About 70 scientific publications with results in the following fields: Methods of summation of divergent series, a theorem on the consistence (1953–54). Partial differential equations with constant coefficients, the existence of solutions and the construction of general solutions in some classes of usual functions and distributions, atest for smoothness of a d eneralized solution in a bounded domain (1958–61). General boundary value problems for elliptic systems, the equivalence of the ellipticity and of the Fredholm property of pseudodifferential boundary value problems; relative index theorems; the unique solvability of problems elliptic with parameter (1962–65). General mixed boundary value problems for parabolic systems in a cylindrical domain, the unique solvability (1963–67). Positive boundary value problems for symmetric and symmetrizable first order systems, the Fredholm property and the unique solvability (1966–69). General mixed boundary value problem for hyperbolic first order systems in a cylindrical domain with the uniform Lopatinskii condition, the development of the results due to Kreiss on the unique solvability (1971–72). Non-standard spectral problems for the Helmholtz equation and the Maxwell system, the basis property of the eigenfunctions and the completeness of the root functions, the localization and the asymptotic behavior of eigenvalues (1973–77). Non-self-adjoint operators that are weak perturbations of self-adjoint ones and operators far from being self-adjoint, the summability of Fourier series with respect to the root functions and the behavior of the eigenvalues (1976–92). Elliptic pseudo-differential operators on a closed curve, similarity transforms and asymptotic series for the eigenvalues and the eigenfunctions (1979–84). Relations between functions of an elliptic pseudodifferential operator, the asymptotics of the kernel of the resolvent with logarithmic terms, spectral asymptotics (1987–92). Spectral elliptic boundary value problems in Lipschitz domains, the investigation of the spectrum and the properties of the eigenfunctions and the root functions (the smoothness, the completeness and the basis property) (1994–2001). The analysis of the spectral approaches to the construction of the $R$-matrix for the Schrodinger equation and the Dirac system (2001). Collaborated and wrote common papers with the following mathematicians: M. I. Vishik, A. S. Dynin, Z. N. Golubeva, A. S. Markus, B. A. Amosov, M. Faierman, R. Denk, R. Mennicken, M. Levitin. Common book with physicists B. Z. Katsenelenbaum, A. N. Sivov, and N. N. Voitovich. See details in the note in Russian Mathematical Surveys, 2001, 56(4), 163–168. Variational elliptic boundary value problems in Lipschitz domains.
Spectral problems.
Pseudodifferential operators with nonsmooth symbols or kernels.
Biography
Graduated from the Department of Mechanics and Mathematics of Moscow State University in 1953. The M.Sc. thesis was supervised by D. E. Men'shov. In 1953–60, worked as an editor in the Department of Mathematics of the Publishing House of Foreign Literature. Simultaneously, was an external postgraduate student under supervision first by D. E. Men'shov and later by G. E. Shilov (1954–58). Was the editor of the three well-known books by I. M. Gelfand and G. E. Shilov on generalized functions (1958–59). Defended the Ph.D. thesis in 1959. Since 1961, taught first in All-Union Institute of Mechanical Engineering, since 1962 in Moscow Institute of Electronic Engineering, renamed later Moscow Institute of Electronics and Mathematics (MIEM). Defended the Doctoral Sci. thesis in 1966. Professor since 1970. Head of the Chair of Mathematical Analysis in 1992–98. Member of the Editorial Board of the journal "Functional Analysis and its Applications" since 1967, deputy editor since 1991. Member of the Editorial Board of "Russian Journal of Mathematical Physics" since 1993. After 1989, gave many talks on mathematical seminars and conferences abroad.
A member of the New York Academy of Sciences.
