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Mixed Oblique Derivative Problem for the Helmholtz Equation in a Half-Disk

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A mixed oblique derivative boundary value problem is considered for the Helmholtz equation in a half-disk. We prove the unique solvability of this problem for sufficiently large values of the… Click to show full abstract

A mixed oblique derivative boundary value problem is considered for the Helmholtz equation in a half-disk. We prove the unique solvability of this problem for sufficiently large values of the parameter occurring in the equation, the leading part of the inverse operator being constructed explicitly.

Keywords: mixed oblique; helmholtz equation; oblique derivative; equation half; equation; problem

Journal Title: Differential Equations
Year Published: 2018

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