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On the blow-up of sign-changing solutions to semilinear parabolic equations

โœ Scribed by S. I. Pohozaev


Book ID
111455054
Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
149 KB
Volume
81
Category
Article
ISSN
1064-5624

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๐Ÿ“œ SIMILAR VOLUMES


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0 with the Dirichlet, Neumann, or periodic boundary condition. Here ) 0 is a ลฝ . parameter, and f is an odd function of u satisfying f ะˆ 0 ) 0 and some convexity ลฝ . w x condition. Let z U be the number of times of sign changes for U g C 0, 1 . It is ร„ 4 shown that there exists an increasing sequenc

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โœ D. Fayyad; N. Nassif ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 157 KB ๐Ÿ‘ 1 views

## Abstract Theoretical aspects related to the approximation of the semilinear parabolic equation: $u\_t=\Delta u+f(u)$\nopagenumbers\end, with a finite unknown โ€˜blowโ€upโ€™ time __T__~b~ have been studied in a previous work. Specifically, for __ฮต__ a small positive number, we have considered coupled