WIAS Preprint No. 2104, (2015)

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


  • Punzo, Fabio
  • Valdinoci, Enrico
    ORCID: 0000-0001-6222-2272

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.

Appeared in

  • ESAIM: COCV, 24 (2018) pp. 105--127.

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