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arXiv · 1709.02916

Growth of the eigensolutions of Laplacians on Riemannian manifolds II: positivity of the initial energy

Wencai Liu
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Abstract

In this paper, energy function is used to investigate the eigen-solutions of $-Δu+ Vu=λu$ on the Riemannian manifolds. We give a new way to prove the positivity of the initial energy of energy function, which leads to a simple way to obtain the growth of eigen-solutions.

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Wencai Liu. 2018-08-23. Growth of the eigensolutions of Laplacians on Riemannian manifolds II: positivity of the initial energy. https://doi.org/10.1007/s11040-018-9277-1

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