The semilinear heat equation with a Heaviside source term-Reference-Cited by-同舟云学术

The semilinear heat equation with a Heaviside source term

Published:1992-12 Issue:4 Volume:3 Page:367-379
ISSN:0956-7925
Container-title:European Journal of Applied Mathematics
language:en
Short-container-title:Eur. J. Appl. Math

Author:

Gianni Roberto,Hulshof Josephus

Abstract

We consider the initial value problem for the equation ut = uxx + H(u), where H is the Heaviside graph, on a bounded interval with Dirichlet boundary conditions, and discuss existence, regularity and uniqueness of solutions and interfaces.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

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