On the Propagation of Regularity of Solutions of the Kadomtsev--Petviashvili Equation
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Publication:2793838
DOI10.1137/15M1012098zbMath1346.35181arXiv1503.06114OpenAlexW1906623851MaRDI QIDQ2793838
Felipe Linares, Gustavo Ponce, Pedro Isaza J.
Publication date: 17 March 2016
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.06114
KdV equations (Korteweg-de Vries equations) (35Q53) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (15)
On the stabilization for the high-order Kadomtsev-Petviashvili and the Zakharov-Kuznetsov equations with localized damping ⋮ On special regularity properties of solutions of the Zakharov-Kuznetsov equation ⋮ On the propagation of regularity for solutions of the dispersion generalized Benjamin-Ono equation ⋮ On special regularity properties of solutions of the Benjamin-Ono-Zakharov-Kuznetsov (BO-ZK) equation ⋮ On the regularity of solutions to a class of nonlinear dispersive equations ⋮ The Cauchy problem for the rotation-modified Kadomtsev-Petviashvili type equation ⋮ On Kato's smoothing effect for a fractional version of the Zakharov-Kuznetsov equation ⋮ On the properties in solutions of the Shrira equation ⋮ Propagation of regularity for solutions to a Kawahara equation in two spatial dimensions ⋮ The Cauchy problem for a two-dimensional generalized Kadomtsev–Petviashvili-I equation in anisotropic Sobolev spaces ⋮ Propagation of regularity for solutions to the KP-I equation ⋮ On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation ⋮ On the propagation of regularity for solutions of the fractional Korteweg-de Vries equation ⋮ On the propagation of regularities in solutions of the fifth order Kadomtsev-Petviashvili II equation ⋮ On propagation of regularities and evolution of radius of analyticity in the solution of the fifth-order KdV-BBM model
Cites Work
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- On the propagation of regularities in solutions of the Benjamin-Ono equation
- Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]
- Inverse scattering for the heat operator and evolutions in \(2+1\) variables
- On the Cauchy problem for the Kadomtsev-Petviashvili equation
- Global well-posedness for the Kadomtsev-Petviashvili II equation
- On the local and global well-posedness theory for the KP-I equation
- Local solution for the Kadomtsev-Petviashvili equation in \(\mathbb{R}^ 2\)
- Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations
- LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV–PETVIASHVILI (KP–II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES
- On the Propagation of Regularity and Decay of Solutions to thek-Generalized Korteweg-de Vries Equation
- Well-posedness for the Kadomtsev-Petviashvili II equation and generalisations
- On equations of KP-type
- On the cauchy problem for kadomtsev-petviashvili equation
- Gain of regularity for the KP-II equation
- Remarks on the Mass Constraint for KP-Type Equations
- Introduction to nonlinear dispersive equations
- Global low-regularity solutions for Kadomtsev-Petviashvili equation
- Well-posedness for the Kadomtsev-Petviashvili II equation
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