The first boundary value problem with deviation from the characteristics for a second-order parabolic-hyperbolic equation

Authors

  • Zh.A. Balkizov

DOI:

https://doi.org/10.31489/2018m2/34-42

Keywords:

equation of mixed parabolic-hyperbolic type, the first boundary value problem, , a priori estimate of the solution

Abstract

We pose and investigate the first boundary value problem using a model second order equation of parabolic - hyperbolic type with A.M. Nakhushev’s conditions violated relative to coefficients. Despite these conditions are violated an a priori estimate similar to the a priori estimate obtained by A.M. Nakhushev takes place for solving the first boundary - value problem under study.

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Published

2018-06-30

How to Cite

Balkizov, Z. (2018). The first boundary value problem with deviation from the characteristics for a second-order parabolic-hyperbolic equation. Bulletin of the Karaganda University. Mathematics Series, 90(2), 34–42. https://doi.org/10.31489/2018m2/34-42

Issue

2018 (90) 2

Section

MATHEMATICS