Main publications:
M. C. Agranovich, “Spektralnye zadachi dlya silno ellipticheskikh sistem vtorogo poryadka v oblastyakh s gladkoi i negladkoi granitsei”, UMN, 57:5 (2002), 3–78
M. C. Agranovich, “Operatory tipa potentsiala i zadachi sopryazheniya dlya silno ellipticheskikh sistem 2-go poryadka v oblastyakh s lipshitsevoi granitsei”, Funktsionalnyi analiz i ego prilozheniya, 43:3 (2009), 3–25
M. S. Agranovich, A. M. Selitskii, “Fractional Powers of Operators Corresponding to Coercive Problems in Lipschitz Domains”, Funktsional. Anal. i Prilozhen., 47:2 (2013), 2–17; Funct. Anal. Appl., 47:2 (2013), 83–95
M. S. Agranovich, “Mixed Problems in a Lipschitz Domain for Strongly Elliptic Second-Order Systems”, Funktsional. Anal. i Prilozhen., 45:2 (2011), 1–22; Funct. Anal. Appl., 45:2 (2011), 81–98
M. S. Agranovich, “Strongly Elliptic Second-Order Systems with Boundary Conditions on a Nonclosed Lipschitz Surface”, Funktsional. Anal. i Prilozhen., 45:1 (2011), 1–15; Funct. Anal. Appl., 45:1 (2011), 1–12
M. S. Agranovich, “Potential Type Operators and Transmission Problems for Strongly Elliptic Second-Order Systems in Lipschitz Domains”, Funktsional. Anal. i Prilozhen., 43:3 (2009), 3–25; Funct. Anal. Appl., 43:3 (2009), 165–183
M. S. Agranovich, “Spectral Boundary Value Problems in Lipschitz Domains for Strongly Elliptic Systems in Banach Spaces $H_p^\sigma$ and $B_p^\sigma$”, Funktsional. Anal. i Prilozhen., 42:4 (2008), 2–23; Funct. Anal. Appl., 42:4 (2008), 249–267
M. S. Agranovich, “To the Theory of the Dirichlet and Neumann Problems for Strongly Elliptic Systems in Lipschitz Domains”, Funktsional. Anal. i Prilozhen., 41:4 (2007), 1–21; Funct. Anal. Appl., 41:4 (2007), 247–263
M. S. Agranovich, “Regularity of Variational Solutions to Linear Boundary Value Problems in Lipschitz Domains”, Funktsional. Anal. i Prilozhen., 40:4 (2006), 83–103; Funct. Anal. Appl., 40:4 (2006), 313–329
M. S. Agranovich, G. V. Rozenblum, “Spectral boundary problems for Dirac systems with a singular potential”, Algebra i Analiz, 16:1 (2004), 33–69; St. Petersburg Math. J., 16:1 (2005), 25–57
M. S. Agranovich, “Spectral problems for second-order strongly elliptic systems in smooth and non-smooth domains”, Uspekhi Mat. Nauk, 57:5(347) (2002), 3–78; Russian Math. Surveys, 57:5 (2002), 847–920
M. S. Agranovich, “Spectral Problems for the Dirac System with Spectral Parameter in Local Boundary Conditions”, Funktsional. Anal. i Prilozhen., 35:3 (2001), 1–18; Funct. Anal. Appl., 35:3 (2001), 161–175
M. S. Agranovich, R. Mennicken, “Spectral boundary value problems for the Helmholtz equation with spectral parameter in boundary conditions on a non-smooth surface”, Mat. Sb., 190:1 (1999), 29–68; Sb. Math., 190:1 (1999), 29–69
M. S. Agranovich, B. A. Amosov, “Estimates of $s$-Numbers and Spectral Asymptotics for Integral Operators of Potential Type on Nonsmooth Surfaces”, Funktsional. Anal. i Prilozhen., 30:2 (1996), 1–18; Funct. Anal. Appl., 30:2 (1996), 75–89
M. S. Agranovich, “On Series with Respect to Root Vectors of Operators Associated with Forms Having Symmetric Principal Part”, Funktsional. Anal. i Prilozhen., 28:3 (1994), 1–21; Funct. Anal. Appl., 28:3 (1994), 151–167
