http://hdl.handle.net/20.500.12128/15971
Tytuł: | Singular limit in a parabolic equation |
Autor: | Dłotko, Tomasz |
Słowa kluczowe: | parabolic equation; boundary conditions |
Data wydania: | 1993 |
Źródło: | Demonstratio Mathematica, Vol. 26, nr 2 (1993) s. 473-481 |
Abstrakt: | Our aim here is to study the singular limit, when e —• 0, in a parabolic problem ' ut = s2Au +f(t,u), x € Í2 C Rn, f > 0, (1) u(0,x) = t¿o(a;) for x £ Í2, Bu = 0 for x e dQ, with a bounded smooth domain Q, £ > 0 and the boundary operator B of either the Dirichlet type (B = Id) or the Neumann type (B = n is the normal vector to dQ). We want to estimate the difference between u and the solution y — y(t,x) of the limit problem (2) ÍVt = f(t,y), t> 0, \»(0,a:) = «o(a), x £ Í2, the central interest being estimates on bounded time interval [0,T]. The problem of long time behaviour (when t —> oo) of a pair u, y has been considered previously, e.g. in [4, 7] (Fragment tekstu). |
URI: | http://hdl.handle.net/20.500.12128/15971 |
DOI: | 10.1515/dema-1993-0218 |
ISSN: | 2391-4661 0420-1213 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
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Dlotko_Singular_limit_in_a_parabolic.pdf | 958,82 kB | Adobe PDF | Przejrzyj / Otwórz |
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