DC pole | Wartość | Język |
dc.contributor.author | Dawidowski, Łukasz | - |
dc.date.accessioned | 2018-06-26T05:52:28Z | - |
dc.date.available | 2018-06-26T05:52:28Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Annales Mathematicae Silesianae, Nr 29 (2015), s. 51-59 | pl_PL |
dc.identifier.issn | 0860-2107 | - |
dc.identifier.issn | 2391-4238 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.12128/4928 | - |
dc.description.abstract | he author considers, in an abstract setting, a semilinear evolutionary equation of the form
ut+Au=F(u), where A:D(A)⊂X→X is a positive sectorial operator on a Banach space X and F satisfies a suitable local Lipschitz condition. He studies the regularity of solutions when the equation is settled in the scale of Banach spaces Xα=D(Aα). In particular, he focuses on the case when F is a power function. The general results are illustrated by a number of specific applications. | pl_PL |
dc.language.iso | en | pl_PL |
dc.rights | Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/pl/ | * |
dc.subject | Scale of Banach spaces | pl_PL |
dc.subject | Parabolic equations | pl_PL |
dc.title | An application of the theory of scale of Banach spaces | pl_PL |
dc.type | info:eu-repo/semantics/article | pl_PL |
dc.identifier.doi | 10.1515/amsil-2015-0005 | - |
Pojawia się w kolekcji: | Artykuły (WNŚiT)
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