The asymptotic behavior of the solutions of \((\Delta + \lambda )u=0\) in a domain with the unbounded boundary

DOI10.2977/prims/1195193115zbMath0257.35023OpenAlexW1786654592MaRDI QIDQ2559612

Takao Tayoshi

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/1195193115

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

Decay of solutions of the wave equation outside rough surfaces ⋮ Spectra of Schrödinger operators on planar domains with ends with unbounded cross-section ⋮ Lower bounds at infinity of solutions of partial differential equations in the exterior of a proper cone ⋮ Decay of solutions of the wave equation and spectral properties of the Laplace operator in expanding domains ⋮ Integral estimates of the solutions to the Helmholtz equation in unbounded domains ⋮ Sommerfeld radiation condition for second-order differential operator in a domain with infinite border

Cites Work

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• Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
• THE PRINCIPLE OF LIMIT AMPLITUDE

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