Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Volume I

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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 genera...