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arXiv · 1504.06265

Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients

Fabio Punzo·Enrico Valdinoci
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Abstract

We investigate existence and uniqueness of solutions to a class of fractional parabolic equations satisfying prescribed pointwise conditions at infinity (in space), which can be time- dependent. Moreover, we study the asymptotic behaviour of such solutions. We also consider solutions of elliptic equations satisfying appropriate conditions at infinity.

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Fabio Punzo, Enrico Valdinoci. 2015-04-23. Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients. https://arxiv.org/abs/1504.06265

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