Events

May 7 - May 21, 2023

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  Advances in nonlinear elliptic and parabolic PDEs

  May 14, 11:00 - May 17, 17:00

  AlUla Al Madinah KSA

  KAUST Research Conference on Advances in nonlinear elliptic and parabolic PDEs

May 7 - May 14, 2023

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  A brief introduction to the obstacle problem regularity theory

  Prof. Eduardo Teixeira, Department of Mathematics, University of Central Florida (USA)

  May 8, 08:30 - May 11, 10:00

  B1 L4 R4102

  free boundary problems

  Abstract How does an elastic membrane lie on a given obstacle? This naive looking question hides a beautiful mathematical theory integrating powerful tools with far-reaching applications. In this mini-course we will discuss the obstacle problem as a free boundary model. All necessary tools will be carefully constructed from scratch. We will mainly focus on: optimal regularity of solutions, non-degeneracy estimates, weak geometric-measure properties of the free boundary, classification of global profiles, and differentiability of the free boundary. Brief Biography Eduardo Teixeira is a Full