Estimates of the Fundamental Solution for Higher Order Schrödinger Type Operators and Their Applications

We consider higher order Schrödinger type operators with nonnegative potentials. We assume that the potential belongs to the reverse Hölder class which includes nonnegative polynomials. We establish estimates of the fundamental solution and show Lp boundedness of some Schrödinger type operators.

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Bibliographic Details
Main Author: Satoko Sugano
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/435480
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