[BOOK][B] Smoothing and decay estimates for nonlinear diffusion equations: equations of porous medium type

JL Vázquez - 2006 - books.google.com
This text is concerned with the quantitative aspects of the theory of nonlinear diffusion
equations; equations which can be seen as nonlinear variations of the classical heat …

Radon measure-valued solutions for a class of quasilinear parabolic equations

MM Porzio, F Smarrazzo, A Tesei - Archive For Rational Mechanics and …, 2013 - Springer
Initial value problems for quasilinear parabolic equations having Radon measures as initial
data have been widely investigated, looking for solutions which for positive times take …

The pressure equation in the fast diffusion range

E Chasseigne, JL Vázquez - 2003 - ems.press
We consider the following degenerate parabolic equation vt= v∆ v− γ|∇ v| 2 in RN×(0,∞),
whose behaviour depends strongly on the parameter γ. While the range γ< 0 is well …

Radial equivalence and study of self-similarity for two very fast diffusion equations

RG Iagar, A Sánchez - Journal of mathematical analysis and applications, 2009 - Elsevier
In this paper we continue the study of the radial equivalence between the porous medium
equation and the evolution p-Laplacian equation, begun in a previous work. We treat the …