Direct and inverse spectral theory of singular left-definite Sturm-Liouville operators

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:253

Article

Eckhardt, Jonathan

关键词: Sturm-Liouville theory;    Left-definite problems;    Spectral theory;   

DOI  :  10.1016/j.jde.2012.04.006

来源: Elsevier

【 摘 要 】

We discuss direct and inverse spectral theory of self-adjoint Sturm-Liouville relations with separate boundary conditions in the left-definite setting. In particular, we develop singular Weyl-Titchmarsh theory for these relations. Consequently, we apply de Branges' subspace ordering theorem to obtain inverse uniqueness results for the associated spectral measure. The results can be applied to solve the inverse spectral problem associated with the Camassa-Holm equation. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free