Existence and Nonexistence of Global Classical Solutions to Porous Medium and Plasma Equations with Singular Sources

Authors
Dai, Qiu Yi Peng, Li Hui
Citation
Dai, Qiu Yi et Peng, Li Hui, Existence and Nonexistence of Global Classical Solutions to Porous Medium and Plasma Equations with Singular Sources, Acta mathematica Sinica. English series (Print) , 22(2), 2006, pp. 485-496
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
22
Issue
2
Year of publication
2006
Pages
485 - 496
Database
ACNP
SICI code
Abstract
Let . be a bounded or unbounded domain in R n . The initial.boundary value problem for the porous medium and plasma equation with singular terms is considered in this paper. Criteria for the appearance of quenching phenomenon and the existence of global classical solution to the above problem are established. Also, the life span of the quenching solution is estimated or evaluated for some domains