Estimates of solutions to the Cauchy problem for an uniformly strictly pseudohyperbolic equation

Nurmakhmatov V. S.

0009-0001-1743-5655

Scopus Author ID: 57369669000

Researcher ID: 1231586

1. Novosibirsk State University, Novosibirsk, Russia

v.s.nurmuhammad@gmail.com,v.nurmakhmatov@g.nsu.ru

We consider the Cauchy problem for a class of uniformly strictly pseudohyperbolic fourth-order equations with variable coefficients. This class includes, in particular, the Vlasov, Galpern, and Rayleigh-Bishop equations. In the work the energy estimates for the solution are established.

УДК 517.955

Keywords: Equations not solvable with respect to the highest-order derivative, pseudohyperbolic equations, energy estimates, weighted Sobolev spaces.