Blow-up of solutions of a semilinear hyperbolic equation and a parabolic equation with general forcing term and boundary condition

DOI10.1016/J.NA.2006.12.010zbMath1113.35011OpenAlexW2063269572MaRDI QIDQ880278

Jian-Min Zhu

Publication date: 15 May 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.12.010

zbMATH Keywords

blow-upgeneral boundary conditionhyperbolicparabolicgeneral forcing term

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order nonlinear hyperbolic equations (35L70)

Related Items (1)

The Cauchy-Goursat problem for wave equations with nonlinear dissipative term

Cites Work

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• Abstract wave equations with a singular nonlinear forcing term
• Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
• Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficients
• On global solution of nonlinear hyperbolic equations
• Blow-up theorems for nonlinear wave equations
• On Solutions of Nonlinear Wave Equations
• The Quenching of Solutions of Linear Parabolic and Hyperbolic Equations with Nonlinear Boundary Conditions

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