Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients
- Punzo, Fabio
- Valdinoci, Enrico
2010 Mathematics Subject Classification
- 35K61 35K67 35B99 35B40 35B51
- Existence and uniqueness results, fractional parabolic and elliptic equations
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.
- ESAIM: COCV, 24 (2018) pp. 105--127.