Validated Numerics Techniques for Singular Integrals – Irina Mitrea (Temple University)

December 12, 2019 @ 3:00 pm – 3:30 pm
Seminar Room 1
Newton Institute

In this talk I will discuss spectral properties of singular integral operators of layer potential type in the class of curvilinear polygons in two dimensions and illustrate how a combination of Harmonic Analysis techniques and Validated Numerics methods can be successfully implemented for establishing well-posedness results for boundary value problems for second order elliptic partial differential operators with constant coefficients in this geometric setting. This is based on joint work with H. Awala, T. Johnson, K. Ott and W. Tucker.