http://hdl.handle.net/20.500.12128/15923
Title: | An Lp approach to a parabolic problem with blowing up solutions |
Authors: | Dłotko, Tomasz |
Keywords: | nonlinear parabol; differential equations |
Issue Date: | 1989 |
Citation: | Demonstratio Mathematica, Vol. 22, nr 4 (1989) s. 1169-1182 |
Abstract: | We want to examine the simple exemplary nonlinear parabol i c equation (1) ut = A u + A | a | q ~ 1 c i t A>0, q> 1, considered with the Dirichlet or Neumann type boundary condit i o n s : (2) u(0,x) = ^ ( x ) , xeftcR0, ( 3 ' ) u(t,x) = 0 for x e 3ft, or (3") =0 for x e 9 f t , where £ i s a bounded smooth (8fteC^+^ with some |5 e ( 0 , l ) ) domain, t » 0 and n denotes the inward normal vector to 3ft (Fragment tekstu). |
URI: | http://hdl.handle.net/20.500.12128/15923 |
DOI: | 10.1515/dema-1989-0421 |
ISSN: | 2391-4661 0420-1213 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
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Dłotko_An_Lp_approach.pdf | 938,08 kB | Adobe PDF | View/Open |
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