Fractional PDEs: control, analysis, and discretization

Prof. Dr. Harbir Antil (George Mason University, Virginia, USA)

Abstract

Motivated by several applications, for instance image denoising and phase field models, recently fractional differential operators have received tremendous attention. These operators provide an attractive mathematical tool to model effects with limited regularity properties. This course will give an introduction to fractional partial differential equations, including discretization and control of these equations (elliptic and parabolic). Our focus will be on linear, semilinear and quasilinear differential equations. In addition, we will learn about fractional quasi-variational inequalities. In terms of applications, we shall focus on fractional phase field models and fractional models for image denoising.

Please bring your own laptop to the course for simulation exercises - thank you!

Registration

No registration required.

Date and Place

All sessions take place at the Zentrum Mathematik, TU München in Seminar Room 02.06.011
and via live broadcast to the KFU Graz in Room SR 11.34

• Monday, 07.08.2017:
  • 10:15 - 11:45 and 15:30 - 17:00

• Tuesday, 08.08.2017:
  • 10:15 - 11:45 and 15:30 - 17:00

• Wednesday, 09.08.2017:
  • 10:15 - 11:45 and 15:30 - 17:00

• Thursday, 10.08.2017:
  • 10:15 - 11:45 and 15:30 - 17:00

• Friday, 11.08.2017:
  • 10:15 - 11:45

-- DianeClaytonWinter - 24 Feb 2017