Inverse-Definiteness of the Fourth-Order Symmetric Differential Operator （Ⅰ）

作者：WeiYinYE线性均衡微分算子无限格林方程sobolev空间一致收敛

摘要：We give a linear symmetric differential operator L defined by L:= D^4 + bD^2 + aI in the 2π-periodic function space, and study the inverse-definiteness property of L. We obtain a complete result about the inverse-definiteness property of L with real constants a and b when b^2-4a > 0 and a- bk^2 + k^4 ≠ 0 for any k ∈ {1,2,3,... }.

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