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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.AP2023
Global Wellposedness of a Class of Weakly Hyperbolic Cauchy Problems with Variable Multiplicities on
Sandro Coriasco, Giovanni Girardi, N. Uday Kiran
We study a class of weakly hyperbolic Cauchy problems on , involving linear operators with characteristics of variable multiplicities, whose coefficients are unbounde…
math.AP2020
Fujita modified exponent for scale invariant damped semilinear wave equations
Felisia Angela Chiarello, Giovanni Girardi, Sandra Lucente
The aim of this paper is to prove a blow up result of the solution for a semilinear scale invariant damped wave equation under a suitable decay condition on radial initial data. Th…