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SUMMARY:Jie Xiao (Memorial University of Newfoundland)
DTSTART;VALUE=DATE-TIME:20220913T010000Z
DTEND;VALUE=DATE-TIME:20220913T020000Z
DTSTAMP;VALUE=DATE-TIME:20220927T043829Z
UID:Nonlinear_Analysis_Seminar/1
DESCRIPTION:Title: Mean Hoelder-Lipschitz Potentials in Curved Campanato-R
adon Spaces\nby Jie Xiao (Memorial University of Newfoundland) as part
of Nonlinear Analysis Seminar Series\n\nLecture held in Room M210 in NTNU
Gongguan Campus Mathematics Building.\n\nAbstract\nThis talk will present
L. Liu-J. Xiao's article: Math. Ann. 375(2019)1045-1077\, proving that f
or $s \\in (0\,1)$\, $\\alpha \\in (0\,n)$\, $\\beta \\in (0\,n]$\, \n\\[\
n1\\leq \\min\\{p\, q\\}\\le\\max\\{p\,q\\}<\\beta p(n-\\alpha p)^{-1}<\\i
nfty\n\\]\nand $\\lambda=q(np^{-1}-s-\\alpha)+n-\\beta$\, if $\\mu$ is a n
onnegative Radon measure on $\\mathbb R^n$ with the $\\beta$-dimensional u
pper curvature $|\\|\\mu|\\|_\\beta<\\infty$ then $I_\\alpha \\dot{\\varLa
mbda}_s^{p\,\\infty}$ (the mean Hoelder-Lipschitz potential space on $\\ma
thbb R^n$) embeds continuously into $\\mathcal{L}^{q\,\\lambda}_\\mu$ (the
curved Campanato-Radon space on $\\mathbb R^n$)\; and yet its converse is
still valid with $\\mu$ being admissible\, thereby discovering\nthe $\\ga
mma$-Hoelder-Lipschitz continuity of any duality solution to the $\\alpha$
-th Laplace equation $(-\\varDelta)^{\\frac\\alpha 2}u=\\mu$\nor the $[1\,
n/2)\\cap\\{1\,2...\,n\\}\\ni k$-th Hessian equation $F_k[u]=\\mu$ under a
suitable curvature $|\\||\\mu|\\||_\\beta<\\infty$.\n
LOCATION:https://researchseminars.org/talk/Nonlinear_Analysis_Seminar/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Volberg (Michigan State University)
DTSTART;VALUE=DATE-TIME:20220920T010000Z
DTEND;VALUE=DATE-TIME:20220920T020000Z
DTSTAMP;VALUE=DATE-TIME:20220927T043829Z
UID:Nonlinear_Analysis_Seminar/2
DESCRIPTION:Title: Dyadic rectangles\nby Alexander Volberg (Michigan S
tate University) as part of Nonlinear Analysis Seminar Series\n\nLecture h
eld in Room M210 in NTNU Gongguan Campus Mathematics Building.\n\nAbstract
\nWeighted Carleson embedding (weighted paraproduct estimates in another l
anguage) lies in the core of various harmonic analysis and PDE results. N
ot much is known about it in multi-parameter situation\, while one paramet
er is completely understood. I will formulate several new results on weigh
ted multi-parameter Carleson embedding on multi-trees and their corollarie
s as embeddings of Hilbert spaces of analytic functions on poly-discs.\n\n
I will also formulate corresponding Poincar\\'e inequalities on multi-tree
s and poly-discs. Some of those results are final\, but even embedding of
Hardy space on bi-disc is not completely described. My presentation is bas
ed on joint works with N. Arcozzi\, I. Holmes\, P. Mozolyako\, P. Zorin-K
ranich.\n
LOCATION:https://researchseminars.org/talk/Nonlinear_Analysis_Seminar/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lenka Slavikova (Charles University)
DTSTART;VALUE=DATE-TIME:20220927T070000Z
DTEND;VALUE=DATE-TIME:20220927T080000Z
DTSTAMP;VALUE=DATE-TIME:20220927T043829Z
UID:Nonlinear_Analysis_Seminar/3
DESCRIPTION:Title: Classical multiplier theorems and their sharp variants<
/a>\nby Lenka Slavikova (Charles University) as part of Nonlinear Analysis
Seminar Series\n\nLecture held in Room M210 in NTNU Gongguan Campus Mathe
matics Building.\n\nAbstract\nThe question of finding good sufficient cond
itions on a bounded function $m$ guaranteeing the $L^p$-boundedness of the
associated Fourier multiplier operator is a long-standing open problem in
harmonic analysis. In this talk\, I will recall the classical multiplier
theorems of H\\"ormander and Marcinkiewicz and present their sharp variant
s in which the multiplier belongs to a certain fractional Sobolev space. T
he talk is based in part on a joint work with L. Grafakos and M. Masty\\l
