Solvability of the Cauchy problem for a pseudohyperbolic system

DOI10.1080/17476933.2020.1829606zbMath1467.35222OpenAlexW3159673580MaRDI QIDQ4994467

Lina Nikolaevna Bondar, Gennadii V. Demidenko

Publication date: 18 June 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1829606

zbMATH Keywords

Sobolev spaceCauchy problemenergy estimatepseudohyperbolic system

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Pseudohyperbolic equations (35L82) Initial value problems for higher-order hyperbolic systems (35L56)

Cites Work

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• Solvability conditions of the Cauchy problem for pseudohyperbolic equations
• Hyperbolic and pseudo-hyperbolic equations in the theory of vibration
• The Cauchy problem for hyperbolic equations not resolved with respect to the highest time derivative
• On quasielliptic operators in \(\mathbb{R}_n\)
• On solvability of the Cauchy problem for pseudohyperbolic equations
• Cauchy problem for one pseudohyperbolic system

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