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Title of Journal: Acta Math Appl Sin Engl Ser

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Abbravation: Acta Mathematicae Applicatae Sinica, English Series

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Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society

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DOI

10.1007/s12558-015-0400-y

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ISSN

1618-3932

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New approach to differential equations with counta

Authors: HongKun Zhang JinGuo Lian Jiong Sun
Publish Date: 2011/03/12
Volume: 27, Issue: 2, Pages: 255-262
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Abstract

This paper provides a new approach to study the solutions of a class of generalized Jacobi equations associated with the linearization of certain singular flows on Riemannian manifolds with dimension n + 1 A new class of generalized differential operators is defined We investigate the kernel of the corresponding maximal operators by applying operator theory It is shown that all nontrivial solutions to the generalized Jacobi equation are hyperbolic in which there are n dimension solutions with exponentialdecaying amplitude

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