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.
|Number of pages||23|
|Journal||ESAIM - Control, Optimisation and Calculus of Variations|
|Publication status||Published - Jan 2018|