Duality methods in the theory of averaging of nonlinear variational problems are developed. The questions of a general nature that are discussed include a detailed analysis of the concept of regularity, an example of a nonregular Lagrangian, and the derivation of duality formulas that take account of the regularity problem. The main content is concerned…
Mathematics of the USSR-Izvestiya Template
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About the Mathematics of the USSR-Izvestiya format
Mathematics of the USSR-Izvestiya is a peer-reviewed journal published by IOP Publishing, covering Differential Equations and Boundary Problems, Algebraic Geometry and Number Theory, Advanced Topics in Algebra.
| Publisher | IOP Publishing |
|---|---|
| Reference style | Numbered (IOP) Numbered — [1], [2] in the text [1] Smith A, Jones B and Lee C 2023 A representative article title Mathematics of the USSR-Izvestiya 12 45–58
Formats any DOI in Mathematics of the USSR-Izvestiya style. No sign-up. |
| Publishes research in | Differential Equations and Boundary Problems Algebraic Geometry and Number Theory Advanced Topics in Algebra Advanced Algebra and Geometry advanced mathematical theories |
| ISSN | 0025-5726 |
| h-index | 90 |
| i10-index | 690 |
| Total citations | 39,901 |
| Top institutions publishing here | Institut Fourier |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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Most-cited papers in Mathematics of the USSR-Izvestiya
We set up the technique of discriminant-forms, which allows us to transfer many results for unimodular symmetric bilinear forms to the nonunimodular case and is convenient in calculations. Further, these results are applied to Milnor's quadratic forms for singularities of holomorphic functions and also to algebraic geometry over the reals. Bibliography: 57 titles.
In this paper a general operator K-functor is constructed, depending on a pair A, B of C*-algebras. Special cases of this functor are the ordinary cohomological K-functor K*(B) and the homological K-functor K*(A). The results (homotopy invariance, Bott periodicity, exact sequences, etc.) permit one to compute effectively in concrete examples. The main result, concerning extensions…
We consider the covariant and contravariant symbols of operators that are a generalization of the Wick and anti-Wick symbols introduced earlier. With the help of these symbols we investigate the spectral characteristics of operators, and construct a method of successive approximations to calculate the exponential of an operator. In an application to anti-Wick symbols this…
This paper gives a negative solution to the problem of Milnor concerning the degrees of growth of groups. The construction also answers a question of Day concerning amenable groups. A number of other results are obtained on residually finite finitely generated infinite 2-groups.