Singularity and Decay Estimates for a Degenerate Parabolic Equation. (11th March 2021)

• Record Type: Journal Article
• Authors: Li, Dongyan
• Other Names: Liu Heng Academic Editor.
• Is Part Of: Complexity. Volume 2021(2021)
• Publication Date: 2021-03-11
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2021/5517008
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this paper, a degenerate parabolic equation u t − div x θ ∇ u = x a u p 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.