On the Cauchy problem of evolution p-Laplacian equations with strongly non-linear sources when 1 < p < 2

Authors
Citation
Jn. Zhao et Pd. Lei, On the Cauchy problem of evolution p-Laplacian equations with strongly non-linear sources when 1 < p < 2, ACTA MATH S, 17(3), 2001, pp. 455-470
Citations number
8
Categorie Soggetti
Mathematics
Journal title
ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN journal
10009574 → ACNP
Volume
17
Issue
3
Year of publication
2001
Pages
455 - 470
Database
ISI
SICI code
1000-9574(200107)17:3<455:OTCPOE>2.0.ZU;2-D
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 solutio n. Moreover, we also study the critical case related to the initial value u (0), for 1 < p < infinity.