Oblique Derivative Boundary Conditions and the Image Method for Wedges

Arthur K. Gautesen · SIAM Journal on Applied Mathematics · 1988

The image method of solving boundary value problems in half spaces with oblique derivative boundary conditions for a class of equations including the wave equation, the heat equation and Laplace’s equation is extended to spaces whose boundaries are formed by two intersecting planes with angle of intersection $\pi/ N$. This generalizes a result of Keller [SIAM J. Appl. Math., 41 (1981), pp. 294–300].

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