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An integral equation of elasticity
Author(s) -
Kolakowski H.,
Piskorek A.
Publication year - 1985
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/mma.1670070117
Subject(s) - mathematics , elasticity (physics) , mathematical analysis , integral equation , smoothness , thermodynamics , physics
In this work a certain mixed problem in R + 3for the Lamé equations in the theory of elasticity is reduced to the integral equationAn explicit formula for the solutions is given for either Ω = { x : x 2 > 0} or Ω = { x :∥ x ∥< r }. The question of smoothness of the solutions is also discused. Another formulae on Ω = { x :∥ x ∥< r } are found in [5], [4]. It seems that the techniques used below allows a deeper investigation of properties of the solutions to problem (*).