Derives Clarke subdifferential and first-variation formula for the kth eigenvalue on self-adjoint operators (valid at essential spectrum edge) and applies it to characterize optimal weights in weighted Laplace/Steklov problems.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Proves optimal C^{3/2} (smooth data) and C^{1,1} (no sources) boundary Harnack estimates for kinetic Fokker-Planck equations near grazing sets.
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Eigenvalue optimization via a first-variation formula
Derives Clarke subdifferential and first-variation formula for the kth eigenvalue on self-adjoint operators (valid at essential spectrum edge) and applies it to characterize optimal weights in weighted Laplace/Steklov problems.
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Boundary Harnack estimates of optimal order for kinetic Fokker-Planck equations
Proves optimal C^{3/2} (smooth data) and C^{1,1} (no sources) boundary Harnack estimates for kinetic Fokker-Planck equations near grazing sets.