Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624017 | Journal of Mathematical Analysis and Applications | 2006 | 14 Pages |
Abstract
We proved recently that parabolic initial value problems with discontinuous nonlinearities have no unique weak solution in general, but have a unique generalized solution in the sense of Colombeau. In this paper we study the relationship between generalized solutions and weak solutions.
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