Let a bounded open set, , and let ; in this paper we study the asymptotic behavior with respect to the time variable of the entropy solution of nonlinear parabolic problems whose model is
where , and is a measure with bounded variation over which does not charge the sets of zero -capacity; moreover we consider that does not depend on time. In particular, we prove that solutions of such problems converge to stationary solutions.
Submitted June 13, 2008. Published September 23, 2008.
Math Subject Classifications: 35B40, 35K55.
Key Words: Asymptotic behavior; nonlinear parabolic equations; measure data.
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| Francesco Petitta |
CMA, University of Oslo,
P.O. Box 1053 Blindern, NO-0316 Oslo, Norway
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