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Differential Equations on Manifolds and Mathematical Physics

Dedicated to the Memory of Boris Sternin

  • Book
  • © 2021

Overview

Editors:
  1. Vladimir M. Manuilov

    1. Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia

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  2. Alexander S. Mishchenko

    1. Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia

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  3. Vladimir E. Nazaikinskii

    1. Institute for Problems in Mechanics RAS, Ishlinsky, Moscow, Russia

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  4. Bert-Wolfgang Schulze

    1. Institut für Mathematik, Universität Potsdam, Potsdam, Germany

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  5. Weiping Zhang

    1. Chern Institute of Mathematics, Nankai University, Tianjin, China

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  • Dedicated to Boris Sternin
  • Presents a wide range of papers on PDEs and related topics
  • Written by experts in the field

Part of the book series: Trends in Mathematics (TM)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Parametrix and Localized Solutions for Linearized Equations of Gas Dynamics

    • A. I. Allilueva, A. I. Shafarevich
    Pages 1-10

  3. Laplacians on Generalized Smooth Distributions as C Algebra Multipliers

    • I. Androulidakis, Yu. A. Kordyukov
    Pages 11-30

  4. C* Algebras Generated by Dynamical Systems and Nonlocal ψDO

    • A. B. Antonevich, A. V. Lebedev
    Pages 31-47

  5. Class of Fredholm Boundary Value Problems for the Wave Equation with Conditions on the Entire Boundary

    • A. V. Boltachev, A. Yu. Savin
    Pages 48-59

  6. Some Remarks on Equivariant Elliptic Operators and Their Invariants

    • J. Brüning, K. Richardson
    Pages 60-76

  7. Homogenization of the Cauchy Problem for the Wave Equation with Rapidly Varying Coefficients and Initial Conditions

    • S. Yu. Dobrokhotov, V. E. Nazaikinskii
    Pages 77-102

  8. Resurgent Analysis of Singularly Perturbed Differential Systems: Exit Stokes Enter Tes

    • J. Ecalle
    Pages 103-129

  9. I arge-Time Decay of Solutions of the Damped Kawahara Equation on the

    • A. V. Faminskii, E. V. Martynov
    Pages 130-141

  10. Flat Vector Bundles and Open Covers

    • Huitao Feng, Weiping Zhang
    Pages 142-155

  11. Hochshild’s Method for Describing the Mackenzie Obstruction to Construction of a Transitive Lie Algebroid

    • V. A. Gasimov
    Pages 156-164

  12. Dual Linear Programming Problem and One-Dimensional Gromov Minimal Fillings of Finite Metric Spaces

    • A. O. Ivanov, A. A. Tuzhilin
    Pages 165-182

  13. Complete Semiclassical Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Operators

    • Victor Ivrii
    Pages 183-201

  14. Ellipticity of Operators Associated with Morse–Smale Diffeomorphisms

    • N. R. Izvarina, A. Yu. Savin
    Pages 202-220

  15. On Solutions of Elliptic Equations with Variable Exponents and Measure Data in R

    • L. M. Kozhevnikova
    Pages 221-239

  16. Semiclassical Quantum Maps of Semi-Hyperbolic Type

    • H. Louati, M. Rouleux
    Pages 240-262

  17. Derivations of Group Algebras and Hochschild Cohomology

    • A. S. Mishchenko
    Pages 263-272

  18. On a New Type of Periodic Fronts in Burgers Type Equations with Modular Advection

    • N. N. Nefedov
    Pages 273-286

  19. Mellin Operators in Weighted Corner Spaces

    • B.-W. Schulze
    Pages 287-313

  20. Quantum Hall Effect and Noncommutative Geometry

    • A. G. Sergeev
    Pages 314-326
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Keywords

About this book

This is a volume originating from the Conference on Partial Differential Equations and Applications, which was held in Moscow in November 2018 in memory of professor Boris Sternin and attracted more than a hundred participants from eighteen countries. The conference was mainly dedicated to partial differential equations on manifolds and their applications in mathematical physics, geometry, topology, and complex analysis.


The volume contains selected contributions by leading experts in these fields and presents the current state of the art in several areas of PDE. It will be of interest to researchers and graduate students specializing in partial differential equations, mathematical physics, topology, geometry, and their applications. The readers will benefit from the interplay between these various areas of mathematics.

Editors and Affiliations

  • Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia

    Vladimir M. Manuilov, Alexander S. Mishchenko

  • Institute for Problems in Mechanics RAS, Ishlinsky, Moscow, Russia

    Vladimir E. Nazaikinskii

  • Institut für Mathematik, Universität Potsdam, Potsdam, Germany

    Bert-Wolfgang Schulze

  • Chern Institute of Mathematics, Nankai University, Tianjin, China

    Weiping Zhang

Bibliographic Information

  • Book Title: Differential Equations on Manifolds and Mathematical Physics

  • Book Subtitle: Dedicated to the Memory of Boris Sternin

  • Editors: Vladimir M. Manuilov, Alexander S. Mishchenko, Vladimir E. Nazaikinskii, Bert-Wolfgang Schulze, Weiping Zhang

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-37326-9

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-37325-2Published: 22 January 2022

  • Softcover ISBN: 978-3-030-37328-3Published: 23 January 2023

  • eBook ISBN: 978-3-030-37326-9Published: 21 January 2022

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: X, 338

  • Number of Illustrations: 4 b/w illustrations, 10 illustrations in colour

  • Topics: Ordinary Differential Equations, Partial Differential Equations, Differential Geometry

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