Existence of solutions of quenching problems
- 1 January 1987
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 24 (4) , 253-264
- https://doi.org/10.1080/00036818708839668
Abstract
We find continuous nonnegative solutions of the equation Δu - ut = u-pX({u>0}) when 0n and the initial value-Dirichlet problem on bounded domains. The motivation for this work comes from reaction diffusion models, Δu - ut − f(∊,u), where for , is smooth and . Such a limiting process is used here.
Keywords
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