On a Priori Estimates of Solutions of the Tricomi Problem for a Certain Mixed-Type Second-Order Equation

In this paper, a theorem on a priori estimates of solutions of the Tricomi problem for a second-order, mixed-type equation with the Gellerstedt operator in the hyperbolicity domain is proved. The a priori estimate obtained implies the uniqueness of the regular solution of the problem considered.

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 260; no. 3; pp. 286 - 293
Main Author Balkizov, G. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.01.2022
Springer
Springer Nature B.V
Subjects
Estimates
Mathematics
Mathematics and Statistics
mixed-type equation
Tricomi problem
Poisson equation
35M13
Gellerstedt equation
35M10
a priori estimate
Cauchy problem
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Summary:In this paper, a theorem on a priori estimates of solutions of the Tricomi problem for a second-order, mixed-type equation with the Gellerstedt operator in the hyperbolicity domain is proved. The a priori estimate obtained implies the uniqueness of the regular solution of the problem considered.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05692-4