an:00053029
Zbl 0806.35001
Nazarov, Sergey A.; Plamenevsky, Boris A.
Elliptic problems in domains with piecewise smooth boundaries
EN
De Gruyter Expositions in Mathematics. 13. Berlin: de Gruyter. vii, 525 p. (1994).
00404921
1994
b
35-02 35J25 35C20 74R99 35A20 35B40 35Jxx 78A25
radiation conditions; conical points; edges; singular points on the boundary
This book deals with elliptic boundary value problems in domains with nonregular boundary which may include conical points, edges or may be unbounded. The solvability of boundary value problems is studied and the asymptotic formulae for solutions near the singular points on the boundary are obtained. The authors present the general theory of elliptic boundary value problems in a cylinder and in a cone. Problems in domains with smooth edges and on manifolds with intersecting edges are considered. Radiation conditions are analyzed for boundary value problems in domains with outlets to infinity. Applications in solid mechanics and fracture phenomena are discussed.
The Russian original was published by Nauka (Moscow) in 1991.
A. Movchan (Bath)