Differential and Integral Equations · 1997 · 12 citations · 3 references
Natural SciencesPhysicsMathematical PhysicsTheoretical PhysicsBoundary ConditionsBoundary-value ProblemsIntegral Equation FormulationsIntegral EquationsOperator TheorySchrödinger EquationDirichlet Boundary ConditionsDirichlet ConditionsDirichlet ProblemsDirichlet ProcessesPoisson Integral FormulaSchrödinger-poisson System
We consider the Dirichlet problem for the Schrödinger operator in a half-space with boundary data having an arbitrary growth at infinity. A solution is constructed as the generalized Poisson integral. Uniqueness of the solution is investigated also.
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