CONTINUOUS DEPENDENCE RESULTS FOR PARABOLIC PROBLEMS WITH TIME-DEPENDENT COEFFICIENTS
作者:
F.D. Penning,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1991)
卷期:
Volume 14,
issue 1
页码: 33-49
ISSN:1607-3606
年代: 1991
DOI:10.1080/16073606.1991.9631621
出版商: Taylor & Francis Group
关键词: 35B;35K
数据来源: Taylor
摘要:
We prove continuous dependence results for parabolic problems in which the coefficients and boundary conditions depend on both space and time. Using semi-groups and fundamental solutions, together with a priori estimates for elliptic boundary value problems, we obtain continuous dependence results with respect to changes in the coefficients of the differential and boundary operators, as well as in the initial conditions.
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