WorldCat Identities

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

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 Most of the results and their proofs are as yet unpublished.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, non-Weyl 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 Atiyah-Singer index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples
Differentsial'nye uravneniia s chastnymi Proizvodnymi-4 by I︠U︡. V Egorov( Book )

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

 
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The precise spectral asymptotics for elliptic operators acting in fiberings over manifolds with boundary
Alternative Names
Ivrii, V. 1949-

Ivrii, V. Ja.

Ivriǐ, V.Ja. 1949-

Ivrii, Victor

Ivriĭ, Viktor 1949-

Ivrij, V.Ja. 1949-

Ivrij, Viktor 1949-

Victor Ivrii Soviet, Canadian mathematician

Languages
Covers
Microlocal analysis and precise spectral asymptoticsPartial differential equations