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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains
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 …
Theory of Sobolev Multipliers
'I never heard of "Ugli?cation," Alice ventured to say. 'What is it?" Lewis Carroll, "Alice in Wonderland" Subject and motivation. The present book is devoted to a theory of m- …
Asymptotic Analysis of Fields in Multi-structures
The asymptotic analysis of boundary value problems in parameter-dependent domains is a rapidly developing field of research in the theory of partial differential equations, with …
Sobolev Spaces
Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form …
Sobolev Spaces in Mathematics I
0 such that wheneverB(x,r)= {y?X :d(x,y)
Boundary Integral Equations on Contours with Peaks
An equation of the form ??(x)? K(x,y)?(y)d?(y)= f(x),x?X, (1) X is called a linear integral equation. Here (X,?)isaspacewith ?-?nite measure ? and ? is a complex parameter, K and f …
Recent Trends in Operator Theory and Partial Differential Equations
This volume is dedicated to the eminent Georgian mathematician Roland Duduchava on the occasion of his 70th birthday. It presents recent results on Toeplitz, Wiener-Hopf, and …
Differential Equations with Operator Coefficients
The first systematic, self-contained presentation of a theory of arbitrary order ODEs with unbounded operator coefficients in a Hilbert or Banach space. Developed over the last 10 …
Sobolev Spaces in Mathematics II
Sobolev spaces become the established and universal language of partial differential equations and mathematical analysis. Among a huge variety of problems where Sobolev spaces are …
Approximate Approximations
In this book, a new approach to approximation procedures is developed. This new approach is characterized by the common feature that the procedures are accurate without being …
Differential Equations of My Young Years
Vladimir Maz'ya (born 1937) is an outstanding mathematician who systematically made fundamental contributions to a wide array of areas in mathematical analysis and in the theory of …
Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
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 …