Some isoperimetric norm bounds for solutions of the Helmholtz equation

DOI10.1007/BF01594001zbMath0256.35023MaRDI QIDQ2558992

M. E. Rayner, Lawrence E. Payne

Publication date: 1973

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• An isoperimetric inequality for the first eigenfunction in the fixed membrane problem
• Untere und obere Schranken für den tiefsten Eigenwert der elastisch gestützten Membran
• A Faber-Krahn Inequality for Wedge-Like Membranes
• Isoperimetric Inequalities and Their Applications
• Generalized axially symmetric potential theory