On the global existence of solutions of parabolic differential equations with a singular nonlinear term

DOI10.1016/0362-546X(78)90057-3zbMath0378.35003OpenAlexW2017749260MaRDI QIDQ4157470

Andrew Acker, Wolfgang Walter

Publication date: 1978

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(78)90057-3

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (15)

Quenching for degenerate parabolic equations ⋮ Quenching for coupled semilinear reaction-diffusion problems ⋮ THE QUENCHING OF SOLUTIONS OF A REACTION–DIFFUSION EQUATION WITH FREE BOUNDARIES ⋮ Quenching phenomena for singular nonlinear parabolic equations ⋮ Existence and behavior of positive solutions for a class of parabolic reaction-diffusion equations ⋮ Existence of solutions of quenching problems ⋮ Hyperbolic quenching problem with damping in the micro-electro mechanical system device ⋮ The behavior of a finite difference approximation to a singular initial boundary value problem ⋮ Numerical method of lines for evolution functional differential equations ⋮ Positive global solutions of nonlocal boundary value problems for the nonlinear convection reaction-diffusion equations ⋮ Asymptotic analysis of quenching problems ⋮ Method of lines for quasilinear functional differential equations ⋮ Remarks on quenching ⋮ Quenching, nonquenching, and beyond quenching for solution of some parabolic equations ⋮ Existence results of steady-states of semilinear reaction-diffusion equations and their applications

Cites Work

• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
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