Kindergarten Seminar in the University of Jyvaskyla (09.2014-12.2014)
Welcome to attend the Kindergarten Seminar in the University of Jyvaskyla (09.2014-12.2014)!
The room for this seminar is always MaD 355 and the time is always from 13:00-14:00, unless further notice.
Some abstract are written in standard latex code.
If you had any problems, please feel free to contact me.
You can find my contact at the homepage.
September 2014
Friday 19
Title: Generalized Stokes Problem
Speaker: Marjaana Nokka
Abstract: Please see the file "Stokes_NokkaMarjaana.pdf".
Friday 26
Title: Density problems on Sobolev spaces in $\mathbb R^n$
Speaker: Yi Zhang
Abstract: I would like to show the main idea in [1], which proves that global smooth functions are dense in $W^{1,\,p}(\Omega)$ for $1<p<\infty$, where $\Omega$ is a planar Jordan domain. Also I would like to introduce the paper [2] briefly, which states that $W^{1,\,2}(\Omega)$ is dense in $W^{1,\,p}(\Omega)$ for $1\le p<2$ for some very general domains. If we had more time, a recent work by Pekka Koskela and me shall be presented.
[1] John L. Lewis, Approximation of Sobolev functions in Jordan domains. Ark. Mat. 25 (1987), no. 2, 255–264.
[2] Alessandro Giacomini, Paola Trebeschi, A density result for Sobolev spaces in dimension two, and applications to stability of nonlinear Neumann problems. J. Differential Equations 237 (2007), no. 1, 27–60.
October 2014
Friday 3
Title: Calderón problem
Speaker: Tommi Brander
Abstract: I introduce the main concepts required for understanding the statement of the Calderón problem, which is a famous inverse problem related to PDE - what sorts of questions are asked and what is the motivation for asking them. I may also briefly discuss some answers to the questions thus posed.
Friday 10
Title: Finding holes with coupling -- multifractal behaviour of porosities in Mandelbrot percolation
Speaker: Tuomo Ojala
Friday 17
Title: LET US HAVE A REST
Speaker: Anyone
Abstract: In Jyvaskyla now, almost every kindergarten is closed. So is the seminar.
Friday 24
Title: The Acoustic Inverse Problem
Speaker: Leyter Potenciano Machado
Abstract: See the attachment "The Acoustic Inverse Problem"
Friday 31
Title: Ordinals in topology
Speaker: Joonas Ilmavirta
Abstract: I will introduce ordinal numbers and their basic properties. I will then use ordinals to describe topological issues, such as convergence, metrics, Borel sets and the long line. If time permits, I will digress into something else.
November 2014
Friday 14
Title: Uniqueness of infinity harmonic functions
Speaker: Eero Ruosteenoja
Friday 21
Title: Introductory Analysis on Heisenberg Groups
Speaker: Shirsho Mukherjee
Abstract: The main topics would be sub riemannian structure, Riemannian approximation, horizontal gradient, divergence and sub laplacian, fundamental solution all the way to sobolev and morrey embeddings on heisenberg group. If time permits then perhaps I can scratch the surface of geometric measure theory on heisenberg groups involving Pansu Differentials and Area-Coarea formula.
Friday 28
The end of the Kindergarten Seminar in the University of Jyvaskyla (09.2014-12.2014)