An Existence Family for Husimi Operator

Rogeon, Ph.; Emamirad, Hassan

doi:10.1081/tt-100107422

Transport Theory and Statistical Physics

2001

DOI: 10.1081/tt-100107422

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An Existence Family for Husimi Operator

Ph. Rogeon¹,

Hassan Emamirad²

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Cited by 4 publications

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Scattering theory for the Wigner equation

Emamirad

Rogeon

2005

Math Methods in App Sciences

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SUMMARYWe prove that the Wigner equation is well-posed in L p (R 2n ) for some potential V . From the formalism established by Markovich, we show the completeness of wave operators for the Wigner equation in L 2 . Using estimations proved by Castella and Perthame, on the one hand, and the L p → L q estimations for the Schr odinger group, on the other hand, we prove the existence of the wave operators in L 2;p spaces.

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Scattering theory for the Wigner equation

Emamirad

Rogeon

2005

Math Methods in App Sciences

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An analysis of the Wigner–Poisson problem with inflow boundary conditions

Manzini

Barletti

2005

Nonlinear Analysis: Theory, Methods & Applications

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Sur l'existence des opérateurs d'onde pour l'équation de Wigner dans les espaces L2,p

Emamirad

Rogeon

2002

Comptes Rendus. Mathématique

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An Existence Family for Husimi Operator

Cited by 4 publications

References 9 publications

Scattering theory for the Wigner equation

Scattering theory for the Wigner equation

An analysis of the Wigner–Poisson problem with inflow boundary conditions

Sur l'existence des opérateurs d'onde pour l'équation de Wigner dans les espaces L2,p

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