# Solution of a class of reaction-diffusion systems via logarithmic Sobolev inequality

Source: [Solution of a class of reaction-diffusion systems via logarithmic Sobolev inequality](<https://www.sota2.com/research/paper/68fa50e71e209131ce96f6ec>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:55:32.003Z

Authors: Pierre Foug\\\`eres, Ivan Gentil, Boguslaw Zegarlinski

Published: 2014-05-06T07:06:57.000Z

## Abstract

We study global existence, uniqueness and positivity of weak solutions of a class of reaction-diffusion systems of chemical kinetics type, under the assumptions of logarithmic Sobolev inequality and appropriate exponential integrability of the initial data.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1405.1170>)

[PDF](<https://arxiv.org/pdf/1405.1170.pdf>)