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Mathematical Physics and Its Interactions

In Honor of the 60th Birthday of Tohru Ozawa, Tokyo, Japan, August 2021

  • Conference proceedings
  • © 2024

Overview

Editors:
  1. Shuji Machihara

    1. Department of Mathematics, Saitama University, Saitama, Japan

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  • Makes it possible for reports from a canceled research meeting to see the light of day
  • Includes a rich variety of topics, not limited to nonlinear wave equations
  • Contains contributions by intended speakers at the meeting, top leaders in their fields, and friends of Prof. Ozawa

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 451)

Included in the following conference series:

Conference proceedings info: ICMPI 2021.

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About this book

This publication comprises research papers contributed by the speakers, primarily based on their planned talks at the meeting titled 'Mathematical Physics and Its Interactions,' initially scheduled for the summer of 2021 in Tokyo, Japan. It celebrates Tohru Ozawa's 60th birthday and his extensive contributions in many fields.

The works gathered in this volume explore interactions between mathematical physics, various types of partial differential equations (PDEs), harmonic analysis, and applied mathematics. They are authored by research leaders in these fields, and this selection honors the spirit of the workshop by showcasing cutting-edge results and providing a forward-looking perspective through discussions of problems, with the goal of sha** future research directions.

Originally planned as an in-person gathering, this conference had to change its format due to limitations imposed by COVID, more precisely to avoid inducing people into unnecessary vaccinations.




Keywords

Table of contents (10 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Positive Solutions of Superlinear Elliptic Equations with Respect to the Schrödinger Operator

    • Kentaro Hirata
    Pages 1-34

  3. Convexity Phenomena Arising in an Area-Preserving Crystalline Curvature Flow

    • Tetsuya Ishiwata, Shigetoshi Yazaki
    Pages 35-62

  4. Rate of Convergence for Approximate Solutions in Obstacle Problems for Nonlinear Operators

    • Shigeaki Koike, Takahiro Kosugi
    Pages 63-93

  5. On a Compatibility Condition for the Navier-Stokes Solutions in Maximal \(L^p\)-regularity Class

    • Hideo Kozono, Senjo Shimizu
    Pages 95-117

  6. Asymptotic Behavior in Time of Solution to System of Cubic Nonlinear Schrödinger Equations in One Space Dimension

    • Satoshi Masaki, Jun-Ichi Segata, Kota Uriya
    Pages 119-180

  7. Remarks on Blow up of Solutions of Nonlinear Wave Equations in Friedmann-Lemaître-Robertson-Walker Spacetime

    • Kimitoshi Tsutaya, Yuta Wakasugi
    Pages 181-197

  8. The Frisch–Parisi Formalism for Fluctuations of the Schrödinger Equation

    • Sandeep Kumar, Felipe Ponce-Vanegas, Luz Roncal, Luis Vega
    Pages 199-223

  9. Recent Developments in Spectral Theory for Non-self-adjoint Hamiltonians

    • Lucrezia Cossetti, Luca Fanelli, Nico M. Schiavone
    Pages 225-253

  10. Boussinesq, Schrödinger and Euler-Korteweg

    • Jean-Claude Saut, Li Xu
    Pages 255-282

  11. Representations of Pauli–Fierz Type Models by Path Measures

    • Fumio Hiroshima
    Pages 283-410
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  1. Mathematical Physics and Its Interactions

Editors and Affiliations

  • Department of Mathematics, Saitama University, Saitama, Japan

    Shuji Machihara

About the editor

Shuji Machihara is a currently Professor at Saitama University. He previously held positions at Shimane University.

Bibliographic Information

  • Book Title: Mathematical Physics and Its Interactions

  • Book Subtitle: In Honor of the 60th Birthday of Tohru Ozawa, Tokyo, Japan, August 2021

  • Editors: Shuji Machihara

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-981-97-0364-7

  • Publisher: Springer Singapore

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

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024

  • Hardcover ISBN: 978-981-97-0363-0Published: 04 July 2024

  • Softcover ISBN: 978-981-97-0366-1Due: 04 August 2024

  • eBook ISBN: 978-981-97-0364-7Published: 03 July 2024

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: VIII, 410

  • Number of Illustrations: 28 b/w illustrations, 5 illustrations in colour

  • Topics: Analysis, Functional Analysis, Mathematical Physics

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