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math.NA2026
A coercive space-time variational approach to fractional diffusion problems
Herbert Egger, Marvin Fritz, Barbara Wohlmuth
We consider a fractional diffusion problem with temporal nonlocality acting on the diffusive flux. A coercive space--time variational formulation in Bochner-valued fractional Sobol…
math.AP2026
A semiconvex counterexample to energy monotonicity for time-fractional gradient flows
Marvin Fritz
For time-fractional gradient flows, natural dissipation statements are often integrated or memory-modified rather than pointwise differential inequalities for the original energy.…