O. A. Ochakovskaya, “Theorems on ball mean values for solutions of the Helmholtz equation on unbounded domains”, Izv. RAN. Ser. Mat., 2012, Volume 76, Issue 2,Pages <nobr>161

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

O. A. Ochakovskaya

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences

Abstract: We obtain a geometric description of the set of solutions of the Helmholtz equation on unbounded domains.

Keywords: Helmholtz equation, ball means, spherical means, eigenfunctions of the Laplace operator.

UDC: 517.5

MSC: 35J05, 35B05, 43A90, 58C35

Received: 05.11.2010

DOI: 10.4213/im5701