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University of Essex homepage Events PDEsatEssex2024
Event

Problems in potential theory of nonlinear elliptic PDEs

  • Tue 20 - Thu 22 Feb 24

    14:00

  • Colchester Campus

    EBS.2.41

  • Event type

    Conferences

  • Event organiser

    Mathematics, Statistics and Actuarial Science, School of

  • Contact details

    Murat Akman

PDEs @ Essex 2024

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.

London Mathematical Society
Engineering and Physical Sciences Research Council logo

Problems in potential theory of nonlinear PDEs 

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.

Lipschitz and non-tangentially accessible domains with Ahlfors regular boundaries and for many other PDEs

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.

Schedule

Tuesday - LMS HAnPDE network meeting

14:00-14:50

Linhan Li - University of Edinburgh

Title of the talk: A Green function characterization of uniform rectifiability of any codimension

15:00-15:50

Shirsho Mukherjee - University of Essex

Title of the talk: Minkowski problem for p-harmonic measures

15:50-16:20

Coffee Break

16:20-17:10

Peter Van Hintum - University of Oxford

Title of the talk: Sharp stability for the Brunn-Minkowski inequality for arbitrary sets

Wednesday

9:00-9:30

Coffee/Light Breakfast

9:30-10:20

Kaj Nyström - Uppsala University (Sweden)

Title of the talk: Solvability of the L^p Dirichlet problem for the heat equation and parabolic uniform rectifiability

10:30-11:20

Andrea Pinamonti - University of Trento (Italy)

Title of the talk: Some regularity results for balance laws and applications to the Heisenberg group.

11:20-11:50

Coffee Break

11:50-12:40

John Lewis - University of Kentucky (USA)

Title of the talk: What I learned from Professor Walter Hayman

12:40-14:10

Lunch Break

14:10-15:00

Juan Manfredi - University of Pittsburgh (USA)

Title of the Talk: On the ∞-Laplacian on Carnot Groups

15:00-15:30

Coffee Break

15:30-16:20

George Papamikos - University of Essex

Title of the talk: Symmetries, reductions and solutions of some elliptic PDEs and related equations

16:30-17:20

Alexander Pushnitski - King's College London

Title of the talk: Optimal regularity for the cubic Szegő equation

18:00

Workshop Dinner

Thursday

9:00-9:30

Coffee/Light Breakfast

9:30-10:20

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

10:30-11:20 

Erik Sätterqvist - University of Edinburgh

Title of the talk: A Relation Between the Dirichlet and Regularity Problem for Parabolic PDEs

11:20-11:50

Coffee Break

11:50-12:40

Jan Kristensen - University of Oxford

Title of the talk: The Burkholder functional on classes of planar quasiregular maps

12:40-14:10

Lunch Break

14:10-15:00

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.

15:00-15:30

Coffee Break

15:30-16:20

Pablo Hidalgo Palencia - Instituto de Ciencias Matemáticas (Spain)

Title of the talk: Perturbation of elliptic operators in domains without connectivity

Download the workshop program and abstracts (.pdf)

Funding

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.

Accommodation and travel

Accommodation

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.

Directions

  • By train: Greater Anglia provides frequent trains from London Liverpool Street to Colchester (also known as Colchester North). The train journey from Liverpool Street takes just under an hour and you can get a bus or taxi from the station to the campus.
  • By driving: The postcode is CO4 3SQ, however when you arrive in Colchester, follow road signs to the University (off the A133) to access to main visitor car parks, which is via the B1028, Colchester Road.
  • By flying: The closest airport is Stansted Airport. The quickest way to travel is by National Express using the 250 service which runs directly to and from our campus. Alternatively, there is a local bus x133 to Colchester town centre, but this can take longer and you will need to get a bus or taxi from the town to campus.

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:

  • Five sevens taxi (01206 577777)
  • Panther Cabs (01206 525525)
Registration is now closed
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