An Operator Formula for the Shift of the Solution of the Cauchy Problem for an abstract Euler-Poisson-Darboux Equation

We establish an operator formula for the shift of a solution in the case where the summand in the Euler-Poisson-Darboux equation containing the first derivative of the solution is perturbed by a group generator.

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Bibliographic Details
Published in:Mathematical Notes 2019-05, Vol.105 (5-6), p.649-656
Main Author: Glushak, A. V.
Format: Article
Language:English
Subjects:
Cauchy problems
Formulas (mathematics)
Mathematics
Mathematics and Statistics
Operators (mathematics)
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Description
Summary:We establish an operator formula for the shift of a solution in the case where the summand in the Euler-Poisson-Darboux equation containing the first derivative of the solution is perturbed by a group generator.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S000143461905002X