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Nuovi teoremi sulle funzioni a variazione limitata

Diego Pallara — 1990

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Vengono presentate alcune connessioni tra gli spazi classici delle funzioni a variazione limitata ed altre classi di funzioni la cui variazione è opportunamente controllata, cioè le classi GBV introdotte da E. De Giorgi e L. Ambrosio, e le classi BBV, LBV, GBV* introdotte in questa Nota. Le dimostrazioni dei risultati enunciati, insieme con altri dettagli, appariranno in un successivo lavoro.

Partial regularity of free discontinuity sets, I

Luigi Ambrosio; Diego Pallara — 1997

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Discreteness of the spectrum for some differential operators with unbounded coefficients in $R^{n}$

Giorgio Metafune; Diego Pallara — 2000

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We give sufficient conditions for the discreteness of the spectrum of differential operators of the form $A u = - △ u + (\nabla F, \nabla u)$ in $L_{μ}^{2} (R^{n})$ where $d μ (x) = e^{- F (x)} d x$ and for Schrödinger operators in $L^{2} (R^{n})$ . Our conditions are also necessary in the case of polynomial coefficients.

Partial regularity of free discontinuity sets, II

Luigi Ambrosio; Nicola Fusco; Diego Pallara — 1997

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Short-time heat flow and functions of bounded variation in $R^{N}$

Michele Miranda; Diego Pallara; Fabio Paronetto; Marc Preunkert — 2007

Annales de la faculté des sciences de Toulouse Mathématiques

We prove a characterisation of sets with finite perimeter and $B V$ functions in terms of the short time behaviour of the heat semigroup in $R^{N}$ . For sets with smooth boundary a more precise result is shown.

Some Fine Properties of BV Functions on Wiener Spaces

Luigi Ambrosio; Michele Miranda Jr.; Diego Pallara — 2015

Analysis and Geometry in Metric Spaces

In this paper we define jump set and approximate limits for BV functions on Wiener spaces and show that the weak gradient admits a decomposition similar to the finite dimensional case. We also define the SBV class of functions of special bounded variation and give a characterisation of SBV via a chain rule and a closure theorem. We also provide a characterisation of BV functions in terms of the short-time behaviour of the Ornstein-Uhlenbeck semigroup following an approach due to Ledoux.

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Currently displaying 1 – 6 of 6

Nuovi teoremi sulle funzioni a variazione limitata

Partial regularity of free discontinuity sets, I

Discreteness of the spectrum for some differential operators with unbounded coefficients in $R^{n}$

Partial regularity of free discontinuity sets, II

Short-time heat flow and functions of bounded variation in $R^{N}$

Some Fine Properties of BV Functions on Wiener Spaces

Advanced Search

Formula preview

Currently displaying 1 – 6 of 6

Nuovi teoremi sulle funzioni a variazione limitata

Partial regularity of free discontinuity sets, I

Discreteness of the spectrum for some differential operators with unbounded coefficients in R n

Partial regularity of free discontinuity sets, II

Short-time heat flow and functions of bounded variation in R N

Some Fine Properties of BV Functions on Wiener Spaces

Discreteness of the spectrum for some differential operators with unbounded coefficients in $R^{n}$

Short-time heat flow and functions of bounded variation in $R^{N}$