JournalsifbVol. 22, No. 1pp. 119–129

Well-posedness for degenerate elliptic PDE arising in optimal learning strategies

  • Tim Laux

    University of California, Berkeley, USA

  • J. Miguel Villas-Boas

    University of California, Berkeley, USA
Well-posedness for degenerate elliptic PDE arising in optimal learning strategies cover
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Abstract

We derive a comparison principle for a degenerate elliptic partial differential equation without boundary conditions which arises naturally in optimal learning strategies. Our argument is direct and exploits the degeneracy of the differential operator to construct (logarithmically) diverging barriers.

Cite this article

Tim Laux, J. Miguel Villas-Boas, Well-posedness for degenerate elliptic PDE arising in optimal learning strategies. Interfaces Free Bound. 22 (2020), no. 1, pp. 119–129

DOI 10.4171/IFB/434