BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Rahul Garg (IISER-Bhopal\, India) DTSTART:20220329T070000Z DTEND:20220329T080000Z DTSTAMP:20260422T230722Z UID:NTNU_Nonlinear_Analysis_Seminar/1 DESCRIPTION:Title: Grushin pseudo-multipliers\nby Rahul Garg (IIS ER-Bhopal\, India) as part of Spring 2022 Nonlinear Analysis Seminar Serie s\n\nLecture held in Room M210 in NTNU Gongguan Campus Mathematics Buildin g.\n\nAbstract\nIn this seminar\, I shall talk about analogues of pseudo-d ifferential operators (pseudo-multipliers) associated with the joint funct ional calculus of the Grushin operator. In particular\, I shall discuss so me sufficient conditions on a symbol function\, those which imply $L^2$-bo undedness of the associated Grushin pseudo-multiplier. This talk is based on a joint work (arXiv:2111.10098) with Sayan Bagchi.\n LOCATION:https://researchseminars.org/talk/NTNU_Nonlinear_Analysis_Seminar /1/ END:VEVENT BEGIN:VEVENT SUMMARY:Andreas Seeger (University of Wisconsin\, Madison) DTSTART:20220412T010000Z DTEND:20220412T020000Z DTSTAMP:20260422T230722Z UID:NTNU_Nonlinear_Analysis_Seminar/2 DESCRIPTION:Title: $L^p$ improving bounds for spherical maximal opera tors\nby Andreas Seeger (University of Wisconsin\, Madison) as part of Spring 2022 Nonlinear Analysis Seminar Series\n\nLecture held in Room M21 0 in NTNU Gongguan Campus Mathematics Building.\n\nAbstract\nConsider fami lies of spherical means where the radii are restricted to a given subset o f a compact interval. One is interested in the $L^p$ improving estimates f or the associated maximal operators and related objects. Results depend on several notions of fractal dimension of the dilation set\, or subsets of it. There are some surprising statements on the shape of the possible type sets. Joint work with J. Roos and with T. Anderson\, K. Hughes and J. Roo s.\n LOCATION:https://researchseminars.org/talk/NTNU_Nonlinear_Analysis_Seminar /2/ END:VEVENT BEGIN:VEVENT SUMMARY:Ritva Hurri-Syrjanen (University of Helsinki) DTSTART:20220426T070000Z DTEND:20220426T080000Z DTSTAMP:20260422T230722Z UID:NTNU_Nonlinear_Analysis_Seminar/3 DESCRIPTION:Title: On Choquet integrals and John domains\nby Ritv a Hurri-Syrjanen (University of Helsinki) as part of Spring 2022 Nonlinear Analysis Seminar Series\n\nLecture held in Room M210 in NTNU Gongguan Cam pus Mathematics Building.\n\nAbstract\nWe consider integrals in the sense of Choquet\nwith respect to the Hausdorff content.\nIn particular\, we dis cuss the validity of Poincare\, Poincare-Sobolev\,\nand Trudinger type ine qualities for functions defined\non John domains in this context.\nThis is joint work with Petteri Harjulehto.\n LOCATION:https://researchseminars.org/talk/NTNU_Nonlinear_Analysis_Seminar /3/ END:VEVENT BEGIN:VEVENT SUMMARY:Hideyuki Miura (Tokyo Institute of Technology) DTSTART:20220517T070000Z DTEND:20220517T080000Z DTSTAMP:20260422T230722Z UID:NTNU_Nonlinear_Analysis_Seminar/4 DESCRIPTION:Title: Local regularity conditions on initial data for we ak solutions to the incompressible Navier-Stokes equations\nby Hideyuk i Miura (Tokyo Institute of Technology) as part of Spring 2022 Nonlinear A nalysis Seminar Series\n\nLecture held in Room M210 in NTNU Gongguan Campu s Mathematics Building.\n\nAbstract\nWe consider the regularity of weak so lutions to the three dimensional incompressible Navier-Stokes equations.\n We prove that the suitable weak solution is locally regular if a local sca led energy of the initial data is sufficiently small.\nAs an application\, it is shown that if a global weighted L^2 norm of the initial data is fin ite\,\nthen the weak solution is regular in a region confined by space-tim e hypersurfaces determined by the weight.