论文信息 - Problems paraboliques semi-lineaires avec donnees measures

Problems paraboliques semi-lineaires avec donnees measures

We study semilinear evolution equation of the type : where f and ν are given measures on ]o,T[ x ω and ω respectively, ω being a bounded open subset of IRN . We showthat (P) has a solution if and only if f and ν are not to much "concentrated" and do not charge too thin sets : the precise content of the statement involves capacities associated with suitable Sobolev's spaces. The question of removability of singularities for (P) is also completely solved.

Michel Pierre | Pierre Baras | M. Pierre | P. Baras

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