Fundamental Solutions and Decay of Fully Non-local Problems
Analysis of PDEs
2018-06-19 v2
Abstract
In this paper, we study a fully non-local reaction-diffusion equation which is non-local both in time and space. We apply subordination principles to construct the fundamental solutions of this problem, which we use to find a representation of the mild solutions. Moreover, using techniques of Harmonic Analysis and Fourier Multipliers, we obtain the temporal decay rates for the mild solutions.
Keywords
Cite
@article{arxiv.1801.03112,
title = {Fundamental Solutions and Decay of Fully Non-local Problems},
author = {Juan C. Pozo and Vicente Vergara},
journal= {arXiv preprint arXiv:1801.03112},
year = {2018}
}