Degenerate parabolic equation with critical exponent derived from the kinetic theory: I: Generation of the weak solution
type: Item
instance of: scholarly article
title: Degenerate parabolic equation with critical exponent derived from the kinetic theory: I: Generation of the weak solution
zbMATH Open document ID: 1213.35077
author: Takashi Suzuki
author: Ryo Takahashi
published in: Advances in Differential Equations
publication date: 2009-06-30T00:00:00Z
review text: The blowup mechanism of the solution to a degenerate parabolic equation with the space dimension greater than 2 is under consideration. The main result of this paper is the theorem about essence a weak solution of the equation \[ u_t = \frac{m-1}{m}\Delta u^m - \nabla\cdot (u\nabla\Gamma * u ), \quad u\geq 0\quad\text{in }\mathbb R^n\times (0, T). \]
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35K59
zbMATH DE Number: 5572585
zbMATH Keywords: degenerate parabolic equation
zbMATH Keywords: blowup solution
zbMATH Keywords: weak solution
reviewed by: Georgiĭ Anatol'evich Sviridyuk
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5572585