o.\n
LOCATION:https://researchseminars.org/talk/Nonlinear_Analysis_Seminar/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francesco Maggi (UT Austin)
DTSTART;VALUE=DATE-TIME:20221004T010000Z
DTEND;VALUE=DATE-TIME:20221004T020000Z
DTSTAMP;VALUE=DATE-TIME:20220927T043829Z
UID:Nonlinear_Analysis_Seminar/4
DESCRIPTION:by Francesco Maggi (UT Austin) as part of Nonlinear Analysis S
eminar Series\n\nLecture held in Room M210 in NTNU Gongguan Campus Mathema
tics Building.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Nonlinear_Analysis_Seminar/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jin-Cheng Jiang (National Tsing Hua University)
DTSTART;VALUE=DATE-TIME:20221018T070000Z
DTEND;VALUE=DATE-TIME:20221018T080000Z
DTSTAMP;VALUE=DATE-TIME:20220927T043829Z
UID:Nonlinear_Analysis_Seminar/5
DESCRIPTION:Title: On the Cauchy problem for the cutoff Boltzmann equation
with small initial data\nby Jin-Cheng Jiang (National Tsing Hua Unive
rsity) as part of Nonlinear Analysis Seminar Series\n\nLecture held in Roo
m M210 in NTNU Gongguan Campus Mathematics Building.\n\nAbstract\nWe prove
the global existence of the non-negative unique mild\nsolution for the Ca
uchy problem of the cutoff Boltzmann equation for\nsoft potential model
−1<=γ<0 with the small initial data in three\ndimensional space. Thus o
ur result fixes the gap for the case γ=−1 in\nthree dimensional space i
n the authors' previous work where the estimate\nfor the loss term was imp
roperly used. The other gap there for the case\nγ=0 in two dimensional sp
ace is recently fixed by Chen\, Denlinger and\nPavlović. The initial data
f0 is non-negative\, small in weighted\nL3_{x\,v} and finite in weighted
L15/8_{x\,v}. We also show that the\nsolution scatters with respect to the
kinetic transport operator. The\nnovel contribution of this work lies in
the exploration of the symmetric\nproperty of the gain term in terms of we
ighted estimate. It is the key\ningredient for solving the model −1<γ<0
when applying the Strichartz\nestimates.\n
LOCATION:https://researchseminars.org/talk/Nonlinear_Analysis_Seminar/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Neal Bez (Saitama University)
DTSTART;VALUE=DATE-TIME:20221129T010000Z
DTEND;VALUE=DATE-TIME:20221129T033000Z
DTSTAMP;VALUE=DATE-TIME:20220927T043829Z
UID:Nonlinear_Analysis_Seminar/6
DESCRIPTION:Title: An introduction to Strichartz estimates I\nby Neal
Bez (Saitama University) as part of Nonlinear Analysis Seminar Series\n\nL
ecture held in Room M210 in NTNU Gongguan Campus Mathematics Building.\n\n
Abstract\nThe aim of these lectures is to give a gentle introduction to St
richartz estimates\, with an emphasis on particular cases such as the line
ar Schr\\"odinger and wave equations. The associated dispersive estimates
play a highly important role in the theory of Strichartz estimates so I wi
ll begin in Lecture 1 by proving the required dispersive estimates.\n\nNex
t\, in Lecture 2\, I will prove the homogeneous Strichartz estimates in al
l admissible cases\, including the so-called Keel--Tao endpoint case. Buil
ding on the content of the first two lectures\, in Lecture 3\, I will disc
uss the situation regarding inhomogeneous Strichartz estimates.\n
LOCATION:https://researchseminars.org/talk/Nonlinear_Analysis_Seminar/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Neal Bez (Saitama University)
DTSTART;VALUE=DATE-TIME:20221206T010000Z
DTEND;VALUE=DATE-TIME:20221206T033000Z
DTSTAMP;VALUE=DATE-TIME:20220927T043829Z
UID:Nonlinear_Analysis_Seminar/7
DESCRIPTION:Title: An introduction to Strichartz estimates II\nby Neal
Bez (Saitama University) as part of Nonlinear Analysis Seminar Series\n\n
Lecture held in Room M210 in NTNU Gongguan Campus Mathematics Building.\n\
nAbstract\nThe aim of these lectures is to give a gentle introduction to S
trichartz estimates\, with an emphasis on particular cases such as the lin
