Existence to nonlinear parabolic problems with unbounded weights

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cris.lastimport.scopus	2024-02-12T20:16:28Z
dc.abstract.en	We consider the weighted parabolic problem of the type ⎧⎨ ⎩ ut − div(ω2(x)\|∇u\|p−2∇u) = λω1(x)\|u\|p−2u, x ∈ , u(x, 0) = f (x), x ∈ , u(x, t) = 0, x ∈ ∂, t > 0, for quite a general class of possibly unbounded weights ω1, ω2 satisfying the Hardy-type inequality. We prove existence of a global weak solution in the weighted Sobolev spaces provided that λ > 0 is smaller than the optimal constant in the inequality. The domain is assumed to be bounded or quasibounded. The obtained solution is proven to belong to L p(R+;W1,p (ω1,ω2),0()) ∩ L∞ (R+; L2()).
dc.affiliation	Uniwersytet Warszawski
dc.contributor.author	Chlebicka, Iwona
dc.contributor.author	Zatorska-Goldstein, Anna
dc.date.accessioned	2024-01-25T00:07:02Z
dc.date.available	2024-01-25T00:07:02Z
dc.date.issued	2019
dc.description.finance	Nie dotyczy
dc.description.volume	19
dc.identifier.doi	10.1007/S00028-018-0465-Z
dc.identifier.issn	1424-3199
dc.identifier.uri	https://repozytorium.uw.edu.pl//handle/item/106716
dc.language	eng
dc.pbn.affiliation	mathemathics
dc.relation.ispartof	Journal of Evolution Equations
dc.relation.pages	1 - 19
dc.rights	ClosedAccess
dc.sciencecloud	nosend
dc.title	Existence to nonlinear parabolic problems with unbounded weights
dc.type	JournalArticle
dspace.entity.type	Publication