On the propagation of regularity and decay of solutions to the Benjamin equation

DOI10.1063/1.5026916zbMath1394.76032arXiv1801.09966OpenAlexW2785907816MaRDI QIDQ4583072

Publication date: 27 August 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09966

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Internal waves for incompressible inviscid fluids (76B55) Integro-partial differential equations (35R09)

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On the properties in solutions of the Shrira equation ⋮ The existence of weak solutions and propagation regularity for a generalized KdV system

Cites Work

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Sharp well-posedness for the Benjamin equation
The IVP for the Benjamin-Ono equation in weighted Sobolev spaces. II.
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Global well-posedness for the Benjamin equation in low regularity
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
Existence and stability of solitary wave solutions of the Benjamin equation
\(L^2\) global well-posedness of the initial value problem associated to the Benjamin equation
On generalized Benjamin type equations
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Propagation of regularity and persistence of decay for fifth order dispersive models
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The Cauchy problem for the generalized Korteweg-de Vries-Benjamin-Ono equation with low regularity data.
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On the decay properties of solutions to a class of Schrödinger equations
On the Persistent Properties of Solutions to Semi-Linear Schrödinger Equation
Commutator estimates and the euler and navier-stokes equations
A new kind of solitary wave
THE CAUCHY PROBLEM FOR A THIRD ORDER NONLINEAR SCHRÖDINGER EQUATION
Solitary-Wave Solutions of the Benjamin Equation
A bilinear estimate with applications to the KdV equation
COMMUTATORS OF SINGULAR INTEGRAL OPERATORS

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