ON SOMMERFELDS HALF-PLANE PROBLEM FOR THE EQUATIONS OF LINEAR THERMOELASTICITY

Authors
ERBE C
Citation
C. Erbe, ON SOMMERFELDS HALF-PLANE PROBLEM FOR THE EQUATIONS OF LINEAR THERMOELASTICITY, Mathematical methods in the applied sciences, 18(15), 1995, pp. 1215-1237
Citations number
22
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical methods in the applied sciences → ACNP
ISSN journal
01704214
Volume
18
Issue
15
Year of publication
1995
Pages
1215 - 1237
Database
ISI
SICI code
0170-4214(1995)18:15<1215:OSHPFT>2.0.ZU;2-8
Abstract
The Sommerfeld screen problem-well known by many publications studying the several mathematical and physical aspects-is generalized to the l inear thermoelastic equations. We derive representation formulas of th e solution from the data in the whole plane containing the screen. The corresponding boundary integral equations of Wiener-Hopf type are pre sented and we obtain important information concerning the factorizatio n of the Wiener-Hopf operators.