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Speaker: Professor Jana Björn, Linköping University and OIST TSVP Visiting Scholar
Title: The Dirichlet Problem and Boundary Regularity for Nonlinear Parabolic Equations
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Speaker: Professor Anders Björn, Linkoping University and OIST TSVP Visiting Scholar
Title: The Dirichlet problem and boundary regularity for nonlinear parabolic equations
Abstract: The p-parabolic equation \[ \partial_t u = \Delta_p u := \dvg(|\nabla u|^{p-2}\nabla u) \] is a nonlinear cousin of the classical heat equation. As such, it offers both difficulties and advantages compared with the heat equation. In the talk, we consider the Perron method for solving the Dirichlet problem for the p-parabolic equation in general bounded domains in $R^{n+1}$. Compared to space-time cylinders, such domains allow the space domain to change in time. Of particular interest will be boundary regularity for such domains, i.e. whether solutions attain their boundary data in a continuous way. Relations between regular boundary points and barriers will be discussed, as well as some peculiar examples and surprising phenomena related to boundary regularity. Towards the end I will discuss the same type of questions for two other nonlinear cousins of the heat equation, the porous medium equation \[ \partial_t u = \dvg(u^m) \] and the so-called normalized p-parabolic equation \[ \partial_t u = |\nabla u|^{2-p}\Delta_p u. \] The talk is based on collaborations with Jana Bj\"orn (Link\"oping), Ugo Gianazza (Pavia), Mikko Parviainen (Jyv\"askyl\"a) and Juhana Siljander (Jyv\"askyl\"a).
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Speaker: Dr. Brian Seguin, Associate Professor, Loyola University Chicago
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Seminar: by Dr. Daniel Stroppa from Dectris on Fast 4D STEM with ARINA Hybrid-Pixel Detector
Dr. Daniel Stroppa from Dectris will be giving a talk on their ARINA Hybrid-Pixel Detector for 4D-STEM at 11 am April the 15th in Meeting Room C016 in Lab 1.
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Eoghan McDowell, OIST
Title: Spin representations of the symmetric group which reduce modulo 2 to Specht modules
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QG visitor seminar.
Speaker: Adi Armoni (Swansea University).
Title: 't Hooft model as a String Theory.
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Join us for an interactive presentation with Rik van Gorp, the co-founder of Heratec, as he shares his entrepreneurial journey and insights into developing groundbreaking green technologies.
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Speaker: Professor Ugur G. Abdulla, Analysis and Partial Differential Equations Unit, OIST
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Speaker: Prof. Zhe Sun, University of Science and Technology of China
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Dr. Sawako Yamashiro
Associate Professor
Laboratory of Single-Molecule Cell Biology, Graduate School of Biostudies,
Kyoto University