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

DOI10.1134/S0037446623050026zbMath1523.35227MaRDI QIDQ6046794

Gennadii V. Demidenko, Lina Nikolaevna Bondar

Publication date: 6 October 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

energy estimatepseudohyperbolic equations

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Pseudohyperbolic equations (35L82) Higher-order hyperbolic equations (35L25)

Cites Work

• Solvability conditions of the Cauchy problem for pseudohyperbolic equations
• The Cauchy problem for hyperbolic equations not resolved with respect to the highest time derivative
• On quasielliptic operators in \(\mathbb{R}_n\)
• On the representation of functions defined by a class of hypoelliptic operators
• Linear Sobolev type equations and degenerate semigroups of operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On well-posedness of the Cauchy problem for pseudohyperbolic equations in weighted Sobolev spaces