Komech, A. I.
Overview
Works:  22 works in 62 publications in 3 languages and 1,131 library holdings 

Genres:  Pictorial works 
Roles:  Author, Creator 
Classifications:  QC174.26.W28, 530.124 
Publication Timeline
.
Most widely held works by
A. I Komech
Principles of partial differential equations by
A. I Komech(
)
18 editions published between 2009 and 2010 in English and held by 438 WorldCat member libraries worldwide
18 editions published between 2009 and 2010 in English and held by 438 WorldCat member libraries worldwide
Dispersion decay and scattering theory by
A. I Komech(
)
9 editions published in 2012 in English and held by 412 WorldCat member libraries worldwide
"Dispersion Decay and Scattering Theory provides thorough, easytounderstand guidance on the application of scattering theory methods to modern problems in mathematics, quantum physics, and mathematical physics. Introducing spectral methods with applications to dispersion timedecay and scattering theory, this book presents, for the first time, the AgmonJensenKato spectral theory for the Schr?dinger equation, extending the theory to the KleinGordon equation. The dispersion decay plays a crucial role in the modern application to asymptotic stability of solitons of nonlinear Schr?dinger and KleinGordon equations. The authors clearly explain the fundamental concepts and formulas of the Schr?dinger operators, discuss the basic properties of the Schr?dinger equation, and offer indepth coverage of AgmonJensenKato theory of the dispersion decay in the weighted Sobolev norms. The book also details the application of dispersion decay to scattering and spectral theories, the scattering cross section, and the weighted energy decay for 3D KleinGordon and wave equations. Complete streamlined proofs for key areas of the AgmonJensenKato approach, such as the highenergy decay of the resolvent and the limiting absorption principle are also included. Dispersion Decay and Scattering Theory is a suitable book for courses on scattering theory, partial differential equations, and functional analysis at the graduate level. The book also serves as an excellent resource for researchers, professionals, and academics in the fields of mathematics, mathematical physics, and quantum physics who would like to better understand scattering theory and partial differential equations and gain problemsolving skills in diverse areas, from highenergy physics to wave propagation and hydrodynamics."
9 editions published in 2012 in English and held by 412 WorldCat member libraries worldwide
"Dispersion Decay and Scattering Theory provides thorough, easytounderstand guidance on the application of scattering theory methods to modern problems in mathematics, quantum physics, and mathematical physics. Introducing spectral methods with applications to dispersion timedecay and scattering theory, this book presents, for the first time, the AgmonJensenKato spectral theory for the Schr?dinger equation, extending the theory to the KleinGordon equation. The dispersion decay plays a crucial role in the modern application to asymptotic stability of solitons of nonlinear Schr?dinger and KleinGordon equations. The authors clearly explain the fundamental concepts and formulas of the Schr?dinger operators, discuss the basic properties of the Schr?dinger equation, and offer indepth coverage of AgmonJensenKato theory of the dispersion decay in the weighted Sobolev norms. The book also details the application of dispersion decay to scattering and spectral theories, the scattering cross section, and the weighted energy decay for 3D KleinGordon and wave equations. Complete streamlined proofs for key areas of the AgmonJensenKato approach, such as the highenergy decay of the resolvent and the limiting absorption principle are also included. Dispersion Decay and Scattering Theory is a suitable book for courses on scattering theory, partial differential equations, and functional analysis at the graduate level. The book also serves as an excellent resource for researchers, professionals, and academics in the fields of mathematics, mathematical physics, and quantum physics who would like to better understand scattering theory and partial differential equations and gain problemsolving skills in diverse areas, from highenergy physics to wave propagation and hydrodynamics."
