AbstractIn this paper we obtain results about local existence, uniqueness, regularity, and continuous dependence on the initial data for the solution of the Kadomtsev-Petviashvili equation with positive dispersion in R2 and initial data in Sobolev spaces of order s ≥ 3. Our method uses an approximated problem where the theory of quasi-linear evolution equations is applicable
Herr S. The Kadomtsev-Petviashvili-II equation in critical spaces (Extended abstract of joint work ...
International audienceWe present a numerical approach to study solutions to the dispersionless Kadom...
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do...
Abstract. It is proved that the Cauchy problem for the Kadomtsev-Petviashvili equation (KPII) is glo...
We prove several dispersive estimates for the linear part of the Full Dispersion Kadomtsev–Petviashv...
In this article we study the generalized dispersion version of the Kadomtsev-Petviashvili II equati...
AbstractConsidered herein is the dissipation-modified Kadomtsev–Petviashvili equation in two space-d...
AbstractWe prove global well-posedness for the Cauchy problem associated with the Kadomtsev–Petviash...
We study the (n+1)-dimensional generalization of the dispersionless Kadomtsev-Petviashvili (dKP) equ...
We define the anisotropic Sobolev spaces as $H^{s_1,s_2}(M\times N)=\{g\in L^2(M\times N):\|g\|_{H^...
The initial value problem is considered for the Zakharov-Kuznetsov equation in two spatial dimension...
AbstractThe question of globalization of solutions of the Cauchy problem for some generalizations of...
We generalize a method introduced by Bourgain in cite{Borg} based on complex analysis to address two...
AbstractWe consider the fifth order Kadomtsev–Petviashvili I (KP-I) equation as ∂tu+α∂x3u+∂x5u+∂x−1∂...
AbstractIn this paper we establish the local and global well-posedness of the real valued fifth orde...
Herr S. The Kadomtsev-Petviashvili-II equation in critical spaces (Extended abstract of joint work ...
International audienceWe present a numerical approach to study solutions to the dispersionless Kadom...
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do...
Abstract. It is proved that the Cauchy problem for the Kadomtsev-Petviashvili equation (KPII) is glo...
We prove several dispersive estimates for the linear part of the Full Dispersion Kadomtsev–Petviashv...
In this article we study the generalized dispersion version of the Kadomtsev-Petviashvili II equati...
AbstractConsidered herein is the dissipation-modified Kadomtsev–Petviashvili equation in two space-d...
AbstractWe prove global well-posedness for the Cauchy problem associated with the Kadomtsev–Petviash...
We study the (n+1)-dimensional generalization of the dispersionless Kadomtsev-Petviashvili (dKP) equ...
We define the anisotropic Sobolev spaces as $H^{s_1,s_2}(M\times N)=\{g\in L^2(M\times N):\|g\|_{H^...
The initial value problem is considered for the Zakharov-Kuznetsov equation in two spatial dimension...
AbstractThe question of globalization of solutions of the Cauchy problem for some generalizations of...
We generalize a method introduced by Bourgain in cite{Borg} based on complex analysis to address two...
AbstractWe consider the fifth order Kadomtsev–Petviashvili I (KP-I) equation as ∂tu+α∂x3u+∂x5u+∂x−1∂...
AbstractIn this paper we establish the local and global well-posedness of the real valued fifth orde...
Herr S. The Kadomtsev-Petviashvili-II equation in critical spaces (Extended abstract of joint work ...
International audienceWe present a numerical approach to study solutions to the dispersionless Kadom...
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do...
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