# Qualitative properties of the fourth-order hyperbolic equations

Source: [Qualitative properties of the fourth-order hyperbolic equations](<https://www.sota2.com/research/paper/68fa5adc1e209131ce9c33c6>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T16:43:44.803Z

Authors: K.Buryachenko

Published: 2023-09-13T10:03:11.000Z

## Abstract

We investigate the qualitative properties of the weak solutions to the boundary value problems for the hyperbolic fourth-order linear equations with constant coefficients in the plane bounded domain convex with respect to characteristics. The main question is to prove the analogue of maximum principle, solvability and uniqueness results for the weak solutions of initial and boundary value problems in the case of weak regularities of initial data from $L^2.$

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2309.06856>)

[PDF](<https://arxiv.org/pdf/2309.06856.pdf>)