Non-existence of global solutions to nonlinear wave equations with positive initial energy
type: Item
instance of: scholarly article
title: Non-existence of global solutions to nonlinear wave equations with positive initial energy
zbMATH Open document ID: 1394.35053
author: Bilgesu A. Bilgin
author: V. K. Kalantarov
published in: Communications on Pure and Applied Analysis
publication date: 2018-08-22T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35L71
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 6923360
zbMATH Keywords: global non-existence
zbMATH Keywords: blow up
zbMATH Keywords: differential operator equation
zbMATH Keywords: concavity method
zbMATH Keywords: positive energy
MaRDI profile type: Publication
full work available at URL: cpaa.2018048
OpenAlex ID: W2784869718
cites work: Nonexistence of global solutions of the Cauchy problem for systems of Klein-Gordon equations with positive initial energy
cites work: Blow-up in Nonlinear Sobolev Type Equations
cites work: Nonlinear second order equations with applications to partial differential equations
cites work: Blow up of solutions to the initial boundary value problem for quasilinear strongly damped wave equations
cites work: Nonlinear initial-boundary value problems
cites work: Strongly damped wave problems: bootstrapping and regularity of solutions
cites work: Q4217277
cites work: Uniform estimates for solutions of nonlinear Klein-Gordon equations
cites work: Proof of extensions of two conjectures on structural damping for elastic systems
cites work: Global solutions and finite time blow up for damped semilinear wave equations
cites work: Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations
cites work: Blow-up and critical exponents for nonlinear hyperbolic equations
cites work: Q5669215
cites work: The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
cites work: Non-existence, instability, and growth theorems for solutions of a class of abstract nonlinear equations with applications to nonlinear elasto- dynamics
cites work: Blow-up of the solution of a nonlinear system of equations with positive energy
cites work: On blowup of solutions to a system of equations of ion sound waves in plasma
cites work: Nonexistence of global solutions to new ordinary differential inequality and applications to nonlineardispersive equations
cites work: The wave equation with semilinear Neumann boundary conditions
cites work: Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
cites work: Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
cites work: Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
cites work: Global existence and global nonexistence of solutions of the Cauchy problem for a nonlinearly damped wave equation
cites work: Q3732156
cites work: Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy
cites work: Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms
cites work: Existence, blow-up and exponential decay for a nonlinear Love equation associated with Dirichlet conditions.
cites work: Q4364061
cites work: Saddle points and instability of nonlinear hyperbolic equations
cites work: Existence, global nonexistence, and asymptotic behavior of solutionsfor the Cauchy problem of a multidimensional generalized damped Boussinesq-type equation
cites work: Global nonexistence for abstract evolution equations with positive initial energy
cites work: Further Global Nonexistence Theorems for Abstract Nonlinear Wave Equations
cites work: Explosive Instabilities in Mechanics
cites work: Q5182003
cites work: A sufficient condition for finite time blow up of the nonlinear Klein-Gordon equations with arbitrarily positive initial energy
cites work: A blow-up result for Kirchhoff-type equations with high energy
DOI: 10.3934/CPAA.2018048
description: scientific article; zbMATH DE number 6923360