Tricomi problem for a mixed parabolic-hyperbolic equation in a rectangular domain
type: Item
instance of: scholarly article
title: Tricomi problem for a mixed parabolic-hyperbolic equation in a rectangular domain
zbMATH Open document ID: 1180.35377
DOI: 10.1134/S0001434609070268
author: K. B. Sabitov
published in: Mathematical Notes
publication date: 2009-10-27T00:00:00Z
review text: The author considers the equation of mixed parabolic-hyperbolic type with one spatial variable in the rectangular domain. The type changes at a certain time simultaneously in all points. The conjugation condition holds at a line where the type changes. The Tricomi problem (kind of a Dirichlet problem) with zero boundary conditions is posed in the rectangular (i.e. on the spatial segment during finite time). Using the spectral analysis, the author establishes an existence and uniqueness criterion for the solution to the problem. The case of infinite time is considered.
reviewed by: Ilya A. Chernov
Mathematics Subject Classification ID: 35M12
Mathematics Subject Classification ID: 35L35
zbMATH DE Number: 5621821
zbMATH Keywords: Tricomi problem
zbMATH Keywords: one spatial variable
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: existence and uniqeness
MaRDI profile type: Publication
cites work: Q5563628
cites work: Q4150095
cites work: Q3948050
cites work: Q3746169
cites work: Q3796096
cites work: Q3470917
cites work: Q3029461
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description: scientific article; zbMATH DE number 5621821