Non-Newton Filtration Equation with Nonconstant Medium Void and Critical Sobolev Exponent

Authors
Tan, Zhong Liu, Xian Gao
Citation
Tan, Zhong et Liu, Xian Gao, Non-Newton Filtration Equation with Nonconstant Medium Void and Critical Sobolev Exponent, Acta mathematica Sinica. English series (Print) , 20(2), 2004, pp. 367-378
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
20
Issue
2
Year of publication
2004
Pages
367 - 378
Database
ACNP
SICI code
Abstract
In this paper we consider the existence and asymptotic estimates of global solutions and finite time blowup of local solutions of quasilinear parabolic equation with critical Sobolev exponent and with lower energy initial value; we also describe the asymptotic behavior of global solutions with high energy initial value.