Energy estimates for one class of pseudohyperbolic operators with variable coefficients

DOI10.1134/S0965542524700805MaRDI QIDQ6634016

G. V. Demidenko

Publication date: 6 November 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

energy estimatesweighted Sobolev spacesequations unsolved with respect to highest-order derivativepseudohyperbolic operators

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Pseudohyperbolic equations (35L82)

Cites Work

• 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 well-posedness of the Cauchy problem for pseudohyperbolic equations in weighted Sobolev spaces
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