Ivrii, Victor 1949
Overview
Works:  6 works in 39 publications in 3 languages and 777 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Other 
Classifications:  QA377, 515.353 
Publication Timeline
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Most widely held works by
Victor Ivrii
The precise spectral asymptotics for elliptic operators acting in fiberings over manifolds with boundary by
Victor Ivrii(
Book
)
20 editions published in 1984 in English and Undetermined and held by 373 WorldCat member libraries worldwide
20 editions published in 1984 in English and Undetermined and held by 373 WorldCat member libraries worldwide
Microlocal analysis and precise spectral asymptotics by
Victor Ivrii(
Book
)
13 editions published between 1998 and 2011 in English and German and held by 219 WorldCat member libraries worldwide
Devoted to the methods of microlocal analysis applied to spectral asymptotics with accurate remainder estimates, this long awaited book develops the very powerful machinery of local and microlocal semiclassical spectral asymptotics, as well as methods of combining these asymptotics with spectral estimates. The rescaling technique, an easy to use and very powerful tool, is presented. Many theorems, considered till now as independent and difficult, are now just special cases of easy corollaries of the theorems proved in this book. Most of the results and their proofs are as yet unpublished. Part 1 considers semiclassical microlocal analysis and propagation of singularities inside the domain and near the boundary. Part 2 is on local and microlocal semiclassical spectral asymptotics for general operators and Schrödinger and Dirac operators. After a synthesis in Part 3, the real fun begins in Part 4: the main theorems are applied and numerous results, both known and new, are recovered with little effort. Then, in Chapter 12, nonWeyl asymptotics are obtained for operators in domains with thick cusps, degenerate operators, for spectral Riesz means for operators with singularities. Most of the results and almost all the proofs were never published
13 editions published between 1998 and 2011 in English and German and held by 219 WorldCat member libraries worldwide
Devoted to the methods of microlocal analysis applied to spectral asymptotics with accurate remainder estimates, this long awaited book develops the very powerful machinery of local and microlocal semiclassical spectral asymptotics, as well as methods of combining these asymptotics with spectral estimates. The rescaling technique, an easy to use and very powerful tool, is presented. Many theorems, considered till now as independent and difficult, are now just special cases of easy corollaries of the theorems proved in this book. Most of the results and their proofs are as yet unpublished. Part 1 considers semiclassical microlocal analysis and propagation of singularities inside the domain and near the boundary. Part 2 is on local and microlocal semiclassical spectral asymptotics for general operators and Schrödinger and Dirac operators. After a synthesis in Part 3, the real fun begins in Part 4: the main theorems are applied and numerous results, both known and new, are recovered with little effort. Then, in Chapter 12, nonWeyl asymptotics are obtained for operators in domains with thick cusps, degenerate operators, for spectral Riesz means for operators with singularities. Most of the results and almost all the proofs were never published
Partial differential equations by
Jürgen Jost(
Book
)
2 editions published between 1993 and 2011 in English and held by 4 WorldCat member libraries worldwide
This volume contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schrodinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the AtiyahSinger index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples
2 editions published between 1993 and 2011 in English and held by 4 WorldCat member libraries worldwide
This volume contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schrodinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the AtiyahSinger index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples
Partial differential equations : [lectures given at the 1995 Annual Seminar of the Canadian Mathematical Society, hosted by
the University of Toronto, June 12  23, 1995](
Book
)
2 editions published in 1997 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 2 WorldCat member libraries worldwide
Differentsial'nye uravneniia s chastnymi Proizvodnymi4 by
I︠U︡. V Egorov(
Book
)
1 edition published in 1988 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1988 in Russian and held by 1 WorldCat member library worldwide
Partial differential equations and their applications by
P. C Greiner(
Book
)
1 edition published in 1997 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1997 in Undetermined and held by 1 WorldCat member library worldwide
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 SpringerLink (Service en ligne)
 Shubin, M. A. (Mikhail Aleksandrovich) 1944
 Seco, Luis A. Other
 Egorov, ëIìU. V. (ëIìUriæi Vladimirovich) Author
 Greiner, Peter G. Other
 Sulem, Catherine Other
 Egorov, Ûrij Vladimirovič
 Sirmai, I. A.
 Egorov, IU. V. Author
 Vsesoi︠u︡znyĭ institut nauchnoĭ i tekhnicheskoĭ informat︠s︡ii (Soviet Union)
Useful Links
Associated Subjects
Asymptotic expansions Boundary value problems ChemistryMathematics Differential equations Differential equations, Elliptic Differential equations, Hyperbolic Differential equations, Parabolic Differential equations, Partial Differential operators Eigenvalues Elliptic operators Engineering Fiberings (Mathematics) Global analysis (Mathematics) Global differential geometry Hamiltonian systems Initial value problems Mathematics Maximum principles (Mathematics) Microlocal analysis Parabolic operators Spectral theory (Mathematics)