WIAS Preprint No. 2104, (2015)
Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients
Authors
- Punzo, Fabio
- Valdinoci, Enrico
ORCID: 0000-0001-6222-2272
2010 Mathematics Subject Classification
- 35K61 35K67 35B99 35B40 35B51
Keywords
- Existence and uniqueness results, fractional parabolic and elliptic equations
DOI
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.
Appeared in
- ESAIM: COCV, 24 (2018) pp. 105--127.
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