14:00
Conferences
Mathematics, Statistics and Actuarial Science, School of
Murat Akman murat.akman@essex.ac.uk
We are very excited to bring researchers to discuss Problems in potential theory of nonlinear PDEs in this three-day meeting. The aim of this event is to motivate discussions that would lead to fruitful connections between different approaches in the study of PDEs. We hope this meeting will inspire new collaborations and build bridges between the participants. This workshop is part of the activities of the Analysis and Mathematical Physics group of the School of Mathematics, Statistics and Actuarial Science at the University of Essex.
Please note: registration for this event has now been closed.
Solvability of the Dirichlet for Laplacian is an old problem and (probably) the first work is due to G. Green (1828). Since then this problem has been studied in various type of domains including Lipschitz and non-tangentially accessible domains with Ahlfors regular boundaries and for many other PDEs. Although the Neumann problem is relatively new, it has also been extensively studied in various settings for many PDEs. The second day of the workshop will focus on different aspect of analysis of PDEs including solvability of Dirichlet and Neuman problems for certain PDEs in rough settings.
University of Essex recently became a node of the LMS Harmonic analysis and PDE network and the talks on Tuesday (February 20) are to celebrate this.
Linhan Li - University of Edinburgh
Title of the talk: A Green function characterization of uniform rectifiability of any codimension
Shirsho Mukherjee - University of Essex
Title of the talk: Minkowski problem for p-harmonic measures
Coffee Break
Peter Van Hintum - University of Oxford
Title of the talk: Sharp stability for the Brunn-Minkowski inequality for arbitrary sets
Coffee/Light Breakfast
Kaj Nyström - Uppsala University (Sweden)
Title of the talk: Solvability of the L^p Dirichlet problem for the heat equation and parabolic uniform rectifiability
Andrea Pinamonti - University of Trento (Italy)
Title of the talk: Some regularity results for balance laws and applications to the Heisenberg group.
Coffee Break
John Lewis - University of Kentucky (USA)
Title of the talk: What I learned from Professor Walter Hayman
Lunch Break
Juan Manfredi - University of Pittsburgh (USA)
Title of the Talk: On the ∞-Laplacian on Carnot Groups
Coffee Break
George Papamikos - University of Essex
Title of the talk: Symmetries, reductions and solutions of some elliptic PDEs and related equations
Alexander Pushnitski - King's College London
Title of the talk: Optimal regularity for the cubic Szegő equation
Workshop Dinner
Coffee/Light Breakfast
Ali Taheri - University of Sussex
Title of the talk: Curvature conditions, Gradient estimates on the Witten Laplacian and Liouville theorems on smooth metric measure spaces
Erik Sätterqvist - University of Edinburgh
Title of the talk: A Relation Between the Dirichlet and Regularity Problem for Parabolic PDEs
Coffee Break
Jan Kristensen - University of Oxford
Title of the talk: The Burkholder functional on classes of planar quasiregular maps
Lunch Break
Bruno Poggi - Universitat Autònoma de Barcelona (Spain)
Title of the talk: Two problems for the magnetic Schrödinger operator and their solutions via the landscape function.
Coffee Break
Pablo Hidalgo Palencia - Instituto de Ciencias Matemáticas (Spain)
Title of the talk: Perturbation of elliptic operators in domains without connectivity
This workshop is supported by the EPSRC (EP/W001586/1), Joint Research Groups (Scheme 3) of The London Mathematical Society, and by the School of Mathematics, Statistics and Actuarial Science of the University of Essex.
If your accommodation will be covered by us, we will contact you and provide further details. Otherwise, the following hotels are a good option. Those who have their own funding are very welcome to attend our workshop but they should arrange their own travel and accommodation.
These hotels are in Colchester and it would take about 40 to 50 minutes to walk to the campus. There are direct buses from Colchester to the campus or you can take a taxi which would cost around £12 depending on the location.
This information is taken from the university webpage where you can find more information about parking, directions, and accessibility on campus: https://www.essex.ac.uk/visit-us/plan-your-visit/travel-to-colchester
Google Maps: Here are a few places of interest on the Google Maps: https://maps.app.goo.gl/UNBZXjbLn1PbvNMu9
Taxi companies in Colchester: