English

Multipoint Cauchy problem for nonlinear wave equations in vector-valued spaces

Analysis of PDEs 2017-09-28 v1 Mathematical Physics math.MP

Abstract

In this paper, regularity properties, Strichartz type estimates to solutions of multipo{\i}nt Cauchy problem for linear and nonlinear abstract wave equations in vector-valued function spaces are obtained. The equation includes a linear operator A defined in a Hilbert space H, in which by choosing H and A we can obtain numerous classis of nonlocal initial value problems for wave equations which occur in a wide variety of physical systems.

Keywords

Cite

@article{arxiv.1709.09547,
  title  = {Multipoint Cauchy problem for nonlinear wave equations in vector-valued spaces},
  author = {Veli Shakhmurov},
  journal= {arXiv preprint arXiv:1709.09547},
  year   = {2017}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1706.07226

R2 v1 2026-06-22T21:56:44.851Z