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Asymptotic Dirichlet problem for the Schr\"odinger operator on 2-dimensional Cartan-Hadamard manifolds

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Abstract

We solve the asymptotic Dirichlet problem for a certain Sch-r¨odinger operator on 2-dimensional Cartan-Hadamard manifolds.

참고문헌 (3)

  1. "Convexity at innity and Brownian motion on manifolds with unboundednegative curvature"
  2. "Asymptotic Dirichlet problem for harmonic functions on Riemannian man-ifolds" (1984)
  3. "Liouville property for Schr¨odinger operators", 312, pp.659~716 (1998)

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