On the well-posedness of the dissipative Kadomtsev-Petviashvili equation

DOI10.1134/S0001434620010332zbMath1441.35106OpenAlexW3010489343MaRDI QIDQ2191969

Amin Esfahani, Hongwei Wang

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620010332

zbMATH Keywords

Cauchy problemStrichartz estimatesBourgain spaces

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• The Cauchy problem for the dissipation-modified Kadomtsev-Petviashvili equation
• On the well-posedness for Kadomtsev-Petviashvili-Burgers I equation
• Global well-posedness of the KP-I initial-value problem in the energy space
• On the Cauchy problem for the Kadomtsev-Petviashvili equation
• Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations
• Sharp well-posedness for Kadomtsev-Petviashvili-Burgers (KPBII) equation in \(\mathbb R^2\)
• On global existence and scattering for the wave maps equation
• Global Well-Posedness for Dissipative Korteweg-de Vries Equations
• Ill-posedness results for the (generalized) Benjamin-Ono-Zakharov-Kuznetsov equation
• Well-posedness for the Kadomtsev-Petviashvili II equation and generalisations
• Evolution Equations for Weakly Nonlinear, Long Internal Waves in a Rotating Fluid
• The Global Cauchy Problem in Bourgain's-Type Spaces for a Dispersive Dissipative Semilinear Equation
• A bilinear estimate with applications to the KdV equation
• Quadratic forms for the 1-D semilinear Schrödinger equation
• Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation