Maximum principle for the weak solutions of the Cauchy problem for the fourth-order hyperbolic equations

TL;DR

This paper studies the maximum principle for weak solutions of fourth-order hyperbolic equations with constant complex coefficients in bounded planar domains, providing theoretical insights into their behavior.

Contribution

It establishes the maximum principle for weak solutions of fourth-order hyperbolic equations, extending classical results to complex coefficient cases.

Findings

Maximum principle holds for weak solutions under specified conditions.

Results applicable to bounded planar domains.

Provides theoretical foundation for further analysis of such equations.

Abstract

We investigate the maximum principle for the weak solutions to the Cauchy problem for the hyperbolic fourth-order linear equations with constant complex coefficients in the plane bounded domain