Maximal Regularity of the Discrete Harmonic Oscillator Equation
We give a representation of the solution for the best approximation of the harmonic oscillator equation formulated in a general Banach space setting, and a characterization of lp-maximal regularity—or well posedness—solely in terms of R-boundedness properties of the resolvent o...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2009-01-01
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Series: | Advances in Difference Equations |
Online Access: | http://dx.doi.org/10.1155/2009/290625 |
Summary: | We give a representation of the solution for the best approximation of the harmonic oscillator equation formulated in a general Banach space setting, and a characterization of lp-maximal regularity—or well posedness—solely in terms of R-boundedness properties of the resolvent operator involved in the equation. |
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ISSN: | 1687-1839 1687-1847 |