COMPLETENESS OF ROOT FUNCTIONS AND ELEMENTARY SOLUTIONS OF THE THERMOELASTICITY SYSTEM
1995 ◽
Vol 05
(05)
◽
pp. 587-598
Keyword(s):
In this paper we prove the completeness of the root functions (eigenfunctions and associated functions) of an elliptic system (in the sense of Douglis-Nirenberg) corresponding to the thermoelasticity system with the Dirichlet boundary value condition. The problem is considered in a domain with a non-smooth boundary. Then an initial boundary value problem corresponding to the thermoelasticity system with the Dirichlet boundary value condition is considered. We find sufficient conditions that guarantee an approximation of a solution to the initial boundary value problem by linear combinations of some “elementary solutions” to the thermoelasticity system.
2006 ◽
Vol 2006
◽
pp. 1-24
2020 ◽
Vol 70
(2)
◽
pp. 36-46
2013 ◽
Vol 283
(1)
◽
pp. 110-115