Boris Rufimovich Vainberg (on his 80th birthday)

Yu. V. Egorov ; A. I. Komech ; P. A. Kuchment ; E. L. Lakshtanov ; V. G. Maz'ya ; S. A. Molchanov ; R. G. Novikov ; M. I. Freidlin

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 74 (2019) no. 1, pp. 181-186

Bibliographie

[1] “Principles of radiation, limit absorption and limit amplitude in the general theory of partial differential equations”, Russian Math. Surveys, 21:3 (1966), 115–193 | DOI | MR | Zbl

[2] “Uniformly nonelliptic problems. I”, Math. USSR-Sb., 1:4 (1967), 543–568 (with V. V. Grushin) | DOI | MR | Zbl

[3] “Uniformly nonelliptic problems. II”, Math. USSR-Sb., 2:1 (1967), 111–133 (with V. V. Grushin) | DOI | MR | Zbl

[4] “On the analytical properties of the resolvent for a certain class of operator-pencils”, Math. USSR-Sb., 6:2 (1968), 241–273 | DOI | MR | Zbl

[5] “On the plane problem of the motion of a body immersed in a fluid”, Trans. Moscow Math. Soc., 28 (1973), 33–55 (with V. G. Maz'ya) | MR | Zbl

[6] “On the problem of the steady-state oscillations of a fluid layer of variable depth”, Trans. Moscow Math. Soc., 28 (1973), 56–73 (with V. Maz'ya) | MR | Zbl

[7] “On the short wave asymptotic behaviour of solutions of stationary problems and the asymptotic behaviour as $t \to \infty$ of solutions of non-stationary problems”, Russian Math. Surveys, 30:2 (1975), 1–58 | DOI | MR | Zbl

[8] “Characteristic Cauchy problem for a hyperbolic equation”, J. Soviet Math., 31:4 (1985), 3135–3147 (with V. G. Maz'ya) | DOI | MR | Zbl

[9] Asimptoticheskie metody v uravneniyakh matematicheskoi fiziki, Izd-vo MGU, M., 1982, 295 pp. | MR | Zbl

[10] “Asymptotic expansion as $t\to\infty$ of the solutions of exterior boundary value problems for hyperbolic equations and quasiclassical approximations”, Partial differential equations V, Encyclopaedia Math. Sci., 34, Springer, Berlin, 1999, 53–89 | DOI | MR | MR | Zbl

[11] Asymptotic methods in equations of mathematical physics, rev. and expand. engl. ed. of [9], Gordon Breach Science Publishers, New York, 1989, viii+498 pp. | MR | Zbl

[12] “Scattering of waves in a medium depending periodically on time”, Méthodes semi-classiques (Nantes, 1991), v. 2, Astérisque, 210, Soc. Math. France, Paris, 1992, 327–340 | MR | Zbl

[13] “On the local energy of solutions of exterior mixed problems that are periodic with respect to $t$”, Trans. Moscow Math. Soc., 1993 (1993), 191–216 | MR | Zbl

[14] “On asymptotic stability of stationary solutions to nonlinear wave and Klein–Gordon equations”, Arch. Rational Mech. Anal., 134:3 (1996), 227–248 (with A. Komech) | DOI | MR | Zbl

[15] “On spectral asymptotics for domains with fractal boundaries”, Comm. Math. Phys., 183:1 (1997), 85–117 (with S. Molchanov) | DOI | MR | Zbl

[16] “On spectral asymptotics for domains with fractal boundaries of cabbage type”, Math. Phys. Anal. Geom., 1:2 (1998), 145–170 (with S. Molchanov) | DOI | MR | Zbl

[17] “Scattering on the system of the sparse bumps: multidimensional case”, Appl. Anal., 71:1-4 (1999), 167–185 (with S. Molchanov) | DOI | MR | Zbl

[18] “On absence of embedded eigenvalues for Schrödinger operators with perturbed periodic potentials”, Comm. Partial Differential Equations, 25:9-10 (2000), 1809–1826 (with P. Kuchment) | DOI | MR | Zbl

[19] “Spectrum of multidimensional Schrödinger operators with sparse potentials”, Analytical and computational methods in scattering and applied mathematics (Newark, DE, 1998), Chapman Hall/CRC Res. Notes Math., 417, Chapman Hall/CRC, Boca Raton, FL, 2000, 231–254 (with S. Molchanov) | MR | Zbl

[20] “First KdV integrals and absolutely continuous spectrum for 1-D Schrödinger operator”, Comm. Math. Phys., 216:1 (2001), 195–213 (with S. Molchanov, M. Novitskii) | DOI | MR | Zbl

[21] “Radiation conditions for the difference Schrödinger operators”, Appl. Anal., 80:3-4 (2001), 525–556 (with W. Shaban) | DOI | MR | Zbl

[22] Linear water waves. A mathematical approach, Cambridge Univ. Press, Cambridge, 2002 (with N. Kuznetsov, V. Maz'ya), xviii+513 pp. | DOI | MR | Zbl

[23] “Quasi 1D localization: deterministic and random potentials”, Markov Process. Related Fields, 9:4 (2003), 687–708 (with W. Kirsh, S. Molchanov, L. Pastur) | MR | Zbl

[24] “Schrödinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum”, J. Funct. Anal., 215:1 (2004), 111–129 (with S. Molchanov) | DOI | MR | Zbl

