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Volume 5 / No 4 (2010)

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Mathematical Modelling of Natural Phenomena

Volume 5 / No 4 (2010)

Spectral problems. Issue dedicated to the memory of M. Birman
N. Apreutesei, D. Damanik, Yu. Egorov, F. Gesztesy, P. Kurasov, A. Laptev, S. Naboko and V. Vougalter (Eds.)

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Obituary: Mikhail Birman, 17.01.1928 - 2.07.2009 p. 1

M. Solomyak, T. Suslina and D. Yafaev

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105400

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Controllability of a Nonhomogeneous String and Ring under Time Dependent Tension p. 4

S. A. Avdonin, B. P. Belinskiy and L. Pandolfi

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105401

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Discrete Spectrum of the Periodic Schrödinger Operator with a Variable Metric Perturbed by a Nonnegative Potential p. 32

M. Sh. Birman and V. A. Sloushch

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105402

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Recent Results on the Cauchy Problem for Focusing and Defocusing Gross-Pitaevskii Hierarchies p. 54

Thomas Chen and Nataša Pavlović

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105403

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Boundary Data Maps for Schrödinger Operators on a Compact Interval p. 73

S. Clark, F. Gesztesy and M. Mitrea

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105404

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Wave Equation with Slowly Decaying Potential: asymptotics of Solution and Wave Operators p. 122

S. A. Denisov

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105405

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Weak Asymptotics for Schrödinger Evolution p. 150

S. A. Denisov

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105406

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An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups p. 158

Z. Gan

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105407

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Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field p. 175

A. Iantchenko and E. Korotyaev

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105408

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Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation p. 198

M. Keller and D. Lenz

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105409

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Regularity and Blow up for Active Scalars p. 225

A. Kiselev

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105410

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Semiclassical Analysis of the Largest Gap of Quasi-Periodic Schrödinger Operators p. 256

H. Krüger

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105411

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The Algebraic Multiplicity of Eigenvalues and the Evans Function Revisited p. 269

Y. Latushkin and A. Sukhtayev

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105412

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Critical Dimensions for counting Lattice Points in Euclidean Annuli p. 293

L. Parnovski and N. Sidorova

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105413

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Double Operator Integrals and Submajorization p. 317

D. Potapov and F. Sukochev

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105414

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On the GBDT Version of the Bäcklund-Darboux Transformation and its Applications to Linear and Nonlinear Equations and Weyl Theory p. 340

A. Sakhnovich

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105415

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Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev Space H¹ (ℝ^d) p. 390

T. Suslina

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105416

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On Threshold Eigenvalues and Resonances for the Linearized NLS Equation p. 448

V. Vougalter

Published online: 12 May 2010

DOI: https://doi.org/10.1051/mmnp/20105417

Mathematical Modelling of Natural Phenomena

Volume 5 / No 4 (2010)

Spectral problems. Issue dedicated to the memory of M. Birman N. Apreutesei, D. Damanik, Yu. Egorov, F. Gesztesy, P. Kurasov, A. Laptev, S. Naboko and V. Vougalter (Eds.)

Obituary: Mikhail Birman, 17.01.1928 - 2.07.2009 p. 1

Controllability of a Nonhomogeneous String and Ring under Time Dependent Tension p. 4

Discrete Spectrum of the Periodic Schrödinger Operator with a Variable Metric Perturbed by a Nonnegative Potential p. 32

Recent Results on the Cauchy Problem for Focusing and Defocusing Gross-Pitaevskii Hierarchies p. 54

Boundary Data Maps for Schrödinger Operators on a Compact Interval p. 73

Wave Equation with Slowly Decaying Potential: asymptotics of Solution and Wave Operators p. 122

Weak Asymptotics for Schrödinger Evolution p. 150

An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups p. 158

Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field p. 175

Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation p. 198

Regularity and Blow up for Active Scalars p. 225

Semiclassical Analysis of the Largest Gap of Quasi-Periodic Schrödinger Operators p. 256

The Algebraic Multiplicity of Eigenvalues and the Evans Function Revisited p. 269

Critical Dimensions for counting Lattice Points in Euclidean Annuli p. 293

Double Operator Integrals and Submajorization p. 317

On the GBDT Version of the Bäcklund-Darboux Transformation and its Applications to Linear and Nonlinear Equations and Weyl Theory p. 340

Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev Space H1 (ℝd) p. 390

On Threshold Eigenvalues and Resonances for the Linearized NLS Equation p. 448

Spectral problems. Issue dedicated to the memory of M. Birman
N. Apreutesei, D. Damanik, Yu. Egorov, F. Gesztesy, P. Kurasov, A. Laptev, S. Naboko and V. Vougalter (Eds.)

Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev Space H¹ (ℝ^d) p. 390