Theorems on ball mean values for solutions of the Helmholtz equation on unbounded domains (Q2889560)

From MaRDI portal





scientific article; zbMATH DE number 6043636
Language Label Description Also known as
English
Theorems on ball mean values for solutions of the Helmholtz equation on unbounded domains
scientific article; zbMATH DE number 6043636

    Statements

    Theorems on ball mean values for solutions of the Helmholtz equation on unbounded domains (English)
    0 references
    0 references
    8 June 2012
    0 references
    Helmholtz equation
    0 references
    ball means
    0 references
    spherical means
    0 references
    eigenfunctions of the Laplace operator
    0 references
    In this article, a geometric description of the set of solutions of the Helmholtz equation on unbounded domains is obtained. The author extends the spherical mean theorem for solutions of the Helmholtz equation for half-spaces.
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references