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Lp boundedness for parabolic Schrödinger type operators with certain nonnegative potentials
-
Lin Tang
and
Jinsheng Han
Published/Copyright:
April 13, 2010
Abstract
In this paper, we consider the parabolic Schrödinger differential operators ∂t – Δ + V(x), where the nonnegative potential V belongs to the reverse Hölder class Bq for q ≥ n/2. The Lp estimates for these operators (∂t – Δ + V)iγ (γ ∈ ℝ) and ∇(∂t – Δ + V)–1/2 are obtained.
Keywords.: Schrödinger type operator; nonnegative potentials
Received: 2009-02-06
Published Online: 2010-04-13
Published in Print: 2011-January
© de Gruyter 2011
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Articles in the same Issue
- Semi-classical limits of the first eigenfunction and concentration on the recurrent sets of a dynamical system
- Ree geometries
- Centralisers of finite subgroups in soluble groups of type FPn
- Visibility and diameter maximization of convex bodies
- The Bergman kernel and mass equidistribution on the Siegel modular variety
- Lp boundedness for parabolic Schrödinger type operators with certain nonnegative potentials
- Weighted Strichartz estimates with angular regularity and their applications
- Classification of (1, 2)-Grassmann secant defective threefolds
