlocal and nonlinear evolution equations

Barostichi, Rafael F., Himonas, A. Alexandrou, Petronilho, Gerson

Journal:

Journal of Mathematical Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 355 KB

english, 2016

13

Global solvability for certain classes of underdetermined systems of vector fields

Adalberto P. Bergamasco, Paulo D. Cordaro, Gerson Petronilho

Journal:

Mathematische Zeitschrift

Year:

1996

Language:

english

File:

PDF, 598 KB

english, 1996

14

Analytic well-posedness of periodic gKdV

A. Alexandrou Himonas, Gerson Petronilho

Journal:

Journal of Differential Equations

Year:

2012

Language:

english

File:

PDF, 197 KB

english, 2012

15

Global analyticity for a generalized Camassa–Holm equation and decay of the radius of spatial analyticity

Barostichi, Rafael F., Himonas, A. Alexandrou, Petronilho, Gerson

Journal:

Journal of Differential Equations

Year:

2017

Language:

english

File:

PDF, 1.38 MB

english, 2017

16

Real-valued non-analytic solutions for the generalized Korteweg-de Vries equation

Himonas, A. Alexandrou, Petronilho, Gerson

Journal:

Proceedings of the American Mathematical Society

Year:

2011

Language:

english

File:

PDF, 174 KB

english, 2011

17

Global Solvability and Simultaneously Approximable Vectors

Gerson Petronilho

Journal:

Journal of Differential Equations

Year:

2002

Language:

english

File:

PDF, 160 KB

english, 2002

18

Evolution of the radius of spatial analyticity for the periodic BBM equation

Himonas, A. Alexandrou, Petronilho, Gerson

Journal:

Proceedings of the American Mathematical Society

Year:

2020

File:

PDF, 243 KB

2020

19

On the Borel property for solutions to systems of complex vector fields

Barostichi, Rafael F., Cordaro, Paulo D., Petronilho, Gerson

Journal:

Mathematische Nachrichten

Year:

2013

Language:

english

File:

PDF, 192 KB

english, 2013

20

On the hypoellipticity of degenerate elliptic boundary value problems

Adalberto P. Bergamasco, Gerson Petronilho

Journal:

Journal of Mathematical Analysis and Applications

Year:

1992

Language:

english

File:

PDF, 389 KB

english, 1992

21

Simultaneous reduction of a family of commuting real vector fields and global hypoellipticity

Gerson Petronilho

Journal:

Israel Journal of Mathematics

Year:

2006

Language:

english

File:

PDF, 433 KB

english, 2006

22

Global Solvability of a Class of Involutive Systems

Adalberto P Bergamasco, Gerson Petronilho

Journal:

Journal of Mathematical Analysis and Applications

Year:

1999

Language:

english

File:

PDF, 113 KB

english, 1999

23

Local uniqueness of solutions of the characteristic Cauchy problem

Petronilho, Gerson

Journal:

Journal of the Australian Mathematical Society

Year:

1992

Language:

english

File:

PDF, 321 KB

english, 1992

24

Radius of analyticity for the Camassa–Holm equation on the line

Himonas, A. Alexandrou, Petronilho, Gerson

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2018

Language:

english

File:

PDF, 739 KB

english, 2018

25

On global hypoellipticity of degenerate elliptic operators

A. Alexandrou Himonas, Gerson Petronilho

Journal:

Mathematische Zeitschrift

Year:

1999

Language:

english

File:

PDF, 143 KB

english, 1999

26

Existence of Gevrey approximate solutions for certain systems of linear vector fields applied to involutive systems of first-order nonlinear pdes

Rafael F. Barostichi, Gerson Petronilho

Journal:

Journal of Mathematical Analysis and Applications

Year:

2011

Language:

english

File:

PDF, 224 KB

english, 2011

27

Global analytic, Gevrey and C∞ hypoellipticity on the 3-torus

A. Alexandrou Himonas, Gerson Petronilho, L. A. Carvalho dos Santos

Journal:

Mathematische Nachrichten

Year:

2012

Language:

english

File:

PDF, 223 KB

english, 2012

28

On Gevrey solvability and regularity

Gerson Petronilho

Journal:

Mathematische Nachrichten

Year:

2009

Language:

english

File:

PDF, 158 KB

english, 2009

29

Global Solvability on the Torus for Certain Classes of Operators in the Form of a Sum of Squares of Vector Fields

Gerson Petronilho

Journal:

Journal of Differential Equations

Year:

1998

Language:

english

File:

PDF, 277 KB

english, 1998

30

Gevrey vectors in involutive tube structures and Gevrey regularity for the solutions of certain classes of semilinear systems

Jairo E. Castellanos, Paulo D. Cordaro, Gerson Petronilho

Journal:

Journal d'Analyse Mathématique

Year:

2013

Language:

english

File:

PDF, 392 KB

english, 2013

31

On the radius of spatial analyticity for the modified Kawahara equation on the line

Petronilho, Gerson, Leal da Silva, Priscila

Journal:

Mathematische Nachrichten

Year:

2019

Language:

english

File:

PDF, 219 KB

english, 2019

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