Document Zbl 1071.74599

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Justification of a construction of the solution of the problem on a point source of \(SH\) waves in a layered medium with vertical boundary. (English. Russian original) Zbl 1071.74599

J. Math. Sci., New York 86, No. 3, 2694-2701 (1997); translation from Zap. Nauchn. Semin. POMI 218, 56-66 (1994).

Summary: We give a justification of a solution obtained by the method of separation of variables, using a suitable space of generalized functions. The boundary conditions are considered in the same space.

MSC:

74J10	Bulk waves in solid mechanics
35Q72	Other PDE from mechanics (MSC2000)
86A15	Seismology (including tsunami modeling), earthquakes

Keywords:

method of separation variables; space of generalized functions; hidden boundary conditions

Citations:

Zbl 0924.00023

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