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:20260404T110957Z UID:NTNU_Nonlinear_Analysis_Seminar/1 DESCRIPTION:Title: Grushin pseudo-multipliers\nby Rahul Ga rg (IISER-Bhopal\, India) as part of Spring 2022 Nonlinear Analysis Semina r Series\n\nLecture held in Room M210 in NTNU Gongguan Campus Mathematics Building.\n\nAbstract\nIn this seminar\, I shall talk about analogues of p seudo-differential operators (pseudo-multipliers) associated with the join t functional calculus of the Grushin operator. In particular\, I shall dis cuss some sufficient conditions on a symbol function\, those which imply $ L^2$-boundedness of the associated Grushin pseudo-multiplier. This talk is based on a joint work (arXiv:2111.10098) with Sayan Bagchi.\n LOCATION:https://stable.researchseminars.org/talk/NTNU_Nonlinear_Analysis_ Seminar/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Andreas Seeger (University of Wisconsin\, Madison) DTSTART:20220412T010000Z DTEND:20220412T020000Z DTSTAMP:20260404T110957Z UID:NTNU_Nonlinear_Analysis_Seminar/2 DESCRIPTION:Title: $L^p$ improving bounds for spherical maxima l operators\nby Andreas Seeger (University of Wisconsin\, Madison) as part of Spring 2022 Nonlinear Analysis Seminar Series\n\nLecture held in R oom M210 in NTNU Gongguan Campus Mathematics Building.\n\nAbstract\nConsid er families of spherical means where the radii are restricted to a given s ubset of a compact interval. One is interested in the $L^p$ improving esti mates for the associated maximal operators and related objects. Results de pend on several notions of fractal dimension of the dilation set\, or subs ets of it. There are some surprising statements on the shape of the possib le type sets. Joint work with J. Roos and with T. Anderson\, K. Hughes and J. Roos.\n LOCATION:https://stable.researchseminars.org/talk/NTNU_Nonlinear_Analysis_ Seminar/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Ritva Hurri-Syrjanen (University of Helsinki) DTSTART:20220426T070000Z DTEND:20220426T080000Z DTSTAMP:20260404T110957Z UID:NTNU_Nonlinear_Analysis_Seminar/3 DESCRIPTION:Title: On Choquet integrals and John domains\n by Ritva Hurri-Syrjanen (University of Helsinki) as part of Spring 2022 No nlinear Analysis Seminar Series\n\nLecture held in Room M210 in NTNU Gongg uan Campus Mathematics Building.\n\nAbstract\nWe consider integrals in the sense of Choquet\nwith respect to the Hausdorff content.\nIn particular\, we discuss the validity of Poincare\, Poincare-Sobolev\,\nand Trudinger t ype inequalities for functions defined\non John domains in this context.\n This is joint work with Petteri Harjulehto.\n LOCATION:https://stable.researchseminars.org/talk/NTNU_Nonlinear_Analysis_ Seminar/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Hideyuki Miura (Tokyo Institute of Technology) DTSTART:20220517T070000Z DTEND:20220517T080000Z DTSTAMP:20260404T110957Z UID:NTNU_Nonlinear_Analysis_Seminar/4 DESCRIPTION:Title: Local regularity conditions on initial data for weak solutions to the incompressible Navier-Stokes equations\nby Hideyuki Miura (Tokyo Institute of Technology) as part of Spring 2022 Nonl inear Analysis Seminar Series\n\nLecture held in Room M210 in NTNU Gonggua n Campus Mathematics Building.\n\nAbstract\nWe consider the regularity of weak solutions to the three dimensional incompressible Navier-Stokes equat ions.\nWe prove that the suitable weak solution is locally regular if a lo cal scaled energy of the initial data is sufficiently small.\nAs an applic ation\, it is shown that if a global weighted L^2 norm of the initial data is finite\,\nthen the weak solution is regular in a region confined by sp ace-time hypersurfaces determined by the weight.\nOur result is also appli ed to studying energy concentration near a possible blow-up time.\nThis ta lk is based on a joint work with Kyungkeun Kang (Yonsei Univ.) and Tai-Pen g Tsai (Univ. British Columbia).\n LOCATION:https://stable.researchseminars.org/talk/NTNU_Nonlinear_Analysis_ Seminar/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Neal Bez (Saitama University) DTSTART:20220524T070000Z DTEND:20220524T080000Z DTSTAMP:20260404T110957Z 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 Anal ysis Seminar Series\n\nLecture held in Room M210 in NTNU Gongguan Campus M athematics Building.\n\nAbstract\nIn this talk I will discuss multilinear Kakeya estimates and the nonlinear Brascamp-Lieb inequality. Both may be v iewed as perturbed versions of the classical version of the Brascamp-Lieb inequality and emerged around 2005 in connection with the multilinear rest riction problem. Progress on these problems has relied heavily on inductio n-on-scales and I will try to give an overview of the main ideas.\n LOCATION:https://stable.researchseminars.org/talk/NTNU_Nonlinear_Analysis_ Seminar/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Sean McCurdy (National Taiwan Normal University) DTSTART:20220503T070000Z DTEND:20220503T080000Z DTSTAMP:20260404T110957Z UID:NTNU_Nonlinear_Analysis_Seminar/6 DESCRIPTION:Title: Elimination of Cusps in a Free Boundary Pro blem for Water Waves\nby Sean McCurdy (National Taiwan Normal Universi ty) as part of Spring 2022 Nonlinear Analysis Seminar Series\n\nLecture he ld in Room M210 in NTNU Gongguan Campus Mathematics Building.\n\nAbstract\ nThe study of a 2-dimensional wave profile of an inviscid\, incompressible fluid acted upon by gravity traveling at constant speed goes back to 1847 and the work of Stokes\, who conjectured that there should exists a one-p arameter family of smooth wave profiles and an extreme wave of maximal hei ght which had a peak with a 120 degree angle. It turns out that a wave pro file in this setting is the free-boundary of a solution to a related free- boundary problem. The first half of this talk will serve as an incomplete and biased introduction to the study of this free boundary problem. Partic ularly\, it will focus upon the ``density methods" developed by Varvaruca and Weiss. The second half of this talk will focus upon the issue of cusp s. The aforementioned ``density methods" are unable to eliminate cusps\, but recent work (joint with Lisa Naples) has recently found a rather simpl e approach to eliminating cusps.\n LOCATION:https://stable.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:20260404T110957Z UID:NTNU_Nonlinear_Analysis_Seminar/7 DESCRIPTION:Title: The Heat Equation With A Dynamic Hardy-Type Singular Potential\nby Jann-Long Chern (National Taiwan Normal Univer sity) as part of Spring 2022 Nonlinear Analysis Seminar Series\n\nLecture held in Room M210 in NTNU Gongguan Campus Mathematics Building.\n\nAbstrac t\nMotivated by the\ncelebrated paper of Baras and\nGoldstein (1984)\,\nin this talk\, we study the heat\nequation with a dynamic Hardy-\ntype singu lar\npotential. In particular\, we are\ninterested in the case where the\n singular\npoint moves in time. Under\nappropriate conditions on the\npoten tial and initial\nvalue\, we show the existence\,\nnon-existence and uniqu eness of\nsolutions\,\nand obtain a sharp lower and\nupper bound near the singular\npoint.\nThis is a joint work with Profs.\nG. Hwang\, J. Takahash i and E.\nYanagida.\n LOCATION:https://stable.researchseminars.org/talk/NTNU_Nonlinear_Analysis_ Seminar/7/ END:VEVENT END:VCALENDAR