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math.AP2026
A parametrix construction for time-fractional partial differential equations
Sandro Coriasco, Giovanni Girardi, Stevan Pilipović
We prove in detail how to construct the parametrix of a parameter-dependent family of pseudodifferential operators, appearing in the analysis of time-fractional partial differentia…
math.AP2025
Representation formula, regularity and decay of solutions for sub-diffusion type equations
Sandro Coriasco, Giovanni Girardi, Stevan Pilipović
We study regularity and decay properties for the solutions of the Cauchy problem for time-fractional partial differential equations, with tempered initial data, belonging to suitab…