diffusion equations 2memory effects 2coercivity 1completely monotone kernels 1degenerate diffusion 1fractional diffusion 1graph spaces 1semigroup theory 1spectral analysis 1
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math.AP2026
Graph-space well-posedness for diffusion equations with degenerate instantaneous diffusion
Hiroki Ishizaka
The paper establishes well‑posedness and stability for diffusion equations with completely monotone memory when the instantaneous diffusion term is only non‑negative, using an exte…
math.AP2026
Coercivity structure of positive-type memory: exact gaps, critical horizons, and singular limits
Hiroki Ishizaka
The paper examines diffusion equations with positive‑type (completely monotone) memory in regimes where the instantaneous diffusion loses coercivity, proving that such memory canno…
math.AP2026
Weighted well-posedness and kernel stability for coercive evolution equations with measure-valued delays
Hiroki Ishizaka
We consider coercive evolution equations with measure-valued delay on a Gelfand triple. The delayed feedback is induced by a bounded form on and may contain principal spatial d…