Propagation of regularity and persistence of decay for fifth order dispersive models
From MaRDI portal
Publication:2408672
DOI10.1007/S10884-015-9499-XzbMath1382.35258arXiv1502.01796OpenAlexW1910975938MaRDI QIDQ2408672
Jun-Ichi Segata, Derek L. Smith
Publication date: 12 October 2017
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.01796
Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (5)
On some regularity properties for the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov equation ⋮ On the propagation of regularity for solutions of the dispersion generalized Benjamin-Ono equation ⋮ On the propagation of regularity and decay of solutions to the Benjamin equation ⋮ On Kato's smoothing effect for a fractional version of the Zakharov-Kuznetsov equation ⋮ The existence of weak solutions and propagation regularity for a generalized KdV system
Cites Work
- Unnamed Item
- Unnamed Item
- Decay properties for solutions of fifth order nonlinear dispersive equations
- Lax pairs and higher order models for water waves
- On the propagation of regularities in solutions of the Benjamin-Ono equation
- On the Cauchy problem for higher-order nonlinear dispersive equations
- On the fifth-order KdV equation: Local well-posedness and lack of uniform continuity of the solution map
- Solutions of the Korteweg-de Vries equation from irregular data
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation
- Rough solutions of the fifth-order KdV equations
- On finite energy solutions of the KP-I equation
- Ill-Posedness Issues for the Benjamin--Ono and Related Equations
- On the Propagation of Regularity and Decay of Solutions to thek-Generalized Korteweg-de Vries Equation
- Korteweg‐devries equation and generalizations. VI. methods for exact solution
- A General Theory for Interactions Between Short and Long Waves
- Higher-Order Nonlinear Dispersive Equations
- Well-posedness for the fifth-order KdV equation in the energy space
- Integrals of nonlinear equations of evolution and solitary waves
- Introduction to nonlinear dispersive equations
This page was built for publication: Propagation of regularity and persistence of decay for fifth order dispersive models