On the mathematical work of M. Sh. Birman

DOI10.1090/S1061-0022-2011-01184-7zbMath1236.01029OpenAlexW1971144341MaRDI QIDQ3119069

Tatiana Suslina, Michael Solomyak, Dimitri Yafaev

Publication date: 7 March 2012

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2011-01184-7

zbMATH Keywords

spectral theoryspectral asymptoticsscattering theorybiographyfunction spaces

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Scattering theory for PDEs (35P25) Spectrum, resolvent (47A10) Applications of operator theory to differential and integral equations (47N20) History of operator theory (47-03) History of partial differential equations (35-03) Maxwell equations (35Q61) Partial differential equations of mathematical physics and other areas of application (35Qxx) Linear function spaces and their duals (46Exx)

Related Items (1)

On the mathematical work of Mikhail Zakharovich Solomyak

Cites Work

• Two-sided estimates for the trace of the difference of two semigroups
• The discrete spectrum in the gaps of a second-order perturbed periodic operator
• The nuclear method in potential scattering theory
• Construction in a piecewise smooth domain of a function of the class \(H^ 2\) from the value of the conormal derivative
• The limit absorption principle and homogenization procedure for periodic elliptic operators
• Maxwell operator in regions with nonsmooth boundaries
• The periodic Dirac operator is absolutely continuous
• Size of the set of singular points on the boundary of a non-Smirnov domain
• Estimates for the difference of fractional powers of selfadjoint operators in the case of unbounded perturbations
• Linear and complex analysis problem book 3. Part 1
• Discrete spectrum of the perturbed Dirac operator
• Three problems in the mechanics of continua in polyhedra
• The negative discrete spectrum of the operator \((-\Delta)^ l-\alpha V\) in \(L_ 2(\mathbb{R}^ d)\) for \(d\) even and \(2l\geq d\)
• Spectral shift function, amazing and multifaceted
• Double operator integrals in a Hilbert space
• Discrete spectrum in the gaps of a perturbed pseudorelativistic Hamiltonian
• Global solvability of the Cauchy-Dirichlet problem for the class of nondiagonal parabolic systems with \(q\)-nonlinearity in the gradient, \(1< q< 2\)
• Tensor product of a finite number of spectral measures is always a spectral measure
• Homogenization of the stationary periodic Maxwell system in the case of constant permeability
• Discrete Spectrum of the Periodic Schrödinger Operator with a Variable Metric Perturbed by a Nonnegative Potential
• Homogenization of Periodic Differential Operators as a Spectral Threshold Effect
• L₂-Theory of the Maxwell operator in arbitrary domains
• Schrödinger operator. Estimates for number of bound states as function-theoretical problem
• On the Eigenvalue Behaviour for a Class of Differential Operators on Semiaxis
• Olga Aleksandrovna Ladyzhenskaya (obituary)
• Mikhail Semenovich Agranovich (on his 70th birthday)
• Mikhail Zakharovich Solomyak (on his sixtieth birthday)
• [https://portal.mardi4nfdi.de/wiki/Publication:4893803 The negative discrete spectrum of a two-dimensional Schr�dinger operator]
• PIECEWISE-POLYNOMIAL APPROXIMATIONS OF FUNCTIONS OF THE CLASSES $ W_{p}^{\alpha}$
• On the negative discrete spectrum of a periodic elliptic operator in a waveguide-type domain, perturbed by a decaying potential.
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