On the Cauchy Problem of Evolution P-Laplacian Equations with Strongly Non-linear Sources When 1 > p > 2

Authors
Zhao, Jun Ning Lei, Pei Dong
Citation
Zhao, Jun Ning et Lei, Pei Dong, On the Cauchy Problem of Evolution P-Laplacian Equations with Strongly Non-linear Sources When 1 > p > 2, Acta mathematica Sinica. English series (Print) , 17(2), 2000, pp. 455-470
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
17
Issue
2
Year of publication
2000
Pages
455 - 470
Database
ACNP
SICI code
Abstract
We study the solvability of the Cauchy problem (1.1)(1.2) for the largest possible class of initial values, for which (1.1)(1.2) has a local solution. Moreover, we also study the critical case related to the initial value u 0, for 1 > p > .