M. S. Agranovich, “On modules of eigenvalues for non-self-adjoint agmon–Douglis–Nirenberg elliptic boundary problems with a parameter”, Funktsional. Anal. i Prilozhen., 26:2 (1992), 51–55; Funct. Anal. Appl., 26:2 (1992), 116–119
M. S. Agranovich, “Non-self-adjoint problems with a parameter that are elliptic in the sense of Agmon–Douglis–Nirenberg”, Funktsional. Anal. i Prilozhen., 24:1 (1990), 59–61; Funct. Anal. Appl., 24:1 (1990), 50–53
M. S. Agranovich, B. A. Amosov, “Elliptic pseudodifferential matrix operators on a closed curve”, Funktsional. Anal. i Prilozhen., 15:3 (1981), 79–81; Funct. Anal. Appl., 15:3 (1981), 217–219
M. S. Agranovich, “Spectral properties of elliptic pseudodifferential operators on a closed curve”, Funktsional. Anal. i Prilozhen., 13:4 (1979), 54–56; Funct. Anal. Appl., 13:4 (1979), 279–281
M. S. Agranovich, “Series in the root vectors of operators that are very close to being self-adjoint”, Funktsional. Anal. i Prilozhen., 11:4 (1977), 65–67; Funct. Anal. Appl., 11:4 (1977), 296–299
M. S. Agranovich, Z. N. Golubeva, “Some problems for Maxwell's system with a spectral parameter in the boundary condition”, Dokl. Akad. Nauk SSSR, 231:4 (1976), 777–780
M. S. Agranovich, “Summability of series in root vectors of non-self-adjoint elliptic operators”, Funktsional. Anal. i Prilozhen., 10:3 (1976), 1–12; Funct. Anal. Appl., 10:3 (1976), 165–174
M. S. Agranovich, “Theorem on matrices depending on parameters and its applications to hyperbolic systems”, Funktsional. Anal. i Prilozhen., 6:2 (1972), 1–11; Funct. Anal. Appl., 6:2 (1972), 85–93
M. S. Agranovich, “Boundary value problrms for systems of first order pseudodifferential operators”, Uspekhi Mat. Nauk, 24:1(145) (1969), 61–125; Russian Math. Surveys, 24:1 (1969), 59–126
M. S. Agranovich, “Positive boundary value problems for pseudodifferential operators of first order”, Funktsional. Anal. i Prilozhen., 2:1 (1968), 90–91; Funct. Anal. Appl., 2:1 (1968), 83–84
M. S. Agranovich, V. V. Sukhorutchenko, “The necessity of the algebraic parabolicity conditions of nonstationary problems”, Mat. Zametki, 2:6 (1967), 615–625; Math. Notes, 2:6 (1967), 864–869
M. S. Agranovich, “On the theory of boundary problems for symmetrizable systems of first order”, Mat. Sb. (N.S.), 73(115):2 (1967), 161–197; Math. USSR-Sb., 2:2 (1967), 143–171
M. S. Agranovich, M. I. Vishik, “Elliptic problems with a parameter and parabolic problems of general type”, Uspekhi Mat. Nauk, 19:3(117) (1964), 53–161; Russian Math. Surveys, 19:3 (1964), 53–157
M. S. Agranovich, A. S. Dynin, “General boundary-value problems for elliptic systems in higher-dimensional regions”, Dokl. Akad. Nauk SSSR, 146:3 (1962), 511–514
M. S. Agranovich, “Some general formulae for the solution of partial differential equations with constant coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 1958, no. 4, 3–20
1954
44.
M. S. Agranovich, “On the consistency of several methods of summation”, Uch. Zap. Mosk. Gos. Univ., 165 (1954), 169–194
M. S. Agranovich, A. V. Babin, A. S. Demidov, Yu. A. Dubinskii, A. I. Komech, S. B. Kuksin, A. P. Kuleshov, V. P. Maslov, S. P. Novikov, V. M. Tikhomirov, A. V. Fursikov, V. V. Chepyzhov, A. I. Shnirelman, M. A. Shubin, G. I. Eskin, “Marko Iosifovich Vishik (obituary)”, Uspekhi Mat. Nauk, 68:2(410) (2013), 197–200; Russian Math. Surveys, 68:2 (2013), 383–387
2012
46.
