A system of singular quasilinear parabolic equations
✍ Scribed by Xiangsheng Xu
- Book ID
- 107967511
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 893 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
In this paper we study the critical exponents of the Cauchy problem in R n of the quasilinear singular parabolic equations: u t = div ∇u m-1 ∇u + t s x σ u p , with non-negative initial data. Here s ≥ 0 n -1 / n + 1 < m < 1 p > 1 and σ > n 1 -m -1 + m + 2s . We prove that p c ≡ m + 1 + m + 2s + σ /n
## Abstract We consider a hyperbolic–parabolic singular perturbation problem for a quasilinear hyperbolic equation of Kirchhoff type with dissipation weak in time. The purpose of this paper is to give time‐decay convergence estimates of the difference between the solutions of the hyperbolic equatio