A family of potential wells for a wave equation
type: Item
instance of: scholarly article
title: A family of potential wells for a wave equation
zbMATH Open document ID: 1442.35264
author: Yang Liu
author: Wen Ke Li
published in: Electronic Research Archive
publication date: 2020-07-14T00:00:00Z
Mathematics Subject Classification ID: 35L71
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 7220331
zbMATH Keywords: global existence
zbMATH Keywords: subcritical initial energy
zbMATH Keywords: critical initial energy
MaRDI profile type: Publication
full work available at URL: era.2020041
OpenAlex ID: W3010564493
cites work: Standing and travelling waves in a parabolic-hyperbolic system
cites work: Qualitative analysis of a nonlinear wave equation
cites work: Global solutions and finite time blow up for damped semilinear wave equations
cites work: Some remarks on the wave equations with nonlinear damping and source terms
cites work: The method of energy channels for nonlinear wave equations
cites work: Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
cites work: Q5890172
cites work: On potential wells and vacuum isolating of solutions for semilinear wave equations
cites work: Global existence for semilinear damped wave equations in relation with the Strauss conjecture
cites work: Wave equations and reaction-diffusion equations with several nonlinear source terms of different sign
cites work: Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation
cites work: On potential wells and applications to semilinear hyperbolic equations and parabolic equations
cites work: Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations
cites work: Saddle points and instability of nonlinear hyperbolic equations
cites work: On global solution of nonlinear hyperbolic equations
cites work: Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
cites work: Global solution for a generalized Boussinesq equation
cites work: Q4636924
cites work: Global well-posedness of coupled parabolic systems
cites work: Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
cites work: Global existence and asymptotic behaviour of solutions for a class of fourth order strongly damped nonlinear wave equations
cites work: The initial-boundary value problems for a class of sixth order nonlinear wave equation
DOI: 10.3934/ERA.2020041
description: scientific article; zbMATH DE number 7220331