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1. Sobolev Spaces : with Applications to Elliptic Partial Differential Equations
by Vladimir Maz'ya
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 342
オンライン: http://dx.doi.org/10.1007/978-3-642-15564-2
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2. Sobolev Spaces in Mathematics II : Applications in Analysis and Partial Differential Equations
edited by Tamara Rozhkovskaya, Vladimir Maz'ya
出版情報: New York, NY : Springer New York, 2009
シリーズ名: International Mathematical Series ; 9
オンライン: http://dx.doi.org/10.1007/978-0-387-85650-6
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3. Differential Equations of My Young Years
by Vladimir Maz'ya
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014
オンライン: http://dx.doi.org/10.1007/978-3-319-01809-6
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Foreword
The beginning
The time of peace is over
My mother’s story
My father’s story
In Sverdlovsk
Back to Leningrad
Crime without punishment
Even the sun has spots
It is so difficult to become an “A” student
The importance of being an “A” student
Slingshots
Illnesses
“Physcult” and sports
A sharp kid
Foreign languages
My interests
Poetry
Fimka
The first place in the District!
The indecent topic
My circle of reading
I chose mathematics
A circle at the Palace of Pioneers
Two lectures for the school teachers
The English teacher
Arkady Alexeev
Alexeev’s story
Vanity of vanities, all is vanity.-You cannot live without the women. No!
The first Mathmech year
Student contests
We lead our life in major key
A mysterious ID
Musical moments
Valery Maisky
The authorities did not like me
How did I not become a dissident
Misha Danilov
Fractional derivatives
Student Scientific Society (SSS) and Tseitin
“Quasi-publication” and S. M. Lozinsky
The Mathmech choir
My doubts and S. G. Mikhlin’s advice
A few words about Mikhlin The virgin soil
Bakelman’s special course
Job placement
Siegfried
Steel sheets and YMS
Possibility and reality
Defense at the Moscow State University
Defense at the Leningrad University
About V.I. Smirnov
An order: scatter the composed type
About the “Big Seminar”
After the defense of the Doctor’s degree dissertation
Non-travels to foreign countries
Counterexamples to the Hilbert problem
Talent
Farewell, my young years!
Under close surveillance?
Foreword
The beginning
The time of peace is over
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4. Semi-bounded Partial Differential Operators
by Alberto Cialdea, Vladimir Maz'ya
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014
シリーズ名: Operator Theory: Advances and Applications ; 243
オンライン: http://dx.doi.org/10.1007/978-3-319-04558-0
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Introduction
1 Preliminary facts on semi-boundedness of forms and operators
2 Lp-dissipativity of scalar second order operators with complex coefficients
3 Elasticity system
4 Lp-dissipativity for systems of partial differential operators
5 The angle of Lp-dissipativity
6 Higher order differential operators in Lp
7 Weighted positivity and other related results
References
Introduction
1 Preliminary facts on semi-boundedness of forms and operators
2 Lp-dissipativity of scalar second order operators with complex coefficients
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5. Sharp Real-Part Theorems : A Unified Approach
by Vladimir Maz'ya, Gershon Kresin
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1903
オンライン: http://dx.doi.org/10.1007/3-540-69573-7
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6. Green's Kernels and Meso-Scale Approximations in Perforated Domains
by Vladimir Maz'ya, Alexander Movchan, Michael Nieves
出版情報: Heidelberg : Springer International Publishing : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2077
オンライン: http://dx.doi.org/10.1007/978-3-319-00357-3
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Part I: Green’s functions in singularly perturbed domains: Uniform asymptotic formulae for Green’s functions for the Laplacian in domains with small perforations
Mixed and Neumann boundary conditions for domains with small holes and inclusions. Uniform asymptotics of Green’s kernels
Green’s function for the Dirichlet boundary value problem in a domain with several inclusions
Numerical simulations based on the asymptotic approximations
Other examples of asymptotic approximations of Green’s functions in singularly perturbed domains
Part II: Green’s tensors for vector elasticity in bodies with small defects: Green’s tensor for the Dirichlet boundary value problem in a domain with a single inclusion
Green’s tensor in bodies with multiple rigid inclusions
Green’s tensor for the mixed boundary value problem in a domain with a small hole
Part III Meso-scale approximations. Asymptotic treatment of perforated domains without homogenization: Meso-scale approximations for solutions of Dirichlet problems
Mixed boundary value problems in multiply-perforated domains
Part I: Green’s functions in singularly perturbed domains: Uniform asymptotic formulae for Green’s functions for the Laplacian in domains with small perforations
Mixed and Neumann boundary conditions for domains with small holes and inclusions. Uniform asymptotics of Green’s kernels
Green’s function for the Dirichlet boundary value problem in a domain with several inclusions