Lower bounds for solutions of perturbed Helmholtz equations in exterior regions

DOI10.1016/0022-247X(84)90206-3zbMath0552.35015MaRDI QIDQ801471

D. W. Thoe

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

energy estimatesKlein-Gordon equationSchrödinger equationHelmholtz equationdifferential inequalities

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items

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

Cites Work

• Lokale und asymptotische Eigenschaften der Lösungen der Helmholtzschen Schwingungsgleichung
• Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
• A Generalization of Theorems of Rellich and Atkinson
• Unnamed Item

This page was built for publication: Lower bounds for solutions of perturbed Helmholtz equations in exterior regions