Theorems on ball mean values for solutions of the Helmholtz equation on unbounded domains

DOI10.1070/IM2012v076n02ABEH002587zbMath1246.35071MaRDI QIDQ2889560

Oksana Aleksandrovna Ochakovskaya

Publication date: 8 June 2012

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

Helmholtz equationspherical meanseigenfunctions of the Laplace operatorball means

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integration on manifolds; measures on manifolds (58C35) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Harmonic analysis and spherical functions (43A90)

Related Items (2)

Approximation in \(L^p\) by linear combinations of the indicators of balls ⋮ Mean value properties of harmonic functions and related topics (a survey)

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