Crack Theory and Edge Singularities

af

indgår i serie Mathematics and its Applications


Studiebog
Crack Theory and Edge Singularities
Du sparer Spar kr. 35,00 med Shopping-fordele
  • Leveringstid 2-4 uger
  • Forventet levering 25-11-2021
For at købe bogen til fordelspris skal du have et medlemskab med Shopping-fordele.
Du kan prøve medlemskabet gratis i 30 dage. Medlemskabet fornyes automatisk og kan altid opsiges.
Format:
Bog, hardback
Udgivelsesdato:
30-09-2003
Sprog:
Engelsk
Udgave:
2003 ed..
  • Beskrivelse
  • Yderligere info
  • Anmeldelser

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.

Andre udgaver:

Bog, paperback

Vis mereVis mindre

Udgivelsesdato:
30-09-2003
ISBN13:
9781402015243
Vægt:
1980 g
Dybde:
28 mm
Bredde:
156 mm
Højde:
234 mm
Nummer i serien:
561
Format:
Hardback
Forfattere

Vis mereVis mindre

Vis mereVis mindre

Fandt du ikke hvad du søgte?

Hvis denne bog ikke er noget for dig, kan du benytte kategorierne nedenfor til at finde andre titler. Klik på en kategori for at se lignende bøger.

Velkommen til Saxo – din danske boghandel!

Hos os kan du handle som gæst, Saxo-bruger eller Premium-medlem – du bestemmer helt selv. Skulle du få brug for hjælp, sidder vores kundeservice-team klar ved både telefonerne og tasterne.

Om fordelspriser hos Saxo

For at købe bøger til fordelspris, skal du være medlem af Premium, Premium Shopping eller Premium Studie. De første 30 dage er gratis for nye medlemmer. Medlemskabet fornyes automatisk og kan altid opsiges. Læs mere om fordelene ved vores forskellige medlemskaber her.

Machine Name: SAXO081