Fundamental Solution of the Anisotropic Porous Medium Equation

Authors
Song, Bin Heng Jian, Huai Yu
Citation
Song, Bin Heng et Jian, Huai Yu, Fundamental Solution of the Anisotropic Porous Medium Equation, Acta mathematica Sinica. English series (Print) , 21(5), 2005, pp. 1183-1190
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
21
Issue
5
Year of publication
2005
Pages
1183 - 1190
Database
ACNP
SICI code
Abstract
We establish the existence of fundamental solutions for the anisotropic porous medium equation, ut=.ni=1(umi)xixi in .n . (0,.), where m 1,m 2, . . . , and m n are positive constants satisfying min1.i.n{mi}.1,.ni=1mi>n.2, and max1.i.n{mi}.1n(2+.ni=1mi).