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Existence and uniqueness of weak solutions of the Cauchy problem for parabolic delay-differential equations

Published online by Cambridge University Press:  17 April 2009

S. Nababan  and
K.L. Teo
S. Nababan
Affiliation:
Department of Mathematics, Bandung Institute of Technology, Bandung, Indonesia;
K.L. Teo
Affiliation:
School of Mathematics, University of New South Wales, Kensington, New South Wales 2033, Australia.
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Abstract

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In this paper, a class of systems governed by second order linear parabolic partial delay-differential equations in “divergence form” with Cauchy conditions is considered. Existence and uniqueness of a weak solution is proved and its a priori estimate is established.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 21 , Issue 1 , February 1980 , pp. 65 - 80
Copyright
Copyright © Australian Mathematical Society 1980

References

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