Delta-problems for the generalized Euler-Darboux equation

Degenerate hyperbolic equations are dealing with many important issues for applied nature. While a variety of degenerate equations and boundary conditions, successfully matched to these differential equation, most in the characteristic coordinates reduced to Euler-Darboux one. Some boundary value pr...

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Bibliographic Details
Published inarXiv.org
Main Authors Rodionova, I N, Dolgopolov, V M, Dolgopolov, M V
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 06.01.2018
Subjects
Boundary conditions
Boundary value problems
Cauchy problems
Differential equations
Mathematical analysis
Mathematics - Analysis of PDEs
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Summary:Degenerate hyperbolic equations are dealing with many important issues for applied nature. While a variety of degenerate equations and boundary conditions, successfully matched to these differential equation, most in the characteristic coordinates reduced to Euler-Darboux one. Some boundary value problems, in particular Cauchy problem, for the specified equation demanded the introduction of special classes in which formulae are simple and can be used to meet the new challenges, including Delta-problems in squares that contain singularity line for equation coefficients with data on adjacent or parallel sides of the square. In this short communication the generalized Euler-Darboux equation with negative parameters in the rectangular region is considered.
ISSN:2331-8422
DOI:10.48550/arxiv.1801.02083