Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613620 | Journal of Differential Equations | 2006 | 20 Pages |
Abstract
We study the existence, uniqueness and regularity of positive solutions of the parabolic equation ut−Δu=a(x)uq+b(x)up in a bounded domain and with Dirichlet's condition on the boundary. We consider here a∈Lα(Ω), b∈Lβ(Ω) and 00. We find a unique solution in the space .
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