The Uniqueness of the Solution of the Schrödinger Equation with Discontinuous Coefficients

DOI10.1142/S0129055X98000318zbMath0924.35185arXivmath/9811176MaRDI QIDQ4235695

Willi Jäger, Yoshimi Saito

Publication date: 18 May 1999

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9811176

zbMATH Keywords

uniquenessSchrödinger equationdiscontinuityreduced wave equation

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Explicit solutions of cylindrical Schrödinger equation with radial potentials

Cites Work

• The limiting absorption and amplitude principles for the diffraction problem with two unbounded media
• Halbbeschränkte partielle Differentialoperatoren zweiter Ordnung vom elliptischen Typus
• Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
• Zur Theorie der Schwingungsgleichung mit variablen Koeffizienten in Außengebieten
• On the asymptotic behavior of eigenfunctions of second-order elliptic operators
• Limiting absorption method and absolute continuity for the Schrödinger operator
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• On Sommerfeld radiation conditions for the diffraction problem with two unbounded media
• On the spectrum of the reduced wave operator with cylindrical discontinuity
• On the continuous spectrum of schrödinger operators
• The principle of limiting absorption

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