On an inhomogeneous problem for parabolic-hyperbolic equation

We study a boundary value problem for an inhomogeneous parabolic-hyperbolic equation with a noncharacteristic type change line. Boundary conditions of the first kind are posed on characteristics in the parabolic and hyperbolic parts of the domain where the equation is given, and a condition of the t...

Full description

Saved in:
Bibliographic Details
Published inDifferential equations Vol. 52; no. 10; pp. 1371 - 1373
Main Author Gulyaev, D. A.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.10.2016
Springer Nature B.V
Subjects
Boundary conditions
Boundary value problems
Difference and Functional Equations
Differential equations
Mathematical models
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Short Communications
Studies
Theorems
Online AccessGet full text

Cover

More Information
Summary:We study a boundary value problem for an inhomogeneous parabolic-hyperbolic equation with a noncharacteristic type change line. Boundary conditions of the first kind are posed on characteristics in the parabolic and hyperbolic parts of the domain where the equation is given, and a condition of the third kind is posed on the noncharacteristic part of the boundary in the parabolic part. First, we study the solvability of an inhomogeneous initial–boundary value problem for a parabolic equation.
ISSN:0012-2661
1608-3083
DOI:10.1134/S001226611610013X