Nonlocal Cauchy problems for wave equations and applications
Analysis of PDEs
2017-07-17 v1
Abstract
In this paper, the existence, the uniqueness and estimates of solution to the integral Cauchy problem for linear and nonlinear abstract wave equations are proved. The equation includes a linear operator A defined in a Banach space E, in which by choosing E 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.1707.04492,
title = {Nonlocal Cauchy problems for wave equations and applications},
author = {Veli Shakhmurov},
journal= {arXiv preprint arXiv:1707.04492},
year = {2017}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1706.00813