16 citations · 24 across the 6 of their papers we have counts for
6 papers
On maximal regularity for the Cauchy-Dirichlet mixed parabolic problem with fractional time derivative
Davide Guidetti
We prove two maximal regularity results in spaces of continuous and Hölder continuous functions, for a mixed linear Cauchy-Dirichlet problem with a fractional time derivative $\mat…
Fractional derivative in spaces of continuous functions
Davide Guidetti
This is a first version of a paper concerning abstract evolution equation with fractional time derivatives. Maximal regularity results in spaces of continuous and Hoelder continuou…
Classical solutions to quasilinear parabolic problems with dynamic boundary conditions
Davide Guidetti
We study linear nonautonomous parabolic systems with dynamic boundary conditions. Next, we apply these results to show a theorem of local existence and uniqueness of a classical so…
Parabolic problems with general Wentzell boundary conditions and diffusion on the boundary
Davide Guidetti
We show a result of maximal regularity in spaces of Hölder continuous function, concerning linear parabolic systems, with dynamic or Wentzell boundary conditions, with an elliptic…
-elliptic regularity and on the whole -scale on arbitrary manifolds
Davide Guidetti, Batu Güneysu, Diego Pallara
We define abstract Sobolev type spaces on -scales, , on Hermitian vector bundles over possibly noncompact manifolds, which are induced by smooth meas…
Identification of a convolution kernel in a control problem for the heat equation with a boundary memory term
Cecilia Cavaterra, Davide Guidetti
We consider the evolution of the temperature in a material with thermal memory characterized by a time-dependent convolution kernel . The material occupies a bounded region…