Výsledky vyhledávání - "Guidetti, Davide"

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On maximal regularity for the Cauchy-Dirichlet mixed parabolic problem with fractional time derivative

Autor: Guidetti, Davide

We prove two maximal regularity results in spaces of continuous and H\"older continuous functions, for a mixed linear Cauchy-Dirichlet problem with a fractional time derivative $\mathbb{D}_t^\alpha$. This derivative is intended in the sense of Caputo

Externí odkaz: http://arxiv.org/abs/1807.05913

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Fractional derivative in spaces of continuous functions

Autor: Guidetti, Davide

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 continuous functions are described.

Externí odkaz: http://arxiv.org/abs/1707.02093

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Classical solutions to quasilinear parabolic problems with dynamic boundary conditions

Autor: Guidetti, Davide

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 solution to a second order quasilinear system with nonlinear dynamic bou

Externí odkaz: http://arxiv.org/abs/1504.06112

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Parabolic problems with general Wentzell boundary conditions and diffusion on the boundary

Autor: Guidetti, Davide

We show a result of maximal regularity in spaces of H\"older continuous function, concerning linear parabolic systems, with dynamic or Wentzell boundary conditions, with an elliptic diffusion term on the boundary.

Externí odkaz: http://arxiv.org/abs/1504.05363

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$\mathsf{L}^1$-elliptic regularity and $H=W$ on the whole $\mathsf{L}^p$-scale on arbitrary manifolds

Autor: Guidetti, Davide, Güneysu, Batu, Pallara, Diego

We define abstract Sobolev type spaces on $\mathsf{L}^p$-scales, $p\in [1,\infty)$, on Hermitian vector bundles over possibly noncompact manifolds, which are induced by smooth measures and families $\mathfrak{P}$ of linear partial differential operat

Externí odkaz: http://arxiv.org/abs/1405.2654

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Identification of a convolution kernel in a control problem for the heat equation with a boundary memory term

Autor: Cavaterra, Cecilia, Guidetti, Davide

Publikováno v: Annali di Matematica Pura ed Applicata, 2012 pp. 1-38

We consider the evolution of the temperature $u$ in a material with thermal memory characterized by a time-dependent convolution kernel $h$. The material occupies a bounded region $\Omega$ with a feedback device controlling the external temperature l

Externí odkaz: http://arxiv.org/abs/1310.5053

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