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Singularity and Decay Estimates for a Degenerate Parabolic Equation
oleh: Dongyan Li
| Format: | Article |
|---|---|
| Diterbitkan: | Hindawi-Wiley 2021-01-01 |
Deskripsi
In this paper, a degenerate parabolic equation ut−divxθ∇u=xaup with p>1 and θ<2,a∈ℝ, is considered. Based on rescaling arguments combined with a doubling property, the space-time singularity and decay estimates are established. Moreover, a universal and a priori bound of global nonnegative solutions for the corresponding initial boundary value problem is derived.