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arXiv · 1801.03112

Fundamental Solutions and Decay of Fully Non-local Problems

Juan C. Pozo·Vicente Vergara
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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.

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Juan C. Pozo, Vicente Vergara. 2018-01-09. Fundamental Solutions and Decay of Fully Non-local Problems. https://arxiv.org/abs/1801.03112

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