LIOUVILLE＇S THEOREM FOR LPDO WITH CONSTANT COEFFICIENTS
In this note, the authors consider a class of linear partial differential operators P(Э) with constant coefficients and prove that the operator P(Э) has Liouville property if and only if the polynomial P(iξ) doesn't have roots in R^n\{0}.
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| Veröffentlicht in: | Acta mathematica scientia 2005, Vol.25 (2), p.296-300 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this note, the authors consider a class of linear partial differential operators P(Э) with constant coefficients and prove that the operator P(Э) has Liouville property if and only if the polynomial P(iξ) doesn't have roots in R^n\{0}. |
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| ISSN: | 0252-9602 |