Global solutions to viscous hamilton-jacob1 equations with irregular initial data
作者:
Said Benachour,
Philippe LaurenÇot,
期刊:
Communications in Partial Differential Equations
(Taylor Available online 1999)
卷期:
Volume 24,
issue 11-12
页码: 1999-2021
ISSN:0360-5302
年代: 1999
DOI:10.1080/03605309908821492
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
We invcestigat, the existcnce and uniqueness of non-negative weak solutions towith initial data in the spacc of bounded and non-negative measures whenand inwhcnprovided that q is large enougli. Non-cxistc.ncc of solutions with Dirac masses as initial data is also shown whenWe finally study the large time behaviour of the L1-nor111 of t,he solutions to the Cauchy problem, thereby extending previous results to ii wider class of initial data. One main step in our approach is the derivation of drcay estimates of theL∞-norm of the gradient of
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