Problems paraboliques semi-lineaires avec donnees measures
- 1 September 1984
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 18 (1) , 111-149
- https://doi.org/10.1080/00036818408839514
Abstract
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.Keywords
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