Svenska matematikersamfundets

årsmöte

i Umeå, 4-5 juni 2010


Svenska matematikersamfundets årsmöte äger rum Fredag 4 juni 13.00 - Lördag 5 juni 12.00 i sal MA346 i MIT-huset (märkt V på kartan).

Rekommenderat hotell: Hotell Pilen

Program

Fredag 4 juni
13.00 - 13.10 Välkomna

13.10 - 14.00 Vladimr Kozlov,
Water waves and the Benjamin-Lighthill conjecture

14.00 - 14.30 Kaffe

14.30 - 15.20 Kaj Nyström,
Free boundary and inverse type problems for the p-Laplace Operator

15.30 - 16.00 Bo Berndtsson,
Presentation av årets Wallenbergpristagare Robert Berman

16.00 - 16.10 Utdelning av Wallenbergpriset till Robert Berman

16.20             Årsmöte

18.00             Middag

Lördag 5 juni
08.30 - 09.20 John Andersson
Linearisation and Free Boundaries

09.20 - 09.50 Kaffe

09.50 - 10.40 Torsten Ekedahl,
Presentation av årets Abelpristagare Tate.

10.50 - 11.40 Lars-Erik Persson,
My life with Hardy and his inequalities

Abstracts:

Vladimr Kozlov, Water waves and the Benjamin-Lighthill conjecture

In 1954, Benjamin and Lighthill made a conjecture concerning the classical
nonlinear problem of steady gravity waves on water of finite depth. According
to this conjecture, all water waves can be parametrized by two parameters from
a certain region, one of them is the Bernoulli's constant and the second one is
the flow force. I'll talk about research around this conjecture and about latest
progress in proving it. In particular, I'll present a joint with N. Kuznetsov work,
where we proved this conjecture for near-critical Bernoulli's constant.


Kaj Nyström, Free boundary and inverse type problems for the p-Laplace Operator


John Andersson,  Linearisation and Free Boundaries

A free boundary problem consists of solving a partial differential equation in
domain Ω that is not apriori given. Finding Ω, or equivalently the boundary
of Ω, is part of the problem. Usually part of the boundary is specified and part
of the boundary is free or not apriori determined. On the free boundary we are
given overdetermined boundary data. For instance both Dirichlet and Neumann
conditions. The aim of this talk is to describe some general techniques of proving
regularity of the free part of the boundary.


Lars-Erik Persson, My life with Hardy and his inequalities

I will first describe something from the dramatic prehistory of 10 years of
work until Hardy in 1925 finally proved his famous inequality. In particular,
I will shortly describe my own experience when I a summer wrote the first
version of [4] by almost living and feeling as I think Hardy did during this
period. After that I will present a "one line convexity proof" of the
inequality we now have discovered and developed and which could have changed
both the prehistory and history if Hardy had found it. Finally, I will present
some important problems, results and applications obtained and described in
the rich liturature in the field, see e.g. the books    [1]-[3] and the
references given there.

References
[1] A. Kufner and L.E. Persson, Weighted Inequalities of Hardy Type, World
Scientific, New/JerseyLondon/Singapore/Hong Kong, 2003 (357 pages).
[2] A. Kufner, L. Maligranda and L.E. Persson, The Hardy Inequality. About its
History and some Related Results, Vydavatelsky Servis Publishing House,
Pilsen, 2007 (161 pages).
[3] A. Meshki, V. Kokalishvili and L.E. Persson, Weighted Norm Inequalities for
Integral Transforms with Product Kernels, Nova Scientific Publishers, Inc.,
Springer, New York, 2009 (329 pages).
[4] A. Kufner, L. Maligranda and L.E. Persson,The prehistory of the Hardy
inequality, Amer. Math. Monthly 113 (8), 715-732, 2006.