Premium
Boundary Integral Equation Method in the Steady State Oscillation Problems for Anisotropic Bodies
Author(s) -
Natroshvili David
Publication year - 1997
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19970125)20:2<95::aid-mma839>3.0.co;2-r
Subject(s) - mathematics , boundary value problem , oscillation (cell signaling) , mathematical analysis , anisotropy , limiting , homogeneous , boundary (topology) , integral equation , physics , mechanical engineering , genetics , quantum mechanics , combinatorics , engineering , biology
The three‐dimensional steady state oscillation problems of the elasticity theory for homogeneous anisotropic bodies are studied. By means of the limiting absortion principle the fundamental matrices maximally decaying at infinity are constructed and the generalized Sommerfeld–Kupradze type radiation conditions are formulated. Special functional spaces are introduced in which the basic and mixed exterior boundary value problems of the steady state oscillation theory have unique solutions for arbitrary values of the oscillation parameter. Existence theorems are proved by reduction of the original boundary value problems to equivalent boundary integral (pseudodifferential) equations. © 1997 by B.G. Teubner Stuttgart‐John Wiley & Sons, Ltd.