| Title | UNIQUENESS FOR SOLUTIONS OF THE TWO PHASE STEFAN PROBLEM WITH SIGNED MEASURES AS DATA |
| Publication Type | Journal Article |
| Year of Publication | 2011 |
| Authors | KORTEN, MARIANNEK, MOORE, CHARLESN |
| Secondary Title | Communications in Applied Analysis |
| Volume | 15 |
| Issue | 1 |
| Start Page | 89 |
| Pagination | 100 |
| Date Published | 01/2011 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 35K55, 35K65, 80A22 |
| Abstract | We consider the two-phase Stefan problem u t = ∆α(u) where α(u) = u + 1 for u < −1, α(u) = 0 for −1 ≤ u ≤ 1, and α(u) = u − 1 for u > 1. We show uniqueness of solutions which have signed measures as initial data, that is, we show that if the difference of two solutions u and v defined on Rn × (0, T ) vanishes in a weak sense as t → 0 then u = v a.e.
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| URL | http://www.acadsol.eu/en/articles/15/1/7.pdf |
| Short Title | UNIQUENESS FOR THE TWO PHASE STEFAN PROBLEM |
| Refereed Designation | Refereed |
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