On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms

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