ENERGY ESTIMATES FOR A CLASS OF PSEUDO-HYPERBOLIC OPERATORS WITH VARIABLE COEFFICIENTS

A class of strictly pseudo-hyperbolic fourth-order operators with variable coefficients is considered. Energy estimates are established under certain conditions on the coefficients. These estimates imply the uniqueness of the solution to the Cauchy problem, as well as a priori estimates.

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Publication Details

Journal
Журнал вычислительной математики и математической физики
Published
2024-12-15
DOI
https://doi.org/10.31857/s0044466924080111
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

ENERGY ESTIMATES FOR A CLASS OF PSEUDO-HYPERBOLIC OPERATORS WITH VARIABLE COEFFICIENTS

Г. В. Демиденко
Журнал вычислительной математики и математической физики
Differential Equations and Boundary Problems
article

ENERGY ESTIMATES FOR A CLASS OF PSEUDO-HYPERBOLIC OPERATORS WITH VARIABLE COEFFICIENTS

Г. В. Демиденко
article en

Abstract

A class of strictly pseudo-hyperbolic fourth-order operators with variable coefficients is considered. Energy estimates are established under certain conditions on the coefficients. These estimates imply the uniqueness of the solution to the Cauchy problem, as well as a priori estimates.

Журнал вычислительной математики и математической физикиVol. 64(8)
Novosibirsk State University (RU)
Affordable and clean energy
Openalex Percentile: Top 60%
Differential Equations and Boundary Problems
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ENERGY ESTIMATES FOR A CLASS OF PSEUDO-HYPERBOLIC OPERATORS WITH VARIABLE COEFFICIENTS — Г. В. Демиденко · Журнал вычислительной математики и математической физики (2024) | TGRS Research Map | TGRS