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math.AP2026
Sharp spectral-scale stability for parabolic equations with measure-valued delay
Lennon J. Shikhman
We study the dependence of parabolic solution operators on a finite signed measure describing the delay law. For a positive self-adjoint generator with compact inverse, a weighted…
math.AP2026
Kernel-Robust Dynamics for Reaction-Diffusion Equations with Measure-Valued Delay
Lennon Shikhman
We study reaction-diffusion equations with finite signed measure delays and nonlinear, possibly nonlocal feedback. We treat abstract reactions that are Lipschitz on bounded -b…