ear Schr\\"odinger and wave equations. The associated dispersive estimates
play a highly important role in the theory of Strichartz estimates so I w
ill begin in Lecture 1 by proving the required dispersive estimates.\n\nNe
xt\, in Lecture 2\, I will prove the homogeneous Strichartz estimates in a
ll admissible cases\, including the so-called Keel--Tao endpoint case. Bui
lding on the content of the first two lectures\, in Lecture 3\, I will dis
cuss the situation regarding inhomogeneous Strichartz estimates.\n
LOCATION:https://researchseminars.org/talk/Nonlinear_Analysis_Seminar/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Neal Bez (Saitama University)
DTSTART;VALUE=DATE-TIME:20221213T010000Z
DTEND;VALUE=DATE-TIME:20221213T033000Z
DTSTAMP;VALUE=DATE-TIME:20220927T043829Z
UID:Nonlinear_Analysis_Seminar/8
DESCRIPTION:Title: An introduction to Strichartz estimates III\nby Nea
l Bez (Saitama University) as part of Nonlinear Analysis Seminar Series\n\
nLecture held in Room M210 in NTNU Gongguan Campus Mathematics Building.\n
\nAbstract\nThe aim of these lectures is to give a gentle introduction to
Strichartz estimates\, with an emphasis on particular cases such as the li
near Schr\\"odinger and wave equations. The associated dispersive estimate
s play a highly important role in the theory of Strichartz estimates so I
will begin in Lecture 1 by proving the required dispersive estimates.\n\nN
ext\, in Lecture 2\, I will prove the homogeneous Strichartz estimates in
all admissible cases\, including the so-called Keel--Tao endpoint case. Bu
ilding on the content of the first two lectures\, in Lecture 3\, I will di
scuss the situation regarding inhomogeneous Strichartz estimates.\n
LOCATION:https://researchseminars.org/talk/Nonlinear_Analysis_Seminar/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lubos Pick (Charles University)
DTSTART;VALUE=DATE-TIME:20221108T070000Z
DTEND;VALUE=DATE-TIME:20221108T080000Z
DTSTAMP;VALUE=DATE-TIME:20220927T043829Z
UID:Nonlinear_Analysis_Seminar/9
DESCRIPTION:by Lubos Pick (Charles University) as part of Nonlinear Analys
is Seminar Series\n\nLecture held in Room M210 in NTNU Gongguan Campus Mat
hematics Building.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Nonlinear_Analysis_Seminar/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tess Anderson (Carnegie Mellon University)
DTSTART;VALUE=DATE-TIME:20221025T010000Z
DTEND;VALUE=DATE-TIME:20221025T020000Z
DTSTAMP;VALUE=DATE-TIME:20220927T043829Z
UID:Nonlinear_Analysis_Seminar/10
DESCRIPTION:by Tess Anderson (Carnegie Mellon University) as part of Nonli
near Analysis Seminar Series\n\nLecture held in Room M210 in NTNU Gongguan
Campus Mathematics Building.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Nonlinear_Analysis_Seminar/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carolin Kreisbeck (Katholischen Universität Eichstätt - Ingolsta
dt)
DTSTART;VALUE=DATE-TIME:20221101T070000Z
DTEND;VALUE=DATE-TIME:20221101T080000Z
DTSTAMP;VALUE=DATE-TIME:20220927T043829Z
UID:Nonlinear_Analysis_Seminar/11
DESCRIPTION:by Carolin Kreisbeck (Katholischen Universität Eichstätt - I
ngolstadt) as part of Nonlinear Analysis Seminar Series\n\nLecture held in
Room M210 in NTNU Gongguan Campus Mathematics Building.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Nonlinear_Analysis_Seminar/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Luz Roncal (Basque Center for Applied Mathematics)
DTSTART;VALUE=DATE-TIME:20221122T070000Z
DTEND;VALUE=DATE-TIME:20221122T080000Z
DTSTAMP;VALUE=DATE-TIME:20220927T043829Z
UID:Nonlinear_Analysis_Seminar/12
DESCRIPTION:by Luz Roncal (Basque Center for Applied Mathematics) as part
of Nonlinear Analysis Seminar Series\n\nLecture held in Room M210 in NTNU
Gongguan Campus Mathematics Building.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Nonlinear_Analysis_Seminar/12/
END:VEVENT
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