Background
Maz'ya, Vladimir G. was born on December 31, 1937 in Leningrad, Union of the Soviet Socialist Republics. Arrived in Sweden, 1990.
(The asymptotic analysis of boundary value problems in par...)
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 important applications in electrostatics, elasticity, hydrodynamics and fracture mechanics. Building on the work of Ciarlet and Destuynder, this book provides a systematic coverage of these methods in multi-structures, i.e. domains which are dependent on a small parameter e in such a way that the limit region consists of subsets of different space dimensions. An undergraduate knowledge of partial differential equations and functional analysis is assumed.
http://www.amazon.com/Asymptotic-Analysis-Multi-Structures-Mathematical-Monographs/dp/0198514956%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3D0198514956
(This book develops a detailed theory of a generalized Stu...)
This book develops a detailed theory of a generalized Sturm-Liouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity. Of independent interest, the higher-order Sturm-Liouville equation also proved to have important applications to differential equations with operator coefficients and elliptic boundary value problems for domains with non-smooth boundaries. The book addresses graduate students and researchers in ordinary and partial differential equations, and is accessible with a standard undergraduate course in real analysis.
http://www.amazon.com/Higher-Order-Sturm-Liouville-Equation-Lecture-Mathematics/dp/3540630651%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3D3540630651
( The first systematic, self-contained presentation of a ...)
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 years by the authors, it deals with conditions of solvability, classes of uniqueness, estimates for solutions and asymptotic representations of solutions at infinity.
http://www.amazon.com/Differential-Equations-Operator-Coefficients-Applications/dp/3642084532%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3D3642084532
(Sobolev spaces play an outstanding role in modern analysi...)
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 an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author’s involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume ﬁrst appeared in German as three booklets of Teubner-Texte zur Mathematik (1979, 1980). In the Springer volume “Sobolev Spaces”, published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differential equations. New historical comments, five new chapters and a signiﬁcantly augmented list of references aim to create a broader and modern view of the area.
http://www.amazon.com/Sobolev-Spaces-Applications-mathematischen-Wissenschaften/dp/3642155634%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3D3642155634
Maz'ya, Vladimir G. was born on December 31, 1937 in Leningrad, Union of the Soviet Socialist Republics. Arrived in Sweden, 1990.
Diploma in Mathematics and Mechanics (honorary), Leningrad University, 1960. Doctorate, Moscow University, 1962. Doctorate (honorary), University Rostock, Germany, 1990.
Junior researcher Institute of Mathematics and Mechanics Leningrad University, 1960-1964, senior researcher, 1964-1986. Lecturer Leningrad Shipbuilding Institute, 1968-1972, professor, 1971. With Leningrad Institute Engineering Studies, 1986-1990.
Professor University Linköping, Sweden, since 1990.
(The asymptotic analysis of boundary value problems in par...)
(This book develops a detailed theory of a generalized Stu...)
(Sobolev spaces play an outstanding role in modern analysi...)
( The first systematic, self-contained presentation of a ...)
Fellow Royal Society Edinburgh (correspondent), Royal Swedish Academy of Sciences.
Married Tatyana Shaposhnikova.