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The Cauchy problem for heat equation with fractional Laplacian and exponential nonlinearity

We consider the Cauchy problem for heat equation with fractional Laplacian and exponential nonlinearity. We establish local well-posedness result in Orlicz spaces. We derive the existence of global solutions for small initial data. We obtain decay estimates for large time in Lebesgue spaces.

preprint2020arXivOpen access
Ahmad FinoMokhtar Kirane
math.AP
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Ahmad FinoMokhtar Kirane

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