Cauchy Problem of Some Doubly Degenerate Parabolic Equations with Initial Datum a Measure

Authors
Fan, Hui Jun
Citation
Fan, Hui Jun, Cauchy Problem of Some Doubly Degenerate Parabolic Equations with Initial Datum a Measure, Acta mathematica Sinica. English series (Print) , 20(4), 2004, pp. 663-682
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
20
Issue
4
Year of publication
2004
Pages
663 - 682
Database
ACNP
SICI code
Abstract
This paper discusses the Cauchy problem of the equation ut=(||mup2mu)uq (1) with initial datum a measure. Under the assumption of the parameters, one proves the existence and non-existence of the non-negative generalized solution.