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Existence and
geometry of a free boundary problem for the heat equation
Andrew French Acker and Kirk Lancaster |
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Vol. 148 (1991), No. 2, 207–224
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Abstract |
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A periodic (in t) free boundary problem for the one-dimensional heat equation is examined. The existence and regularity of the (unique) solution is established and the geometry of the free boundary is shown to be no more complicated than the geometry of the fixed boundary. |
Mathematical Subject Classification 2000
Primary: 35R35
Secondary: 35K05
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Milestones
Received: 12 October 1988
Published: 1 April 1991
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Authors |
| Andrew French Acker | |
| Kirk Lancaster | |
| Department of Mathematics,
Statistics, and Physics Wichita State University 344 Jabara Hall Campus Box 033 Wichita KS 67260-0033 United States |
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| http://kirk.math.wichita.edu/ | |
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