On a Boundary Value Problem in a Cylinder for a Sixth-Order
Pseudohyperbolic Equation
摘要
Abstract
In the present article, we consider the first boundary value problem in a cylinder fora certain sixth-order equation that is not resolved with respect to the highest-order derivative.This is a strictly pseudohyperbolic equation with lower terms. We prove that there exists a uniquegeneralized solution of the boundary value problem in an anisotropic Sobolev space and obtainestimates of this solution.