BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Augusto Ponce (Catholic University of Louvain)
DTSTART:20201008T070000Z
DTEND:20201008T080000Z
DTSTAMP:20260404T094318Z
UID:OIST_Nonlinear_Analysis_Unit/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/OIST_
 Nonlinear_Analysis_Unit/1/">A topological toolbox for Sobolev maps</a>\nby
  Augusto Ponce (Catholic University of Louvain) as part of FALL 2020 Nonli
 near Analysis Seminar Series\n\n\nAbstract\nClassical works by F. Bethuel 
 and by F. Hang and F-H. Lin have identified the local and global topologic
 al obstructions that prevent smooth maps from being dense in the Sobolev s
 pace \\(W^{1\, p}(M^{m}\; N^{n})\\) between two Riemannian manifolds when 
 \\(p < m\\). They are related to the extension of continuous maps from sub
 sets of \\(M^{m}\\) to \\(N^{n}\\). In this talk I will present some work 
 in progress with P. Bousquet (Toulouse) and J. Van Schaftingen (UCLouvain)
 \, inspired from the notions of modulus introduced by B. Fuglede and degre
 e for VMO maps by H. Brezis and L. Nirenberg. I shall explain how one can 
 decide whether a specific Sobolev map \\(u : M^{m} \\to N^{n}\\) can be ap
 proximated or not by smooth ones\, even in the presence of topological obs
 tructions from \\(M^{m}\\) or \\(N^{n}\\).\n
LOCATION:https://stable.researchseminars.org/talk/OIST_Nonlinear_Analysis_
 Unit/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ulrich Menne (National Taiwan Normal University and National Cente
 r for Theoretical Sciences)
DTSTART:20201015T010000Z
DTEND:20201015T020000Z
DTSTAMP:20260404T094318Z
UID:OIST_Nonlinear_Analysis_Unit/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/OIST_
 Nonlinear_Analysis_Unit/2/">A priori geodesic diameter bounds for solution
 s to a variety of Plateau problems</a>\nby Ulrich Menne (National Taiwan N
 ormal University and National Center for Theoretical Sciences) as part of 
 FALL 2020 Nonlinear Analysis Seminar Series\n\n\nAbstract\nPlateau's probl
 em in Euclidean space may be given many distinct formulations with solutio
 ns to most of them admitting an associated varifold. This includes Reifenb
 erg's approach based on sets and Čech homology as well as Federer and Fle
 ming's approach using integral currents and their homology. Thus\, we empl
 oy the setting of varifolds to prove a priori bounds on the geodesic diame
 ter in terms of boundary behaviour. This is ongoing joint work with C. Sch
 arrer.\n
LOCATION:https://stable.researchseminars.org/talk/OIST_Nonlinear_Analysis_
 Unit/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yutaka Terasawa (Nagoya University)
DTSTART:20201022T070000Z
DTEND:20201022T080000Z
DTSTAMP:20260404T094318Z
UID:OIST_Nonlinear_Analysis_Unit/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/OIST_
 Nonlinear_Analysis_Unit/3/">Weak Solutions for a Diffuse Interface Model f
 or Two-Phase Flows of Incompressible Fluids with Different Densities and N
 onlocal Free Energies</a>\nby Yutaka Terasawa (Nagoya University) as part 
 of FALL 2020 Nonlinear Analysis Seminar Series\n\n\nAbstract\nWe prove exi
 stence of weak solutions for a diffuse interface model for the flow of two
  viscous incompressible Newtonian fluids with different densities in a bou
 nded domain in two and three space dimensions. In contrast to previous wor
 ks\, we study a model with a singular non-local free energy\, which contro
 ls the fractional Sobolev norm of the volume fraction. We show existence o
 f weak solutions for large times with the aid of an implicit time discreti
 zation. This talk is based on joint work with Professor Helmut Abels (Rege
 nsburg).\n
LOCATION:https://stable.researchseminars.org/talk/OIST_Nonlinear_Analysis_
 Unit/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Armin Schikorra (University of Pittsburgh)
DTSTART:20201029T010000Z
DTEND:20201029T020000Z
DTSTAMP:20260404T094318Z
UID:OIST_Nonlinear_Analysis_Unit/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/OIST_
 Nonlinear_Analysis_Unit/4/">Scale-invariant tangent-point energies for kno
 ts and fractional harmonic maps</a>\nby Armin Schikorra (University of Pit
 tsburgh) as part of FALL 2020 Nonlinear Analysis Seminar Series\n\n\nAbstr
 act\nI will report about the theory of minimizing and critical knots under
  a set of scale invariant knot energies\, the so-called tangent-point ener
 gy. We obtain lower semicontinuity and weak Sobolev-convergence of minimiz
 ing sequences to critical points away from finitely many points in the dom
 ain. Extending earlier work on Moebius-\, and O'Hara energies we also obta
 in regularity for such critical points. This is based on joint work with S
 . Blatt\, Ph. Reiter\, and N. Vorderobermeier.\n
LOCATION:https://stable.researchseminars.org/talk/OIST_Nonlinear_Analysis_
 Unit/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cody Stockdale (Clemson University)
DTSTART:20201001T010000Z
DTEND:20201001T020000Z
DTSTAMP:20260404T094318Z
UID:OIST_Nonlinear_Analysis_Unit/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/OIST_
 Nonlinear_Analysis_Unit/5/">Sparse domination results for compact operator
 s</a>\nby Cody Stockdale (Clemson University) as part of FALL 2020 Nonline
 ar Analysis Seminar Series\n\n\nAbstract\nThe boundedness properties of Ca
 lderón-Zygmund singular integral operators are of central importance in h
 armonic analysis\, while the corresponding properties on weighted spaces h
 as been of more recent interest. Indeed\, within the last decade\, optimal
  bounds for Calderón-Zygmund operators acting on weighted Lebesgue spaces
  have been obtained using sparse domination techniques. In addition to thi
 s theory concerning boundedness of Calderón-Zygmund operators\, a theory 
 for compactness of these operators has recently been established. In this 
 talk\, we present the extension of compact Calderón-Zygmund theory to wei
 ghted spaces using sparse domination methods. This work is joint with Paco
  Villarroya and Brett Wick.\n
LOCATION:https://stable.researchseminars.org/talk/OIST_Nonlinear_Analysis_
 Unit/5/
END:VEVENT
END:VCALENDAR