Cantitate/Preț
Produs

Crack Theory and Edge Singularities: Mathematics and Its Applications, cartea 561

Autor D. V. Kapanadze, Bert-Wolfgang Schulze
en Limba Engleză Hardback – 30 sep 2003
Boundary value problems for partial differential equations playa crucial role in many areas of physics and the applied sciences. Interesting phenomena are often connected with geometric singularities, for instance, in mechanics. Elliptic operators in corresponding models are then sin­ gular or degenerate in a typical way. The necessary structures for constructing solutions belong to a particularly beautiful and ambitious part of the analysis. Cracks in a medium are described by hypersurfaces with a boundary. Config­ urations of that kind belong to the category of spaces (manifolds) with geometric singularities, here with edges. In recent years the analysis on such (in general, stratified) spaces has become a mathematical structure theory with many deep relations with geometry, topology, and mathematical physics. Key words in this connection are operator algebras, index theory, quantisation, and asymptotic analysis. Motivated by Lame's system with two-sided boundary conditions on a crack we ask the structure of solutions in weighted edge Sobolov spaces and subspaces with discrete and continuous asymptotics. Answers are given for elliptic sys­ tems in general. We construct parametrices of corresponding edge boundary value problems and obtain elliptic regularity in the respective scales of weighted spaces. The original elliptic operators as well as their parametrices belong to a block matrix algebra of pseudo-differential edge problems with boundary and edge conditions, satisfying analogues of the Shapiro-Lopatinskij condition from standard boundary value problems. Operators are controlled by a hierarchy of principal symbols with interior, boundary, and edge components.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 63802 lei  6-8 săpt.
  SPRINGER NETHERLANDS – 6 dec 2010 63802 lei  6-8 săpt.
Hardback (1) 64954 lei  6-8 săpt.
  SPRINGER NETHERLANDS – 30 sep 2003 64954 lei  6-8 săpt.

Din seria Mathematics and Its Applications

Preț: 64954 lei

Preț vechi: 76417 lei
-15% Nou

Puncte Express: 974

Preț estimativ în valută:
12432 12922$ 10298£

Carte tipărită la comandă

Livrare economică 04-18 februarie 25

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781402015243
ISBN-10: 1402015240
Pagini: 485
Ilustrații: XXVII, 485 p.
Dimensiuni: 156 x 234 x 26 mm
Greutate: 1.04 kg
Ediția:2003
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Mathematics and Its Applications

Locul publicării:Dordrecht, Netherlands

Public țintă

Research

Cuprins

1 Boundary value problems with the transmission property.- 2 Operators on manifolds with conical singularities.- 3 Operators on manifolds with exits to infinity.- 4 Boundary value problems on manifolds with edges.- 5 Crack theory.- List of Symbols.

Caracteristici

Systematically develops for the first time an approach in terms of algebras of (pseudo-differential) boundary value problems