M. S. Agranovich, L. A. Aizenberg, G. L. Alfimov, M. I. Vishik, T. Voronov, A. V. Karabegov, M. V. Karasev, A. A. Komech, V. P. Maslov, V. V. Pukhnachov, D. E. Tamarkin, N. N. Tarkhanov, B. L. Tsygan, M. A. Shubin, “Boris Vasil'evich Fedosov (obituary)”, Uspekhi Mat. Nauk, 67:1(403) (2012), 169–176; Russian Math. Surveys, 67:1 (2012), 167–174
M. S. Agranovich, I. V. Astashova, L. A. Bagirov, V. V. Vlasov, V. V. Zhikov, Yu. S. Ilyashenko, V. V. Kozlov, A. A. Kon'kov, S. I. Pokhozhaev, E. V. Radkevich, N. Kh. Rozov, I. N. Sergeev, A. L. Skubachevskii, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Vladimir Alexandrovich Kondratiev. July 2, 1935 – March 11, 2010”, CMFD, 39 (2011), 5–10; Journal of Mathematical Sciences, 190:1 (2013), 1–7
2010
48.
M. S. Agranovich, V. M. Buchstaber, R. S. Ismagilov, B. S. Kashin, B. S. Mityagin, S. P. Novikov, V. A. Sadovnichii, A. G. Sergeev, Ya. G. Sinai, A. A. Shkalikov, “Anatolii Gordeevich Kostyuchenko (obituary)”, Uspekhi Mat. Nauk, 65:4(394) (2010), 179–190; Russian Math. Surveys, 65:4 (2010), 767–780
2008
49.
M. S. Agranovich, Yu. D. Burago, B. R. Vainberg, M. I. Vishik, S. G. Gindikin, V. A. Kondrat'ev, V. P. Maslov, S. V. Poborchi, Yu. G. Reshetnyak, V. P. Khavin, M. A. Shubin, “Vladimir Gilelevich Maz'ya (to his 70th brithday)”, Uspekhi Mat. Nauk, 63:1(379) (2008), 183–189; Russian Math. Surveys, 63:1 (2008), 189–196
M. S. Agranovich, A. I. Aptekarev, A. L. Afendikov, N. D. Vvedenskaya, M. I. Vishik, S. G. Gindikin, M. M. Malamud, B. P. Paneah, E. V. Radkevich, V. M. Tikhomirov, A. R. Shirikyan, “Leonid Romanovich Volevich (obituary)”, Uspekhi Mat. Nauk, 62:6(378) (2007), 157–160; Russian Math. Surveys, 62:6 (2007), 1187–1190
2004
51.
M. S. Agranovich, A. I. Aptekarev, N. D. Vvedenskaya, M. I. Vishik, S. G. Gindikin, A. M. Il'in, V. P. Maslov, M. M. Malamud, B. P. Paneah, V. M. Tikhomirov, A. R. Shirikyan, “Leonid Romanovich Volevich (on his 70th birthday)”, Uspekhi Mat. Nauk, 59:5(359) (2004), 175–182; Russian Math. Surveys, 59:5 (2004), 991–1000
1999
52.
M. S. Agranovich, V. I. Arnol'd, D. G. Vasil'ev, M. I. Vishik, I. M. Gel'fand, A. G. Kostyuchenko, L. D. Kudryavtsev, “Victor Borisovich Lidskii (on his 75th birthday)”, Uspekhi Mat. Nauk, 54:5(329) (1999), 197–203; Russian Math. Surveys, 54:5 (1999), 1077–1085
1997
53.
M. S. Agranovich, A. V. Babin, L. R. Volevich, A. Yu. Goritskii, A. S. Demidov, Yu. A. Dubinskii, A. I. Komech, M. L. Krasnov, S. B. Kuksin, G. I. Makarenko, V. P. Maslov, V. M. Tikhomirov, A. V. Fursikov, V. V. Chepyzhov, A. I. Shnirel'man, M. A. Shubin, “Mark Iosifovich Vishik (on his 75th birthday)”, Uspekhi Mat. Nauk, 52:4(316) (1997), 225–232; Russian Math. Surveys, 52:4 (1997), 853–861
1982
54.
M. S. Agranovich, I. M. Gel'fand, Yu. A. Dubinskii, O. A. Oleinik, S. L. Sobolev, M. A. Shubin, “Mark Iosifovich Vishik (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 37:4(226) (1982), 213–220; Russian Math. Surveys, 37:4 (1982), 175–184