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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains: Volume I
Paperback
Series: Operator Theory: Advances and Applications, Book 111
General GardeningGeneral Mathematics
ISBN13: 9783034895651
Publisher: Springer Nature
Published: Oct 21 2012
Pages: 435
Weight: 1.76
Height: 0.94 Width: 7.00 Depth: 10.00
Language: English
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.
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.
3 different editions
Also available
Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II: Volume II
Maz'ya, Vladimir
Nazarov, Serguei
Hardcover
Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains: Volume I
Plamenevskij, Boris
Maz'ya, Vladimir
Nazarov, Serguei
Hardcover
Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II: Volume II
Nazarov, Serguei
Maz'ya, Vladimir
Paperback
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