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Mathematical Physics and Its Interactions, 1 Ed.
出版済み 3週間でお届けいたします。
In Honor of the 60th Birthday of Tohru Ozawa, Tokyo, Japan, August 2021 Series: Springer Proceedings in Mathematics & Statistics, Vol.451 Author: Shuji Machihara Publisher: Springer ISBN: 9789819703630 Cover: HARDCOVER Date: 2024年07月 DESCRIPTION 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 shaping 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. TABLE OF CONTENTS F. Hiroshima Representations of Pauli-Fierz type models J.-C. Saut and Li Xu, B. Schrodinger and Euler-Korteweg S. Masaki, J.-I. Segata, and K. Uriya Asymptotic Behavior in Time of Solution to System of Cubic Nonlinear Schrodinger Equations in One Space Dimension K. Hirata Positive Solutions Of Superlinear Elliptic Equations with Respect to The Schro?dinger Operator H. Kozono and S. Shimizu On a Compatibility Condition for the Navier-Stokes Solutions in Maximal Lp-Regularity Class K. Tsutaya and Y. Wakasugi Remarks on blow up of solutions of nonlinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime L. Cossetti, L. Fanelli and N. M. Schiavone Recent developments in spectral theory for non-self-adjoint Hamiltonians S. Kumar Cunef, F. Ponce-Vanegas, L. Roncal, L. Vega The Frisch-Parisi Formalism for Fluctuations of The Schro?dinger Equation S. Koike and T. Kosugi Rate of convergence for approximate solutions in obstacle problems for nonlinear operators T. Ishiwata and S. Yazaki Convexity phenomena arising in an area-preserving crystalline curvature flow
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