Linear and nonlinear convolution operator equations on the infinite strip
Analysis of PDEs
2009-10-15 v1
Abstract
In the present paper we characterize the existence and uniqueness of maximal Lp-regular solutions of high order convolution operator equations. Particularly, we get coercive uniform estimates with respect to spectral parameter and we show that corresponding realization operator is R-positive and generates analytic semigroup in Lp. Then we apply these results to various problems of nonlinear integro-differential equations.
Keywords
Cite
@article{arxiv.0910.2605,
title = {Linear and nonlinear convolution operator equations on the infinite strip},
author = {Rishad Shahmurov},
journal= {arXiv preprint arXiv:0910.2605},
year = {2009}
}
Comments
19 pages