For the first time in the mathematical literature this
two-volume work introduces a unified and general approach to the
asymptotic analysis of elliptic boundary value problems in
singularly perturbed domains. This first volume is devoted to
domains whose boundary is smooth in the neighborhood of finitely
many conical points. In particular, the theory encompasses the
important case of domains with small holes. The second volume, on
the other hand, treats perturbations of the boundary in higher
dimensions as well as nonlocal perturbations.
The core of this book consists of the solution of general elliptic
boundary value problems by complete asymptotic expansion in powers
of a small parameter that characterizes the perturbation of the
domain. The construction of this method capitalizes on the theory
of elliptic boundary value problems with nonsmooth boundary that
has been developed in the past thirty years.
Much attention is paid to concrete problems in mathematical
physics, for example in elasticity theory. In particular, a study
of the asymptotic behavior of stress intensity factors, energy
integrals and eigenvalues is presented.
To a large extent the book is based on the authors work and has no
significant overlap with other books on the theory of elliptic
boundary value problems."
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!