Odd-order quasilinear evolution equations with general nonlinearity on bounded intervals
type: Item
instance of: scholarly article
title: Odd-order quasilinear evolution equations with general nonlinearity on bounded intervals
zbMATH Open document ID: 1465.35120
DOI: 10.1134/S1995080221050048
published in: Lobachevskii Journal of Mathematics
publication date: 2021-06-11T00:00:00Z
Mathematics Subject Classification ID: 35G31
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 7357838
zbMATH Keywords: one space dimension
zbMATH Keywords: global existence
zbMATH Keywords: uniqueness
zbMATH Keywords: large-time decay
author: Andrei V. Faminskii
MaRDI profile type: Publication
cites work: Energy decay for the modified Kawahara equation posed in a bounded domain
cites work: Long Waves on Liquid Films
cites work: A General Theory for Interactions Between Short and Long Waves
cites work: Solitary and Periodic Solutions of Nonlinear Nonintegrable Equations
cites work: Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
cites work: A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II.
cites work: Linear Instability of Solitary Wave Solutions of the Kawahara Equation and Its Generalizations
cites work: Neumann Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain
cites work: General boundary value problems of the Korteweg-de Vries equation on a bounded domain
cites work: The Korteweg-de Vries-Kawahara equation in a bounded domain and some numerical results
cites work: THE CAUCHY PROBLEM FOR ODD-ORDER QUASILINEAR EQUATIONS
cites work: Q5187751
cites work: Odd-order quasilinear evolution equations posed on a bounded interval
cites work: On the controllability of the fifth-order Korteweg-de Vries equation
cites work: Existence of perturbed solitary wave solutions to a model equation for water waves
cites work: The Initial-Boundary Value Problem for the Korteweg–de Vries Equation
cites work: Well-posedness for the fifth-order shallow water equations
cites work: A non-linear equation incorporating damping and dispersion
cites work: Decay properties for solutions of fifth order nonlinear dispersive equations
cites work: On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ
cites work: Local well-posedness for the KdV hierarchy at high regularity
cites work: Higher-Order Nonlinear Dispersive Equations
cites work: The Kawahara equation in weighted Sobolev spaces
cites work: Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
cites work: Nonhomogeneous boundary value problems for the Korteweg-de Vries equation on a bounded domain
cites work: Well-posedness of a class of non-homogeneous boundary value problems of the Korteweg-de Vries equation on a finite domain
cites work: Well-posedness and ill-posedness of the fifth order modifed KdV equation
cites work: Q3065381
cites work: Initial-boundary value problems for generalized dispersive equations of higher orders posed on bounded intervals
cites work: On the generalized Apostol-type Frobenius-Euler polynomials
cites work: The Kawahara equation on bounded intervals and on a half-line
cites work: Integrals of nonlinear equations of evolution and solitary waves
cites work: Finite amplitude side-band stability of a viscous film
cites work: Lax pairs and higher order models for water waves
cites work: Global well-posedness and asymptotic behavior of a class of initial-boundary-value problem of the Korteweg-de Vries equation on a finite domain
cites work: Quelques généralisations de l'équation de Korteweg-de Vries. II
cites work: Local and global existence of solutions of initial value problems of nonlinear Kaup-Kupershmidt equations
cites work: Approximate equations for long nonlinear waves on a viscous fluid
full work available at URL: s1995080221050048
OpenAlex ID: W3166035486
Recommended article: Odd-order quasilinear evolution equations posed on a bounded interval
Recommended article: Weak solutions to initial-boundary-value problems for quasilinear evolution equations of an odd order
Recommended article: Q3478814
Recommended article: THE CAUCHY PROBLEM FOR ODD-ORDER QUASILINEAR EQUATIONS
Recommended article: Q5458715
Recommended article: Discrete-continuous boundary value problems for quasi-differential equations of odd order
Recommended article: Q3741967
Recommended article: Boundary value problems for complete quasi-parabolic differential equations of odd order with variable domains of operators
Recommended article: Nonhomogeneous quasi-linear evolution equations in Banach spaces
Recommended article: Boundedness for solutions of general ordinary quasi-differential equations
description: scientific article; zbMATH DE number 7357838