On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms

Lina N. Bondar and Gennadii V. Demidenko ()
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Lina N. Bondar: Laboratory of Differential and Difference Equations, Sobolev Institute of Mathematics, 4, Acad. Koptyug Avenue, 630090 Novosibirsk, Russia
Gennadii V. Demidenko: Laboratory of Differential and Difference Equations, Sobolev Institute of Mathematics, 4, Acad. Koptyug Avenue, 630090 Novosibirsk, Russia

Mathematics, 2023, vol. 11, issue 18, 1-16

Abstract: We consider a class of strictly pseudohyperbolic equations with lower order terms. The solvability of the Cauchy problem in Sobolev spaces with special weights is established. The uniqueness of the solution is proven and estimates are obtained.

Keywords: Sobolev-type equations; pseudohyperbolic equations; weighted Sobolev spaces; energy estimate (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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