Boundary-Value Problem for a Loaded Hyperbolic-Parabolic Equation with Degeneracy of Order in the Hyperbolicity Domain

In this paper, we study a boundary-value problem for a loaded hyperbolic-parabolic equation with degeneracy of order in the domain of its hyperbolicity. The existence and uniqueness theorems for solutions of this problem are proved and a representation of solutions is obtained.

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 250; no. 5; pp. 830 - 834
Main Author Khubiev, K. U.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2020
Springer
Springer Nature B.V
Subjects
Boundary value problems
Domains
Existence theorems
Mathematical analysis
Mathematics
Mathematics and Statistics
Uniqueness theorems
mixed-type equation
hyperbolic equation
35M12
35M10
parabolic equation
boundary-value problem
loaded equation
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Summary:In this paper, we study a boundary-value problem for a loaded hyperbolic-parabolic equation with degeneracy of order in the domain of its hyperbolicity. The existence and uniqueness theorems for solutions of this problem are proved and a representation of solutions is obtained.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-05048-w