Regularity of complexified hyperbolic equations with integral conditions

Abstract

This paper considers hyperbolic wave equations with non-local in time conditions involving integrals with respect to time. It is shown that regularity of the solution can be achieved for complexified problem with integral conditions involving harmonic complex exponential weights. The paper establishes existence, uniqueness, and a regularity of the solutions.

References in corpus (2)

• Linear nonlocal problem for the abstract time-dependent non-homogeneous Schrödinger equation
• On recovering of solutions of Schrödinger equations from their time averages