We investigate existence and uniqueness of solutions to a class of fractional parabolic equations satisfying prescribed point-wise conditions at infinity (in space), which can be time-dependent. Moreover, we study the asymptotic behavior of such solutions. We also consider solutions of elliptic equations satisfying appropriate conditions at infinity.
Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients
E Valdinoci
2018
Abstract
We investigate existence and uniqueness of solutions to a class of fractional parabolic equations satisfying prescribed point-wise conditions at infinity (in space), which can be time-dependent. Moreover, we study the asymptotic behavior of such solutions. We also consider solutions of elliptic equations satisfying appropriate conditions at infinity.File in questo prodotto:
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Descrizione: Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients
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