Background
Smirnov, Youri Gennadievich was born on March 9, 1962 in Penza, Russia. Son of Gennady Sergeevich and Valentina Ivanovna Smirnov.
(This work presents an extensive overview of logarithmic i...)
This work presents an extensive overview of logarithmic integral operators with kernels depending on one or several complex parameters. Solvability of corresponding boundary value problems and determination of characteristic numbers are analyzed by considering these operators as operator-value functions of appropriate complex (spectral) parameters. Therefore, the method serves as a useful addition to classical approaches. Special attention is given to the analysis of finite-meromorphic operator-valued functions, and explicit formulas for some inverse operators and characteristic numbers are developed, as well as the perturbation technique for the approximate solution of logarithmic integral equations. All essential properties of the generalized single- and double-layer potentials with logarithmic kernels and Green's potentials are considered. Fundamentals of the theory of infinite-matrix summation operators and operator-valued functions are presented, including applications to the solution of logarithmic integral equations. Many boundary value problems for the two-dimensional Helmholtz equation are discussed and explicit formulas for Green's function of canonical domains with separated logarithmic singularities are presented. This book, presenting all necessary references to the spectral theory, should serve as an efficient instrument for the analysis of logarithmic integral equations and will be of value and interest to researchers in the field of mathematical physics, theoretical electromagnetics, integral equations and spectral theory of operators.
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department chairman mathematician
Smirnov, Youri Gennadievich was born on March 9, 1962 in Penza, Russia. Son of Gennady Sergeevich and Valentina Ivanovna Smirnov.
Graduate student, Moscow State University, Russia, 1984. Postgraduate student, Moscow State University, 1987. Master of Science, Moscow State University, 1987.
Doctor of Science, Moscow State University, 1995.
Researcher Moscow State University, 1985—1987. Assistant professor Penza State University, Penza, Russia, 1988—1990, associate professor, 1991—1995, professor, 1996—2001, chief department, since 2002.
(This work presents an extensive overview of logarithmic i...)
Member American Mathematics Society.
Married Elena Pavlovna Trubnikova, March 23, 1996. 1 child, Mikhail.