\nOur result is also applied to s tudying energy concentration near a possible blow-up time.\nThis talk is b ased on a joint work with Kyungkeun Kang (Yonsei Univ.) and Tai-Peng Tsai (Univ. British Columbia).\n LOCATION:https://researchseminars.org/talk/NTNU_Nonlinear_Analysis_Seminar /4/ END:VEVENT BEGIN:VEVENT SUMMARY:Neal Bez (Saitama University) DTSTART:20220524T070000Z DTEND:20220524T080000Z DTSTAMP:20260422T230722Z UID:NTNU_Nonlinear_Analysis_Seminar/5 DESCRIPTION:Title: Stability of the Brascamp-Lieb inequality\nby Neal Bez (Saitama University) as part of Spring 2022 Nonlinear Analysis Se minar Series\n\nLecture held in Room M210 in NTNU Gongguan Campus Mathemat ics Building.\n\nAbstract\nIn this talk I will discuss multilinear Kakeya estimates and the nonlinear Brascamp-Lieb inequality. Both may be viewed a s perturbed versions of the classical version of the Brascamp-Lieb inequal ity and emerged around 2005 in connection with the multilinear restriction problem. Progress on these problems has relied heavily on induction-on-sc ales and I will try to give an overview of the main ideas.\n LOCATION:https://researchseminars.org/talk/NTNU_Nonlinear_Analysis_Seminar /5/ END:VEVENT BEGIN:VEVENT SUMMARY:Sean McCurdy (National Taiwan Normal University) DTSTART:20220503T070000Z DTEND:20220503T080000Z DTSTAMP:20260422T230722Z UID:NTNU_Nonlinear_Analysis_Seminar/6 DESCRIPTION:Title: Elimination of Cusps in a Free Boundary Problem fo r Water Waves\nby Sean McCurdy (National Taiwan Normal University) as part of Spring 2022 Nonlinear Analysis Seminar Series\n\nLecture held in R oom M210 in NTNU Gongguan Campus Mathematics Building.\n\nAbstract\nThe st udy of a 2-dimensional wave profile of an inviscid\, incompressible fluid acted upon by gravity traveling at constant speed goes back to 1847 and th e work of Stokes\, who conjectured that there should exists a one-paramete r family of smooth wave profiles and an extreme wave of maximal height whi ch had a peak with a 120 degree angle. It turns out that a wave profile in this setting is the free-boundary of a solution to a related free-boundar y problem. The first half of this talk will serve as an incomplete and bia sed introduction to the study of this free boundary problem. Particularly\ , it will focus upon the ``density methods" developed by Varvaruca and Wei ss. The second half of this talk will focus upon the issue of cusps. The aforementioned ``density methods" are unable to eliminate cusps\, but rec ent work (joint with Lisa Naples) has recently found a rather simple appro ach to eliminating cusps.\n LOCATION:https://researchseminars.org/talk/NTNU_Nonlinear_Analysis_Seminar /6/ END:VEVENT BEGIN:VEVENT SUMMARY:Jann-Long Chern (National Taiwan Normal University) DTSTART:20220510T070000Z DTEND:20220510T080000Z DTSTAMP:20260422T230722Z UID:NTNU_Nonlinear_Analysis_Seminar/7 DESCRIPTION:Title: The Heat Equation With A Dynamic Hardy-Type Singul ar Potential\nby Jann-Long Chern (National Taiwan Normal University) a s part of Spring 2022 Nonlinear Analysis Seminar Series\n\nLecture held in Room M210 in NTNU Gongguan Campus Mathematics Building.\n\nAbstract\nMoti vated by the\ncelebrated paper of Baras and\nGoldstein (1984)\,\nin this t alk\, we study the heat\nequation with a dynamic Hardy-\ntype singular\npo tential. In particular\, we are\ninterested in the case where the\nsingula r\npoint moves in time. Under\nappropriate conditions on the\npotential an d initial\nvalue\, we show the existence\,\nnon-existence and uniqueness o f\nsolutions\,\nand obtain a sharp lower and\nupper bound near the singula r\npoint.\nThis is a joint work with Profs.\nG. Hwang\, J. Takahashi and E .\nYanagida.\n LOCATION:https://researchseminars.org/talk/NTNU_Nonlinear_Analysis_Seminar /7/ END:VEVENT END:VCALENDAR