Zobrazeno 1 - 10 of 11 pro vyhledávání: '"M. A. Šubin"'
2
RANDOM PSEUDODIFFERENTIAL OPERATORS AND THE STABILIZATION OF SOLUTIONS OF PARABOLIC EQUATIONS WITH RANDOM COEFFICIENTS
Autor: M A Šubin, P E Dedik
Publikováno v: Mathematics of the USSR-Sbornik. 41:33-52
The paper is devoted to the investigation of random pseudodifferential operators, and of elliptic operators and parabolic equations with homogeneous random coefficients in classes of homogeneous random fields.Bibliography: 43 titles.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b05c220fc384c975e00e4c9376ece1dc
https://doi.org/10.1070/sm1982v041n01abeh002219
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3
DIFFERENTIAL AND PSEUDODIFFERENTIAL OPERATORS IN SPACES OF ALMOST PERIODIC FUNCTIONS
Autor: M A Šubin
Publikováno v: Mathematics of the USSR-Sbornik. 24:547-573
We construct a Sobolev-type space of almost periodic functions, in which we study differential and pseudodifferential operators. We show that the usual theorem on the regularity of solutions of elliptic equations is not true in these spaces, and we p
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::59433c971c42c5557e00a1f483789002
https://doi.org/10.1070/sm1974v024n04abeh001923
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4
THE INDEX OF RANDOM ELLIPTIC OPERATORS. I
Autor: M A Šubin, Boris Fedosov
Publikováno v: Mathematics of the USSR-Sbornik. 34:671-699
This work is devoted to the construction of a theory of random elliptic operators; formulas are given for calculating the index of such an operator in terms of characteristic classes and the symbol of the operator. Bibliography: 15 titles.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6619155a05d97863322f5cb904767ec5
https://doi.org/10.1070/sm1978v034n05abeh001339
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7
FACTORIZATION OF MATRICES DEPENDING ON A PARAMETER, AND ELLIPTIC EQUATIONS IN A HALFSPACE
Autor: M A Šubin
Publikováno v: Mathematics of the USSR-Sbornik. 14:65-84
In this paper we prove the theorem that every matrix-function on the circle depending on a parameter admits a triangular factorization which is continuous in the parameter. Using this theorem, we manage to construct explicitly a regularizer of the bo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::53cab2742324cb1a68653cd2d772c77c
https://doi.org/10.1070/sm1971v014n01abeh002604
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8
ON ASYMPTOTIC DISTRIBUTION OF EIGENVALUES OF PSEUDODIFFERENTIAL OPERATORS IN $ \mathbf R^n$
Autor: V N Tulovskiĭ, M A Šubin
Publikováno v: Mathematics of the USSR-Sbornik. 21:565-583
This paper is devoted to the study of asymptotic behavior of eigenvalues of a pseudodifferential operator in . With certain conditions imposed on the symbol of the operator, the asymptotics of the eigenvalues, with remainder, is obtained.Bibliography
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::037b09c93deea2c037a84a22d52ac294
https://doi.org/10.1070/sm1973v021n04abeh002036
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10
ON THE INDEX OF FAMILIES OF WIENER-HOPF OPERATORS
Autor: M A Šubin
Publikováno v: Mathematics of the USSR-Sbornik. 13:529-551
A topological formula is obtained for the index of families of convolution operators on the halfline, enabling one to construct a homotopy invariant, depending on dimension, for multidimensional Wiener-Hopf equations on a halfspace and also to obtain
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::daed67bf0d3e2d578a8bbc5a467ba9a4
https://doi.org/10.1070/sm1971v013n04abeh003697
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