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Rate of decay to equilibrium in some semilinear parabolic equations

✍ Scribed by Alain Haraux; Mohamed Ali Jendoubi; Otared Kavian


Publisher
Springer
Year
2003
Tongue
English
Weight
210 KB
Volume
3
Category
Article
ISSN
1424-3199

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πŸ“œ SIMILAR VOLUMES


Stability for semilinear parabolic equat
✍ Philippe Souplet; Qi S. Zhang πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 163 KB

with 1 < p < n+2 n-2 , n 2, and 0 V (x) ∈ L ∞ , which may decay to 0 at infinity. We prove that if V is radial and satisfies then (1) admits a (ground state) positive solution. We do not use traditional variational methods and the result relies on the study of global solutions of the parabolic prob