The Cauchy problem for hyperbolic equations not resolved with respect to the highest time derivative

DOI10.1134/S1061920806030046zbMath1113.35134MaRDI QIDQ871775

N. E. Zubov

Publication date: 26 March 2007

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

solvability of the Cauchy problemstrictly pseudohyperbolic polynomials

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for higher-order hyperbolic equations (35L30) Pseudohyperbolic equations (35L82) Pseudodifferential operators (47G30)

Related Items (12)

Blow-up and global solvability of the Cauchy problem for a pseudohyperbolic equation related to the generalized Boussinesq equation ⋮ On well-posedness of the Cauchy problem for pseudohyperbolic equations in weighted Sobolev spaces ⋮ BOUNDARY VALUE PROBLEM IN A CYLINDER FOR A PSEUDOHYPERBOLIC EQUATION ⋮ The Reshetnyak formula and Natterer stability estimates in tensor tomography ⋮ Cauchy problem for one pseudohyperbolic system ⋮ Cauchy problem for the equation of torsional vibrations of a rod in a viscoelastic medium ⋮ The Vishik–Lyusternik method in the mixed problem for parabolic operators unresolved with respect to the highest time derivative ⋮ Hyperbolic and pseudo-hyperbolic equations in the theory of vibration ⋮ On solvability of the boundary value problem for one pseudohyperbolic equation ⋮ Solvability of the Cauchy problem for a pseudohyperbolic system ⋮ Solvability conditions of the Cauchy problem for pseudohyperbolic equations ⋮ Boundary value problems for one pseudohyperbolic equation in a quarter plane

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