Elliptic Boundary Value Problems on Corner Domains: Smoothness and Asymptotics of Solutions - Lecture Notes in Mathematics 1341 (Paperback)
  • Elliptic Boundary Value Problems on Corner Domains: Smoothness and Asymptotics of Solutions - Lecture Notes in Mathematics 1341 (Paperback)
zoom

Elliptic Boundary Value Problems on Corner Domains: Smoothness and Asymptotics of Solutions - Lecture Notes in Mathematics 1341 (Paperback)

(author)
£44.99
Paperback 264 Pages / Published: 24/08/1988
  • We can order this

Usually despatched within 3 weeks

  • This item has been added to your basket
This research monograph focusses on a large class of variational elliptic problems with mixed boundary conditions on domains with various corner singularities, edges, polyhedral vertices, cracks, slits. In a natural functional framework (ordinary Sobolev Hilbert spaces) Fredholm and semi-Fredholm properties of induced operators are completely characterized. By specially choosing the classes of operators and domains and the functional spaces used, precise and general results may be obtained on the smoothness and asymptotics of solutions. A new type of characteristic condition is introduced which involves the spectrum of associated operator pencils and some ideals of polynomials satisfying some boundary conditions on cones. The methods involve many perturbation arguments and a new use of Mellin transform. Basic knowledge about BVP on smooth domains in Sobolev spaces is the main prerequisite to the understanding of this book. Readers interested in the general theory of corner domains will find here a new basic theory (new approaches and results) as well as a synthesis of many already known results; those who need regularity conditions and descriptions of singularities for numerical analysis will find precise statements and also a means to obtain further one in many explicit situtations.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783540501695
Number of pages: 264
Weight: 860 g
Dimensions: 235 x 155 x 14 mm
Edition: 1988 ed.

You may also be interested in...

Topics in Banach Space Theory
Added to basket
Calculus Know-It-ALL
Added to basket
Calculus
Added to basket
£41.99
Hardback
The Cartoon Guide to Calculus
Added to basket
Schaum's Outline of Calculus
Added to basket
How to Think About Analysis
Added to basket
Calculus: Concepts and Methods
Added to basket
Schaums Outline of Tensor Calculus
Added to basket
Limits, Limits Everywhere
Added to basket
The Calculus Lifesaver
Added to basket
Geometry from a Differentiable Viewpoint
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.