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arxiv: 1905.08281 · v1 · pith:6NU53QYEnew · submitted 2019-05-20 · 🧮 math.AP

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

classification 🧮 math.AP
keywords degeneratedifferentialellipticlearningoptimalstrategiesargumentarises
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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.

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