On the solvability of boundary value problems for the inhomogeneous Schrödinger equation on model Riemannian manifolds

DOI10.1134/S1995080222060208zbMath1498.35198OpenAlexW4285504638WikidataQ115247335 ScholiaQ115247335MaRDI QIDQ2172886

Alexander G. Losev, Elena A. Mazepa

Publication date: 19 September 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222060208

zbMATH Keywords

Dirichlet problemasymptotic behavior of solutionsSchrödinger equation on Riemann manifolds

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Dirichlet problem at infinity for manifolds of negative curvature
• The Dirichlet problem at infinity for a negatively curved manifold
• The Poisson equation on complete manifolds with positive spectrum and applications
• Negatively curved manifolds, elliptic operators, and the Martin boundary
• The Dirichlet problem at infinity for nonpositively curved manifolds
• Poisson equation, Poincaré-Lelong equation and curvature decay on complete Kähler manifolds.
• Solvability of the Dirichlet problem for the Poisson equation on some noncompact Riemannian manifolds
• Unbounded solutions of the stationary Schrödinger equation on Riemannian manifolds
• Pointwise estimates of solutions to semilinear elliptic equations and inequalities
• Differential equations on riemannian manifolds and their geometric applications
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

This page was built for publication: On the solvability of boundary value problems for the inhomogeneous Schrödinger equation on model Riemannian manifolds