Global Existence in a General Stefan-like Problem

Knabner P (1986)

Publication Language: English

Publication Type: Journal article

Publication year: 1986

Journal

Journal of Mathematical Analysis and Applications Elsevier

Pages Range: 543-559

Journal Issue: 115

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_1986/1986_Kn_GlobalExistInAGenStefanLikeProblm

Open Access Link: https://core.ac.uk/download/pdf/82198033.pdf

Abstract

We consider a one-dimensional two-phase Stefan-like free boundary problem for the heat equation with nonlinear Neumann boundary conditions. Local existence has been shown in [8], furthermore it is clear that cases exist, where global existence fails. The question arises, under which conditions the solution exists globally. In this paper it is shown that especially the natural sign conditions are suf- ficient for global existence

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

How to cite

APA:

Knabner, P. (1986). Global Existence in a General Stefan-like Problem. Journal of Mathematical Analysis and Applications, 115, 543-559.

MLA:

Knabner, Peter. "Global Existence in a General Stefan-like Problem." Journal of Mathematical Analysis and Applications 115 (1986): 543-559.

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