Publication Cover
Applicable Analysis
An International Journal
Volume 57, 1995 - Issue 3-4
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Original Articles

A stefan problem on a region and its boundary

Pages 367-381 | Received 05 May 1994, Published online: 02 May 2007
 

Abstract

This paper considers a system of equations consisting of a nonlinear evolution equation on an open set Ωin coupled to another nonlinear evolution equation on the boundary . Rather general assumptions are made concerning the operators involved and the coupling between the two problems. Existence and uniqueness are demonstrated via a semigroup of nonlinear operators on L1(Ω)XL1(GΩ).

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