On the Solvability of Boundary Value Problems for the Inhomogeneous Schrödinger Equation on Model Riemannian Manifolds

[1] Ahlfors L. V.(1935)Sur le type d’une surface de Riemann C. R. Acad. Sci. Paris 201 30-32

[2] Nevanlina R.(1940)“Ein Satz über offenen Riemannsche Flächen,” Ann. Acad. Sci. Fenn Part A 54 1-18

[3] Grigor’yan P.(1999)Analitic and geometric background of recurence and non-explosion of the Brownian motion on Riemannian manifolds Bull. Am. Math. Soc. 36 135-249

[4] Cheng S. Y.(1975)Differential equations on Riemannian manifolds and their geometric applications Comm. Pure Appl. Math. 28 333-354

[5] Yau S. T.(1985)On the existance of positive fundamental solution of the Laplace equation on Riemannian manifolds Mat. Sb. 128 354-363

[6] Grigor’yan A.(1987)Negative curved manifolds, elliptic operators, and the Martin boundary Ann. Math. 125 495-536

[7] Ancona A.(2002)Boundary value problems for stationary Schrödinger equation on Riemannian manifolds Sib. Math. J. 43 591-599

[8] Mazepa E. A.(1983)The Dirichlet problem at infinity for manifolds with negative curvature J. Differ. Geom. 18 701-722

[9] Anderson M. T.(1983)The Dirichlet problem at infinity for a negatively curved manifolds J. Differ. Geom. 18 723-732

[10] Sullivan D.(1983)The Dirichlet problem at infinity for nonpositively curved manifolds Commun. Anal. Geom. 1 101-112

[1] Ahlfors L. V.(1935)Sur le type d’une surface de Riemann C. R. Acad. Sci. Paris 201 30-32

[2] Nevanlina R.(1940)“Ein Satz über offenen Riemannsche Flächen,” Ann. Acad. Sci. Fenn Part A 54 1-18

[3] Grigor’yan P.(1999)Analitic and geometric background of recurence and non-explosion of the Brownian motion on Riemannian manifolds Bull. Am. Math. Soc. 36 135-249

[4] Cheng S. Y.(1975)Differential equations on Riemannian manifolds and their geometric applications Comm. Pure Appl. Math. 28 333-354

[5] Yau S. T.(1985)On the existance of positive fundamental solution of the Laplace equation on Riemannian manifolds Mat. Sb. 128 354-363

[6] Grigor’yan A.(1987)Negative curved manifolds, elliptic operators, and the Martin boundary Ann. Math. 125 495-536

[7] Ancona A.(2002)Boundary value problems for stationary Schrödinger equation on Riemannian manifolds Sib. Math. J. 43 591-599

[8] Mazepa E. A.(1983)The Dirichlet problem at infinity for manifolds with negative curvature J. Differ. Geom. 18 701-722

[9] Anderson M. T.(1983)The Dirichlet problem at infinity for a negatively curved manifolds J. Differ. Geom. 18 723-732

[10] Sullivan D.(1983)The Dirichlet problem at infinity for nonpositively curved manifolds Commun. Anal. Geom. 1 101-112