Quantum mechanics genesis and achievements by
A. I Komech(
)
11 editions published between 2012 and 2013 in 3 languages and held by 166 WorldCat member libraries worldwide
The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard applications to the hydrogen atom. The author has aimed at presenting quantum mechanics in a comprehensive yet accessible for mathematicians and other nonphysicists. The genesis of quantum mechanics, its applications to basic quantum phenomena, and detailed explanations of the corresponding mathematical methods are presented. The exposition is formalized (whenever possible) on the basis of the coupled Schroedinger, Dirac and Maxwell equations. Aimed at upper graduate and graduate students in math
11 editions published between 2012 and 2013 in 3 languages and held by 166 WorldCat member libraries worldwide
The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard applications to the hydrogen atom. The author has aimed at presenting quantum mechanics in a comprehensive yet accessible for mathematicians and other nonphysicists. The genesis of quantum mechanics, its applications to basic quantum phenomena, and detailed explanations of the corresponding mathematical methods are presented. The exposition is formalized (whenever possible) on the basis of the coupled Schroedinger, Dirac and Maxwell equations. Aimed at upper graduate and graduate students in math
Elements of the modern theory of partial differential equations by
I︠U︡. V Egorov(
Book
)
6 editions published between 1994 and 1999 in English and held by 81 WorldCat member libraries worldwide
6 editions published between 1994 and 1999 in English and held by 81 WorldCat member libraries worldwide
Arkhitektura i landshafty Rossii(
Book
)
1 edition published in 2003 in Russian and held by 10 WorldCat member libraries worldwide
1 edition published in 2003 in Russian and held by 10 WorldCat member libraries worldwide
Svod pamâtnikov arhitektury i monumentalʹnogo iskusstva Rossii(
Book
)
1 edition published in 2000 in Russian and held by 3 WorldCat member libraries worldwide
1 edition published in 2000 in Russian and held by 3 WorldCat member libraries worldwide
On convergence to statistic equilibrium in wave equations with mixing by
T. V Dudnikova(
Book
)
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
On transitions to stationary states in 1D nonlinear wave equations by
Aleksandr I Komeč(
Book
)
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
On convergence to statistic equilibrium in twotemperature problem for wave equations with mixing by
T. V Dudnikova(
Book
)
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
Dispersion decay and scattering theory by
A. I Komech(
)
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
Svod pamâtnikov arhitektury i monumentalʹnogo iskusstva Rossii(
Book
)
1 edition published in 1998 in Russian and held by 2 WorldCat member libraries worldwide
1 edition published in 1998 in Russian and held by 2 WorldCat member libraries worldwide
Isskustvo zapadnoj Evropy i Vizantii(
Book
)
1 edition published in 1978 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1978 in Russian and held by 1 WorldCat member library worldwide
On global attraction to quantum stationary states II. several nonlinear oscillators coupled to massive scalar field by
A. I Komech(
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
Determination of the mean square of the velocity difference for homogeneous statistical solutions of a threedimensional NavierStokes
system by
M. I Vishik(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
On convergence to statistic equilibrium in wave equations with mixing by Tatiana V Dudnikova(
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
On global attraction to quantum stationary states III : KleinGordon equation with mean field interaction by
A. I Komech(
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
Prakticheskoe reshenie uravneniï matematicheskoï fiziki : uchebnometodicheskoe posobie [Practical solution of mathematical
physics equations] by
A. I Komech(
Book
)
1 edition published in 1986 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1986 in Russian and held by 1 WorldCat member library worldwide
Elements of the modern theory of partial diffrential equations by
Yurii Vladimirovich Egorov(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
On convergence to statistic equilibrium in twotemperature problem for wave equations with mixing by Tatiana V Dudnikova(
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Iskusstvo zapadnoĭ Evropy i Vizantii(
Book
)
1 edition published in 1978 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1978 in Russian and held by 1 WorldCat member library worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Komech, Andrew
 Kopylova, Elena 1960
 Wiley InterScience (Online service)
 Egorov, I︠U︡. V. (I︠U︡riĭ Vladimirovich) Author Creator
 Shubin, M. A. (Mikhail Aleksandrovich) 1944 Creator
 Gosudarstvennyĭ institut iskusstvoznanii︠a︡ Ministerstva kulʹtury Rossiĭskoĭ Federat︠s︡ii
 Gosudarstvennyj institut iskusstvoznaniâ
 Shubin, M. A.
 Dudnikova, T. V. Author
 Spohn, Herbert 1946
Associated Subjects
Architecture ArchitectureConservation and restoration Art, Byzantine Art, European Chemistry Differential equations Differential equations, Linear Differential equations, Partial KleinGordon equation Lost architecture Mathematical physics Mathematics Nonrelativistic quantum mechanics Physical organic chemistry Physics Quantum theory Relativistic quantum theory Ruined buildings Russia (Federation) Scattering (Mathematics) Spectral theory (Mathematics)