The semilinear heat equation with a Heaviside source term

DOI10.1017/S0956792500000917zbMath0789.35088MaRDI QIDQ5286159

Roberto Gianni, Josephus Hulshof

Publication date: 29 June 1993

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

existenceinterfacessemilinear parabolic equationsemilinear heat equationregularity and uniquenessHeaviside graphHeaviside source term

Mathematics Subject Classification ID

Related Items (13)

An unstable elliptic free boundary problem arising in solid combustion ⋮ Existence of the free boundary in a multi-dimensional combustion problem ⋮ Numerical Approximation of a Variational Inequality Related to the Humid Atmosphere ⋮ The equations of the atmosphere with humidity and saturation: uniqueness and physical bounds ⋮ On the exact number of monotone solutions of a simplified Budyko climate model and their different stability ⋮ Stability results for discontinuous nonlinear elliptic and parabolic problems with a S-shaped bifurcation branch of stationary solutions ⋮ A Free Boundary Focusing Problem ⋮ Instabilities in a combustion model with two free interfaces ⋮ Formulation of the equations of the humid atmosphere in the context of variational inequalities ⋮ Lagrangian approach to the study of level sets. II: A quasilinear equation in climatology ⋮ On maximum and comparison principles for parabolic problems with the \(p\)-Laplacian ⋮ Lagrangian approach to the study of level sets: Application to a free boundary problem in climatology ⋮ Multiple stationary solutions of parabolic problem with discontinuous nonlinearities and their stability

Cites Work

• A Cauchy problem for $u_t - \Delta u = u^p \ \hbox{with}\ 0 < p < 1$. Asymptotic behaviour of solutions
• Regularity Results for an Elliptic-Parabolic Free Boundary Problem
• An elliptic-parabolic free boundary problem: continuity of the interface
• Combustion in a Porous Medium
• The Spatial Dependence of Supercritical Reacting Systems
• A MODEL FOR POROUS-MEDIUM COMBUSTION
• Parabolic Free Boundary Problems Arising in Porous Medium Combustion

This page was built for publication: The semilinear heat equation with a Heaviside source term