The carleman system with positive measures as initial data-generalized solutions
作者:
M. Oberguggenberger,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 1991)
卷期:
Volume 20,
issue 2-3
页码: 177-197
ISSN:0041-1450
年代: 1991
DOI:10.1080/00411459108203901
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In this article we demonstrate that Colombeau's theory of generalized functions is suitable for studying the Carleman system with singular initial data. We obtain existence, unïqueness, and continuous dependence of a generalized solution, given arbitrary positive measures as initial data. The results are based on the theory of nonnegative, locally bounded solutions to the Carleman system. An explicit solution with initial data Dirac masses is discussed.
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