On the asymptotic decay of L2-solutions of one-body Schrödinger equations in unbounded domains

DOI10.1017/S0308210500024574zbMath0711.35013OpenAlexW2088431472MaRDI QIDQ3496592

Maria Hoffmann-Ostenhof

Publication date: 1990

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500024574

zbMATH Keywords

asymptotic decayspherical average

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Ground-state positivity, negativity, and compactness for a Schrödinger operator in \(\mathbb R^N\) ⋮ Intrinsic ultracontractivity of a Schrödinger semigroup in \(\mathbb R^N\) ⋮ An extension of maximum and anti-maximum principles to a Schrödinger equation in \(\mathbb{R}^2\)

Cites Work

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• Exponential lower bounds to solutions of the Schrödinger equation: lower bounds for the spherical average
• Lower bounds for solutions of perturbed Helmholtz equations in exterior regions
• Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
• Asymptotics of the nodal lines of solutions of 2-dimensional Schrödinger equations
• Decay order of eigenfunctions of second-order elliptic operators in an unbounded domain, and its applications
• On the asymptotics of nodes of \(L^ 2\)-solutions of Schrödinger equations in dimensions \(\geq 3\)
• L²-lower bounds to solutions of one-body Schrödinger equations
• Asymptotic decay of the solution of a second-order elliptic equation in an unbounded domain. Applications to the spectral properties of a Hamiltonian
• Elliptic Partial Differential Equations of Second Order

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