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Microlocal parametrices for a mixed problem with diffractive boundary

Kołakowski H.

Bulletin of the Polish Academy of Sciences. Mathematics

1999

Vol. 47, no 4

369-376

Following the works of M. Taylor and K. Kubota [3], [5] a parametrix for a three-dimensional mixed problem with diffractive boundary for the Lame equation is constructed. The two-dimensional case was investigated by Taylor [5]. If the wave front sets (WF(f)) of right-hand sides of the boundary conditions do not contain glancing points, this construction is almost the same as in [5] (see also [1]. In the case when W F( f ) contains diffractive points Kubota's method is used.