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Advances in Harmonic Analysis and Partial Differential Equations

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Vladimir Georgiev

    1. Department of Mathematics, University of Pisa, Pisa, Italy

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  2. Tohru Ozawa

    1. Department of Applied Physics, Waseda University, Tokyo, Japan

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  3. Michael Ruzhansky

    1. Department of Mathematics, Ghent University, Gent, Belgium

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  4. Jens Wirth

    1. Department of Mathematics, University of Stuttgart, Stuttgart, Germany

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  • Provides original contributions from leading experts
  • Focusses on the interaction of different fields
  • Allows expert researchers as well as postgraduate students to grasp new ideas

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

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Table of contents (13 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Local Smoothing of Fourier Integral Operators and Hermite Functions

    • Ramesh Manna, P. K. Ratnakumar
    Pages 1-35

  3. On (λ, μ)-Classes on the Engel Group

    • Marianna Chatzakou
    Pages 37-49

  4. Gelfand Triples for the Kohn–Nirenberg Quantization on Homogeneous Lie Groups

    • Jonas Brinker, Jens Wirth
    Pages 51-97

  5. A Multiplicity Result for a Non-Homogeneous Subelliptic Problem with Sobolev Exponent

    • Annunziata Loiudice
    Pages 99-120

  6. The Dixmier Trace and the Noncommutative Residue for Multipliers on Compact Manifolds

    • Duván Cardona, CĂ©sar Del Corral
    Pages 121-163

  7. On the Focusing Energy-Critical 3D Quintic Inhomogeneous NLS

    • Yonggeun Cho, Kiyeon Lee
    Pages 165-195

  8. Lifespan of Solutions to Nonlinear Schrödinger Equations with General Homogeneous Nonlinearity of the Critical Order

    • Hayato Miyazaki, Motohiro Sobajima
    Pages 197-207

  9. Spectral Theory for Magnetic Schrödinger Operators in Exterior Domains with Exploding and Oscillating Long-Range Potentials

    • Kiyoshi Mochizuki
    Pages 209-244

  10. Simple Proof of the Estimate of Solutions to Schrödinger Equations with Linear and Sub-linear Potentials in Modulation Spaces

    • Keiichi Kato
    Pages 245-251

  11. Remark on Asymptotic Order for the Energy Critical Nonlinear Damped Wave Equation to the Linear Heat Equation via the Strichartz Estimates

    • Takahisa Inui
    Pages 253-262

  12. On Uniqueness for the Generalized Choquard Equation

    • Vladimir Georgiev, George Venkov
    Pages 263-278

  13. Characterization of the Ground State to the Intercritical NLS with a Linear Potential by the Virial Functional

    • Masaru Hamano, Masahiro Ikeda
    Pages 279-307

  14. Well-Posedness for a Generalized Klein-Gordon-Schrödinger Equations

    • Jishan Fan, Tohru Ozawa
    Pages 309-317
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Keywords

About this book

This book originates from the session "Harmonic Analysis and Partial Differential Equations" held at the 12th ISAAC Congress in Aveiro, and provides a quick overview over recent advances in partial differential equations with a particular focus on the interplay between tools from harmonic analysis, functional inequalities and variational characterisations of solutions to particular non-linear PDEs. It can serve as a useful source of information to mathematicians, scientists and engineers. 
The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.

Editors and Affiliations

  • Department of Mathematics, University of Pisa, Pisa, Italy

    Vladimir Georgiev

  • Department of Applied Physics, Waseda University, Tokyo, Japan

    Tohru Ozawa

  • Department of Mathematics, Ghent University, Gent, Belgium

    Michael Ruzhansky

  • Department of Mathematics, University of Stuttgart, Stuttgart, Germany

    Jens Wirth

Bibliographic Information

  • Book Title: Advances in Harmonic Analysis and Partial Differential Equations

  • Editors: Vladimir Georgiev, Tohru Ozawa, Michael Ruzhansky, Jens Wirth

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-58215-9

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-58214-2Published: 07 November 2020

  • Softcover ISBN: 978-3-030-58217-3Published: 07 November 2021

  • eBook ISBN: 978-3-030-58215-9Published: 07 November 2020

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: X, 317

  • Number of Illustrations: 3 b/w illustrations, 2 illustrations in colour

  • Topics: Analysis, Abstract Harmonic Analysis, Operator Theory

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