Stability analysis of asymptotic profiles for sign-changing solutions to fast diffusion equations
โ Scribed by Goro Akagi, Ryuji Kajikiya
- Book ID
- 120759539
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 379 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0025-2611
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๐ SIMILAR VOLUMES
We consider the initial-boundary value problem of some semi-linear parabolic equations with superlinear and subcritical nonlinear terms. In this paper, we consider global solutions, which could be sign changing, and estimate the dependence of upper bounds of global solutions on some norm of the init
## Communicated by D. Serre Abstract--The asymptotic stability of shock profiles is proved for a nonconvex convectiondiffusion equation by using weighted energy estimates for the integrated equation. The key of our proofs is to employ a weight function depending on the shock profile in energy esti
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 ะ 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