EXISTENCE AND UNIQUENESS RESULTS FOR AN INITIAL-BOUNDARY VALUE PROBLEM OF PARABOLIC OPERATOR-DIFFERENTIAL EQUATIONS IN A WEIGHT SPACE

In this article, through the coefficients of the second order parabolic operator-differential equation, the regular solvability problem with initial-boundary conditions is proved in a weight space. The association between the lower bound of the spectrum of the self-adjoint operator in the main part...

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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics 2021-07, Vol.11 (3), p.628
Main Author: Ahmed, Abdel Baset I
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary value problems
Differential equations
Lower bounds
Partial differential equations
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Summary:In this article, through the coefficients of the second order parabolic operator-differential equation, the regular solvability problem with initial-boundary conditions is proved in a weight space. The association between the lower bound of the spectrum of the self-adjoint operator in the main part of the differential equation and the weight exponent is clearly provided. A mixed problem of a partial differential equation is introduced as an applied result of this article. Keywords: operator-differential equation, multiple characteristics, Hilbert space, regular solvability. AMS Subject Classification: 34k10, 34A12, 35J40, 34G10, 47D03.
ISSN:2146-1147
2146-1147