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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
High-frequency coercivity loss for completely monotone memory on bounded time intervals
Hiroki Ishizaka
We study Volterra memory terms with locally integrable completely monotone kernels on a finite time interval $(0,\Tend)$ and ask how much coercivity they retain at high tem…
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…