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.