Partial regularity of solutions
to a class of degenerate systems
Author: Xiangsheng Xu
Journal: Trans. Amer. Math. Soc. 349 (1997), 1973-1992
MSC (1991): Primary 35B65, 35K65
MathSciNet review: 1373648
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Abstract: We consider the system , in coupled with suitable initial-boundary conditions, where is a bounded domain in with smooth boundary and is a continuous and positive function of . Our main result is that under some conditions on there exists a relatively open subset of such that is locally Hölder continuous on , the interior of is empty, and is essentially bounded on .
Affiliation: Department of Mathematics and Statistics, Mississippi State University, Mississippi State, Mississippi 39762
Keywords: Partial regularity, degenerate systems
Received by editor(s): September 26, 1994
Received by editor(s) in revised form: November 27, 1995
Additional Notes: This work was supported in part by an NSF grant (DMS942448).
Article copyright: © Copyright 1997 American Mathematical Society