Displaying similar documents to “Analytic inversion of adjunction: L 2 extension theorems with gain”

Resonances and Spectral Shift Function near the Landau levels

Jean-François Bony, Vincent Bruneau, Georgi Raikov (2007)

Annales de l’institut Fourier

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We consider the 3D Schrödinger operator H = H 0 + V where H 0 = ( - i ∇ - A ) 2 - b , A is a magnetic potential generating a constant magneticfield of strength b > 0 , and V is a short-range electric potential which decays superexponentially with respect to the variable along the magnetic field. We show that the resolvent of H admits a meromorphic extension from the upper half plane to an appropriate Riemann surface ℳ , and define the resonances of H as the poles of this meromorphic extension. We study their distribution near...

Fokker-Planck equation in bounded domain

Laurent Chupin (2010)

Annales de l’institut Fourier

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We study the existence and the uniqueness of a solution  ϕ to the linear Fokker-Planck equation - Δ ϕ + div ( ϕ F ) = f in a bounded domain of  ℝ d when F is a “confinement” vector field. This field acting for instance like the inverse of the distance to the boundary. An illustration of the obtained results is given within the framework of fluid mechanics and polymer flows.

L 2 extension of adjoint line bundle sections

Dano Kim (2010)

Annales de l’institut Fourier

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We prove an extension theorem of Ohsawa-Takegoshi type for line bundle sections on a subvariety of general codimension in a normal projective variety. Our method of proof gives conditions to be satisfied for such extension in a general setting, while such conditions are satisfied when the subvariety is given by an appropriate multiplier ideal sheaf.