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arxiv: 1405.1170 · v1 · pith:ITMULIMRnew · submitted 2014-05-06 · 🧮 math.PR

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

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keywords classinequalitylogarithmicreaction-diffusionsobolevsystemsappropriateassumptions
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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.

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