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math.AP2026
Graph-space well-posedness for diffusion equations with degenerate instantaneous diffusion
Hiroki Ishizaka
We study diffusion equations with completely monotone memory when the instantaneous diffusion form is merely non-negative and may therefore lose coercivity. For a kernel whose Bern…
math.AP2026
Coercivity structure of positive-type memory: exact gaps, critical horizons, and singular limits
Hiroki Ishizaka
We study diffusion equations with positive-type memory in the degenerate regime where the instantaneous diffusion may lose coercivity. The basic question is simple: can a completel…