PhD Projects in Analysis
Singular Integral Operators in Potential Theory: at the Analysis/Numerical Analysis Interface
Short description: In this project we will attack a long-standing conjecture in potential theory of (Kenig, 1994) regarding the so-called double-layer potential operator K on a closed curve Γ in the plane. The conjecture is that K has essential spectral radius < ½ whenever Γ is the boundary of a bounded Lipschitz domain.
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