Global existence and blow-up of solutions for a Kirchhoff type plate equation with damping
type: Item
instance of: scholarly article
title: Global existence and blow-up of solutions for a Kirchhoff type plate equation with damping
zbMATH Open document ID: 1410.35237
author: Jun Zhou
published in: Applied Mathematics and Computation
publication date: 2018-08-24T00:00:00Z
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 35L75
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35L35
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 6925043
zbMATH Keywords: Kirchhoff type plate equation
zbMATH Keywords: blow-up
zbMATH Keywords: lifespan
zbMATH Keywords: global existence
zbMATH Keywords: decay
MaRDI profile type: Publication
full work available at URL: j.amc.2015.05.098
OpenAlex ID: W612025338
cites work: Q4073917
cites work: Q4254461
cites work: Systems of nonlinear wave equations with damping and source terms.
cites work: Q3431926
cites work: Initial-boundary value problems for an extensible beam
cites work: Decay estimates for the generalized damped extensible string and beam equations
cites work: Remark on the decay for damped string and beam equations
cites work: Nonexistence of global solutions of some quasilinear hyperbolic equations
cites work: Global nonexistence for a semilinear Petrovsky equation
cites work: GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION
cites work: Free vibrations and dynamic buckling of the extensible beam
cites work: Nonlinear vibration of beams and rectangular plates
cites work: Nonexistence of global solutions to a class of nonlinear wave equations with dynamic boundary conditions
cites work: Nonexistence of Global Solutions of Some Quasilinear Hyperbolic Equations with Dynamic Boundary Conditions
cites work: On a global solution and asymptotic behaviour for the generalized damped extensible beam equation
cites work: Existence and nonexistence of global solutions of some system of semilinear wave equations
cites work: A difference inequality and its application to nonlinear evolution equations
cites work: Abstract non linear wave equations
cites work: Q4191141
cites work: Q5531717
cites work: Q4133218
cites work: Q4344324
cites work: On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms
cites work: Global existence and nonexistence in a system of Petrovsky
cites work: Q4804426
cites work: On a mixed problem for a class of nonlinear Klein-Gordon equations
cites work: Non-Linear vibration of an elastic string
cites work: On global existence, asymptotic stability and blowing up of solutions for some degenerate nonlinear wave equations of Kirchhoff type with a strong dissipation
cites work: On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation
cites work: Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
cites work: Q5794184
cites work: On global solutions and blow-up of solutions for a nonlinearly damped Petrovsky system
cites work: Existence and nonexistence of global solutions for a nonlinear wave equation
cites work: Q3182240
cites work: On the strongly damped wave equation with nonlinear damping and source terms
cites work: Q3996436
cites work: Q3179106
cites work: Estimate on the dimension of global attractor for nonlinear dissipative Kirchhoff equation
cites work: Existence and asymptotic behavior of solutions to generalized Kirchhoff equation
cites work: On Solvability and Stabilization of a Class of Hyperbolic Hemivariational Inequalities in Elasticity
cites work: The lifespan for 3D quasilinear wave equations with nonlinear damping terms
DOI: 10.1016/J.AMC.2015.05.098
description: scientific article; zbMATH DE number 6925043