Solvability of initial-boundary value problems in bending of plates

Citation
I. Chudinovich et C. Constanda, Solvability of initial-boundary value problems in bending of plates, Z ANG MATH, 51(3), 2000, pp. 449-466
Citations number
9
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN journal
00442275 → ACNP
Volume
51
Issue
3
Year of publication
2000
Pages
449 - 466
Database
ISI
SICI code
0044-2275(200005)51:3<449:SOIVPI>2.0.ZU;2-Y
Abstract
The solvability is investigated of the displacement and traction initial-bo undary problems for plates with transverse shear deformation. Existence, un iqueness and continuous dependence on the data are proved for distributiona l solutions in Sobolev-type spaces. Different approaches are used for inter ior and exterior problems, since the relevant operators lose their compactn ess in exterior domains.