Existence local and global solution of multipoint Cauchy problem for nonlocal nonlinear equations
Analysis of PDEs
2019-03-06 v1
Abstract
In this paper, the multipoint Cauchy problem for nonlocal nonlinear wave type equat{\i}ons are studied.The equation involves a convolution integral operator with a general kernel function whose Fourier transform is nonnegative. We establish local and global existence and uniqueness of solutions assuming enough smoothness on the initial data together with some growth conditions on the nonlinear term
Cite
@article{arxiv.1903.01553,
title = {Existence local and global solution of multipoint Cauchy problem for nonlocal nonlinear equations},
author = {Veli Shakhmurov and Rishad Shahmurov},
journal= {arXiv preprint arXiv:1903.01553},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1901.04589, arXiv:1706.00813, arXiv:1707.04492