English

Qualitative properties of the fourth-order hyperbolic equations

Analysis of PDEs 2023-09-14 v1 Functional Analysis

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 L2.L^2.

Keywords

Cite

@article{arxiv.2309.06856,
  title  = {Qualitative properties of the fourth-order hyperbolic equations},
  author = {K. Buryachenko},
  journal= {arXiv preprint arXiv:2309.06856},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2308.03647