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An Initial Boundary Value Problem for Parabolic Differential-Operator Equations

โœ Scribed by Sasun Yakubov

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
143 KB
Volume
239
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

In this paper we give, for the first time, an abstract interpretation of such initial boundary value problems for parabolic equations that a part of boundary value conditions contains also a differentiation on the time t. Initial boundary value problems for parabolic equations are reduced to the Cauchy problem for a system w ลฝ . ลฝ .x of parabolic differential-equations see below problems 1 แŽ 3 . A solution of this system is not a vector-function but one function. At the same time, the system is not overdetermined.

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