Characterization of the domain of an elliptic operator of infinitely many variables in $ L^{2}(\mu) $ spaces

Giuseppe Da Prato

Displaying similar documents to “Characterization of the domain of an elliptic operator of infinitely many variables in $L^{2} (μ)$ spaces”

The Ornstein-Uhlenbeck generator perturbed by the gradient of a potential

Giuseppe Da Prato (1998)

Bollettino dell'Unione Matematica Italiana

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Si considera, in uno spazio di Hilbert $H$ l'operatore lineare $M_{0} φ = 1 / 2 Tr [D^{2} φ] + 〈x, A D φ〉 - 〈D U (x), D φ〉$ , dove $A$ è un operatore negative autoaggiunto e $U$ è un potenziale che soddisfa a opportune condizioni di integrabilità. Si dimostra con un metodo analitico che $M_{0}$ è essenzialmente autoaggiunto in uno spazio $L^{2} (H, ν)$ e si caratterizza il dominio della sua chiusura $M$ come sottospazio di $W^{2, 2} (H, ν)$ . Si studia inoltre la «spectral gap property» del semigruppo generato da $M$ .

Non-vanishing of $n$ -th derivatives of twisted elliptic $L$ -functions in the critical point

Jacek Pomykała (1997)

Journal de théorie des nombres de Bordeaux

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Let $E$ be a modular elliptic curve over $ℚ$ $L^{(n)} (s, E)$ denote the $n$ -th derivative of its Hasse-Weil $L$ -series. We estimate the number of twisted elliptic curves $E_{d}, d \leq D$ such that $L^{(n)} (1, E_{d}) \neq 0$ .

Dirichlet forms on symmetric spaces

Christian Berg (1973)

Annales de l'institut Fourier

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Let $G$ be a locally compact group and $K$ a compact subgroup such that the algebra $L^{1} (G)^{♯}$ of biinvariant integrable functions is commutative. We characterize the $G$ -invariant Dirichlet forms on the homogeneous space $G / K$ using harmonic analysis of $L^{1} (G)^{♯}$ . This extends results from Ch. Berg, Séminaire Brelot-Choquet-Deny, Paris, 13e année 1969/70 and J. Deny, Potential theory (C.I.M.E., I ciclo, Stresa), Ed. Cremonese, Rome, 1970. Every non-zero $G$ -invariant Dirichlet form on a symmetric space $G / K$ of non...

$L^{p}$ -Estimates for linear elliptic systems with discontinuous coefficients

Filippo Chiarenza, Michelangelo Franciosi, Michele Frasca (1994)

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

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In this Note we give $L^{p}$ estimates $(1 < p < + \infty)$ for the highest order derivatives of an elliptic system in non-divergence form with coefficients in VMO.

Dirichlet problem for a linear elliptic equation in unbounded domains with $L^{2}$ -boundary data

J. Chabrowski (1984)

Rendiconti del Seminario Matematico della Università di Padova

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The Dirichlet problem in half-space for elliptic equations with unbounded coefficients

J. H. Chabrowski (1987)

Rendiconti del Seminario Matematico della Università di Padova

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Displaying similar documents to “Characterization of the domain of an elliptic operator of infinitely many variables in L 2 ⁢ μ spaces”

The Ornstein-Uhlenbeck generator perturbed by the gradient of a potential

Non-vanishing of n -th derivatives of twisted elliptic L -functions in the critical point

Dirichlet forms on symmetric spaces

L p -Estimates for linear elliptic systems with discontinuous coefficients

Dirichlet problem for a linear elliptic equation in unbounded domains with L 2 -boundary data

The Dirichlet problem in half-space for elliptic equations with unbounded coefficients

Displaying similar documents to “Characterization of the domain of an elliptic operator of infinitely many variables in $L^{2} (μ)$ spaces”

Non-vanishing of $n$ -th derivatives of twisted elliptic $L$ -functions in the critical point

$L^{p}$ -Estimates for linear elliptic systems with discontinuous coefficients

Dirichlet problem for a linear elliptic equation in unbounded domains with $L^{2}$ -boundary data