Martin boundary for Schrödinger operators with singularity.
W. Hansen, A. Boukricha (1994)
Mathematische Annalen
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W. Hansen, A. Boukricha (1994)
Mathematische Annalen
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Wiesław Cupała (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The probabilistic approach to the Dirichlet boundary value problem for certain Schrödinger equations with magnetic vector potentials is examined
Bernard Ducomet, Alexander Zlotnik, Ilya Zlotnik (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We consider an initial-boundary value problem for a generalized 2D time-dependent Schrödinger equation (with variable coefficients) on a semi-infinite strip. For the Crank–Nicolson-type finite-difference scheme with approximate or discrete transparent boundary conditions (TBCs), the Strang-type splitting with respect to the potential is applied. For the resulting method, the unconditional uniform in time -stability is proved. Due to the splitting, an effective direct...
Minoru Murata (1990)
Mathematische Annalen
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