The Well Posedness in a Parabolic Multiple Free Boundary Problem

Authors

  • YoonMee Ham Department of Mathematics, Kyonggi University, Suwon, 442-760 Korea
  • Sang sup Yum Department of Mathematics, Seoul City University, Seoul 130-743, Korea

Keywords:

Evolution equation;free boundary problem;parabolic equation

Abstract

We consider a free boundary problem in a parabolic partial differential equation with multiple interfacial curves which is reduced to a reaction-diffusion equation. The forcing term of this problem is not continuously differentiable and thus we use Green's function to make a regular one. The existence, uniqueness and dependence. on initial conditions will be shown in this paper.

Downloads

Published

1995-08-01

Abstract View

  • 38616

Pdf View

  • 2674

Issue

Vol. 8 No. 3 (1995)

Section

Articles

How to Cite

The Well Posedness in a Parabolic Multiple Free Boundary Problem. (1995). Journal of Partial Differential Equations, 8(3), 211-218. https://global-sci.com/index.php/jpde/article/view/3796