Spherical means and radiation conditions

DOI10.1007/BF00284171zbMath0087.09603MaRDI QIDQ770899

Calvin H. Wilcox

Publication date: 1959

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

partial differential equations

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Cites Work

• Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
• Die Grundzüge einer mathematischen Theorie elektromagnetischer Schwingungen
• An expansion theorem for electromagnetic fields
• A Generalization of Theorems of Rellich and Atkinson
• Multiple Scattering of Neutrons. II. Diffusion in a Plate of Finite Thickness
• An asymptotic solution of Maxwell's equations
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