On a weighted boundary-value problem in an infinite half-strip for a biaxisymmetric Helmholtz equation (Q384588)

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scientific article; zbMATH DE number 6234150
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On a weighted boundary-value problem in an infinite half-strip for a biaxisymmetric Helmholtz equation
scientific article; zbMATH DE number 6234150

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    On a weighted boundary-value problem in an infinite half-strip for a biaxisymmetric Helmholtz equation (English)
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    28 November 2013
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    The author studies boundary value problems for a generalized biaxisymmetric Helmholtz equation in the half-strip D = (0, a) \(\times\) (0,+\(\infty\)). For particular boundary conditions that depend on equation parameters the author proves the uniqueness of a solution and provides an explicit formula using the Fourier-Bessel series expansion and the Hankel transform. There are no comments about the physical meaning of these boundary value problems.
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    Helmholtz equation
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    Fourier-Bessel series
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    Hankel transform
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    Bessel functions
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