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Fukushima-Tohoku-UOW PDE workshop

March 1, 2018 @ 11:30 am - 7:00 pm

University of Wollongong, School of Mathematics and Applied Statistics, Institute for Mathematics and its Applications, Centre for Geometric Analysis presents:

Fukushima-Tohoku-UOW PDE workshop

Invited Speakers:

Tsukasa Iwabuchi (Tohoku)
Jiakun Liu (UOW)
James McCoy (Newcastle)
Kazushige Nakagawa (Fukushima)
Takayoshi Ogawa (Tohoku)


Schedule and Speaker Info

11:30 - 13:00 Lunch, Espresso Warriors

Espresso Warriors, Early Start Facility Building 2522, 21 Northfields Ave, Keiraville NSW 2500

13:30 - 14:15 Takayoshi Ogawa
Title

Maximal L^1 regularity for heat equations and some applications

Abstract

We consider maximal regularity for the Cauchy problem of a heat equation. Introducing some
general result, we show the endpoint case, namely time L^1 maximal regularity on a homogeneous Besov
space and show some application.

14:25 - 15:05 Jiakun Liu
Title

Bergman-Toeplitz operators on weakly pseudoconvex domains

Abstract

In this talk, we introduce a large class of pseudoconvex domains of finite type, and show that the
Bergman-Toeplitz operator maps from Lp to Lq continuously, provided the symbol satisfies some proper
condition. This is a joint work with Tran Vu Khanh and Phung Trong Thuc, which generalises previous works
on strongly pseudoconvex domains.

15:15 - 16:00 Tsukasa Iwabuchi
Title

Analyticity and large time behavior of solutions for the Burgers equation with critical dissipation

Abstract

We study the Cauchy problem of the Burgers equation, where the derivative order of the linear part and the nonlinear part are balanced. We will discuss the space-time analyticity of solutions and the large time behavior that smooth solutions behave like the Poisson kernel as time tends to infinity.

Afternoon Tea
16:20 - 17:05 Kazushige Nakagawa
Title

Comparison principle of nonlinear weakly coupled parabolic systems and its applications

Abstract

In this talk, we establish the comparison principle of fully nonlinear weakly coupled parabolic systems, after that, we discuss a shape of solutions to parabolic systems with log-concave initial data in convex domains.

17:15 - 18:00 James McCoy
Title

Contraction of convex hypersurfaces by nonsmooth concave speeds

Abstract

TBA

18:30 Dinner, Lagoon Restuarant, Wollongong

Lagoon Seafood Restaurant, Stuart Park, George Hanley Dr, North Wollongong NSW 2500


The event was a great success. View some photos below:

Venue

Building 39A Room 208
University of Wollongong
Wollongong, NSW Australia
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