Výsledky vyhledávání - "Lemle, Ludovic Dan"

Akademický článek

On the Lie–Trotter approximation formula

Autor: Lemle, Ludovic Dan

Publikováno v: In Journal of Computational and Applied Mathematics February 2024 437

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Domains of uniqueness for $C_0$-semigroups on the dual of a Banach space

Autor: Lemle, Ludovic Dan

Let $({\cal X},\|\:.\:\|)$ be a Banach space. In general, for a $C_0$-semigroup \semi on $({\cal X},\|\:.\:\|)$, its adjoint semigroup \semia is no longer strongly continuous on the dual space $({\cal X}^{*},\|\:.\:\|^{*})$. Consider on ${\cal X}^{*}

Externí odkaz: http://arxiv.org/abs/0806.1428

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$L^\infty$-Uniqueness of Generalized SCHR\'Odinger Operators

Autor: Lemle, Ludovic Dan

The main purpose of this paper is to show that the generalized Schr\"odinger operator ${\cal A}^Vf={1/2}\Delta f+b\nabla f-Vf$, $f\in C_0^\infty(\R^d)$, is a pre-generator for which we can prove its $L^\infty(\R^d,dx)$-uniqueness. Moreover, we prove

Externí odkaz: http://arxiv.org/abs/0801.2755

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$L^\infty$-uniqueness of Schr\'odinger operators restricted in an open domain

Autor: Lemle, Ludovic Dan

Consider the Schr\"odinger operator ${\cal A}=-\frac{\Delta}{2}+V$ acting on space $C_0^\infty(D)$, where $D$ is an open domain in $\R^d$. The main purpose of this paper is to present the $L^\infty(D,dx)$-uniqueness for Schr\"odinger operators which

Externí odkaz: http://arxiv.org/abs/0712.2411

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Uniqueness of a pre-generator for $C_0$-semigroup on a general locally convex vector space

Autor: Lemle, Ludovic Dan, Wu, Liming

The main purpose is to generalize a theorem of Arendt about uniqueness of $C_0$-semigroups from Banach space setting to the general locally convex vector spaces, more precisely, we show that cores are the only domains of uniqueness for $C_0$-semigrou

Externí odkaz: http://arxiv.org/abs/0712.2406

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La formule de Lie-Trotter pour les semi-groupes fortement continus

Autor: Lemle, Ludovic Dan

Publikováno v: Memoire de recherche no.8/2003, l'Institut Girard Desargues, CNRS UMR5028, Lyon (05/2003)

In this research project we presents the general properties, the spectral properties and the representation formulas for $C_0$-semigroups of linear operators in Banach spaces
Comment: 136 pages

Externí odkaz: http://arxiv.org/abs/0704.1399

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