The Green function for \(\sum\limits_{n=1}^3 (i \;{\partial \over {\partial x_n}} - b_n)^2 u = \lambda u\) in the exterior domain and its application to the eigenfunction expansion

DOI10.2977/PRIMS/1195193116zbMath0261.35064OpenAlexW406849239MaRDI QIDQ2560563

Hiroshi Uesaka

Publication date: 1972

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195193116

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Cites Work

• Unnamed Item
• Unnamed Item
• Randwertproblem der mathematischen Akustik
• Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
• Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
• Remarks on strongly elliptic partial differential equations
• Eigenfunction expansion associated with the operator-$\Delta$ in the exterior domain
• Sur l'analyticité de la fonction spectrale de l'opérateur $\Delta$ relatif au problème extérieur

This page was built for publication: The Green function for \(\sum\limits_{n=1}^3 (i \;{\partial \over {\partial x_n}} - b_n)^2 u = \lambda u\) in the exterior domain and its application to the eigenfunction expansion