[25] “Scattering solutions in networks of thin fibers: small diameter asymptotics”, Comm. Math. Phys., 273:2 (2007), 533–559 (with S. Molchanov) | DOI | MR | Zbl

[26] “Laplace operator in networks of thin fibers: spectrum near the threshold”, Stochastic analysis in mathematical physics, World Sci. Publ., Hackensack, NJ, 2008, 69–93 (with S. Molchanov) | DOI | MR | Zbl

[27] “On negative spectrum of Schrödinger type operators”, Analysis, partial differential equations and applications, Oper. Theory Adv. Appl., 193, Birkhäuser Verlag, Basel, 2009, 197–214 (with S. Molchanov) | DOI | MR | Zbl

[28] “Continuous model for homopolymers”, J. Funct. Anal., 256:8 (2009), 2656–2696 (with M. Cranston, L. Koralov, S. Molchanov) | DOI | MR | Zbl

[29] “A solvable model for homopolymers and self-similarity near the critical point”, Random Oper. Stoch. Equ., 18:1 (2010), 73–95 (with M. Cranston, L. Koralov, S. Molchanov) | DOI | MR | Zbl

[30] “On general Cwikel–Lieb–Rozenblum and Lieb–Thirring inequalities”, Around the research of Vladimir Maz'ya. III, Int. Math. Ser. (N. Y.), 13, Springer, New York, 2010, 201–246 (with S. Molchanov) | DOI | MR | Zbl

[31] “Wave propagation in periodic networks of thin fibers”, Waves in Random and Complex Media, 20:2 (2010), 260–275 (with S. Molchanov) | DOI | MR | Zbl

[32] “Propagation of waves in networks of thin fibers”, Integral methods in science and engineering, v. I, Birkhäuser Boston, Inc., Boston, MA, 2010, 255–278 (with S. Molchanov) | DOI | MR | Zbl

[33] “The effect of disorder on the wave propagation in one-dimensional periodic optical systems”, Waves in Random and Complex Media, 21:1 (2011), 135–150 (with Yu. A. Godin, S. Molchanov) | DOI | MR | Zbl

[34] “Non-random perturbations of the Anderson Hamiltonian”, J. Spectr. Theory, 1:2 (2011), 179–195 (with S. Molchanov) | DOI | MR | Zbl

[35] “Scattering of solitons for coupled wave-particle equations”, J. Math. Anal. Appl., 389:2 (2012), 713–740 (with V. Imaykin, A. Komech) | DOI | MR | Zbl

[36] “Bargmann type estimates of the counting function for general Schrödinger operators”, J. Math. Sci. (N. Y.), 184:4 (2012), 457–508 (with S. Molchanov) | DOI | MR | Zbl

[37] “On the negative spectrum of the hierarchical Schrödinger operator”, J. Funct. Anal., 263:9 (2012), 2676–2688 (with S. Molchanov) | DOI | MR | Zbl

[38] “Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potential”, Russ. J. Math. Phys., 20:4 (2013), 438–452 (with Y. A. Godin, S. Molchanov) | DOI | MR | Zbl

[39] “Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem”, Inverse Problems, 29:10 (2013), 104003 (with E. Lakshtanov), 19 pp. | DOI | MR | Zbl

[40] “On mathematical foundation of the Brownian motor theory”, J. Funct. Anal., 267:6 (2014), 1725–1750 (with L. Koralov, S. Molchanov) | DOI | MR | Zbl

[41] “Sharp Weyl law for signed counting function of positive interior transmission eigenvalues”, SIAM J. Math. Anal., 47:4 (2015), 3212–3234 (with E. Lakshtanov) | DOI | MR | Zbl

[42] “On reconstruction of complex-valued once differentiable conductivities”, J. Spectr. Theory, 6:4 (2016), 881–902 (with E. Lakshtanov) | DOI | MR | Zbl

[43] “A global Riemann–Hilbert problem for two-dimensional inverse scattering at fixed energy”, Rend. Inst. Mat. Univ. Trieste, 48 (2016), 21–47 (with E. L. Lakshtanov, R. G. Novikov) | DOI | MR | Zbl

[44] “Spectral analysis of non-local Schrödinger operators”, J. Funct. Anal., 273:3 (2017), 1020–1048 (with Yu. Kondratiev, S. Molchanov) | DOI | MR | Zbl

[45] “Intermittency for branching walks with heavy tails”, Stoch. Dyn., 17:6 (2017), 1750044 (with A. Getan, S. Molchanov), 14 pp. | DOI | MR | Zbl

[46] “Recovery of interior eigenvalues from reduced near field data”, Appl. Anal., 96:15 (2017), 2545–2552 (with E. Lakshtanov) | DOI | MR | Zbl

[47] “Recovery of $L_p$-potential in the plane”, J. Inverse Ill-Posed Probl., 25:5 (2017), 633–651 (with E. Lakshtanov) | DOI | MR | Zbl

[48] “Solution of the initial value problem for the focusing Davey–Stewartson II system”, Differential equations, mathematical physics, and applications. Selim Grigorievich Krein Centennial, Contemp. Math., Amer. Math. Soc., Providence, RI (to appear); 2017 (v1 – 2016) (with E. Lakshtanov), 16 pp., arXiv: 1604.01182