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Validated Numerics Techniques for Singular Integrals

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CATW03 - Computational complex analysis

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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