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Giorgio Gustavo Ermanno Metafune

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Ruolo

Professore Ordinario

Organizzazione

Università del Salento

Dipartimento

Dipartimento di Matematica e Fisica "Ennio De Giorgi"

Area Scientifica

Area 01 - Scienze matematiche e informatiche

Settore Scientifico Disciplinare

MAT/05 - Analisi Matematica

Settore ERC 1° livello

Non Disponibile

Settore ERC 2° livello

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Settore ERC 3° livello

Non Disponibile

Note di Matematica, Vol.31 (1), dedicate to the memory of V.B.Moscatelli

This issue of "Note di Matematica" is dedicated to the memory of Bruno Moscatelli, Editor in Chief of "Note di Matematica", until his death in 2008. Several authors and friends contributed with papers about various subjects of Mathematical Analysis.

Analytic semigroups generated in L^p by elliptic operators with high order degeneracy at the boundary

Given a second-order elliptic operator on R d , with bounded diffusion coefficients and unbounded drift, which is the generator of a strongly continuous semigroup on L 2 (R d ) represented by an integral, we study the time behavior of the integral kernel and prove estimates on its decay at infinity. If the diffusion coefficients are symmetric, a local lower estimate is also proved.

Analyticity of C_0-semigroups generated by elliptic operators in L^p

Degenerate operators of Tricomi type in L^p-spaces and in spaces of continuous functions

We study elliptic operators L with Dirichlet boundary conditions on a bounded domain Ω whose diffusion coefficients degenerate linearly at ∂Ω in tangential directions. We compute the domain of L and establish existence, uniqueness and (maximal) regularity of the elliptic and parabolic problems for L in L p -spaces and in spaces of continuous functions. Moreover, the analytic semigroups generated by L are consistent, positive, compact and exponentially stable.

Degenerate elliptic operators with unbounded diffusion coefficients in L^p spaces

Elliptic operators with unbounded diffusion and drift coefficients in L^p spaces

Elliptic operators with unbounded diffusion coefficients in L^p-spaces

Feller semigroups and invariant measures

Global properties of transition kernels associated with second order elliptic operators

Homogenuous Calderon-Zygmund estimates for a class of second-order elliptic operators

Kernel estimates for some elliptic operators with unbounded diffusion coefficients

We prove heat kernel bounds for the operator (1 + |x| α )∆ in R N , through Nash inequalities and weighted Hardy inequalities.

Kernel estimates for elliptic operators with second-order discontinuous coefficients

Long time behavior ofheat kernels of operators with unbounded drift terms

Lp-Lq estimates for homogeneous operators

Maximal sector of analyticity for C_0-semigroups generated by elliptic operators with separation property in L^p