03833nam a22004575i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153072001700167072002300184072001600207245017400223250001800397264007200415300006500487336002600552337002600578338003600604347002400640490007200664505113100736520098501867650002802852650002502880650002602905650002802931650002502959650002602984700007903010710003403089773002603123776003603149776003603185776003603221830007203257856004603329978-981-97-0364-7DE-He21320251030112612.0cr nn 008mamaa240703s2024    si |    s    |||| 0|eng d  a97898197036477 a10.1007/978-981-97-0364-72doi 4aQA370-380 7aPBKJ2bicssc 7aMAT0070002bisacsh 7aPBKJ2thema10aMathematical Physics and Its Interactionsh[electronic resource] :bIn Honor of the 60th Birthday of Tohru Ozawa, Tokyo, Japan, August 2021 /cedited by Shuji Machihara.  a1st ed. 2024. 1aSingapore :bSpringer Nature Singapore :bImprint: Springer,c2024.  aVIII, 410 p. 33 illus., 5 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSpringer Proceedings in Mathematics & Statistics,x2194-1017 ;v4510 aF. 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 Schrödinger 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-Lemaˆıtre-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 Schrödinger 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.  aThis 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. 0aDifferential equations. 0aFunctional analysis. 0aMathematical physics.14aDifferential Equations.24aFunctional Analysis.24aMathematical Physics.1 aMachihara, Shuji.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978981970363008iPrinted edition:z978981970365408iPrinted edition:z9789819703661 0aSpringer Proceedings in Mathematics & Statistics,x2194-1017 ;v45140uhttps://doi.org/10.1007/978-981-97-0364-7