On the second-order Fréchet derivatives of eigenvalues of Sturm-Liouville problems in potentials
DOI10.1007/s00013-019-01351-4zbMath1431.34089arXiv1903.07794OpenAlexW2953836294MaRDI QIDQ2316822
Meirong Zhang, Guixin Xu, Shu-Yuan Guo
Publication date: 7 August 2019
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.07794
potentialeigenvalueSturm-Liouville problemeigenfunctionFréchet derivativesconcavity of eigenvalue in potential
Fréchet and Gateaux differentiability in optimization (49J50) Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
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Cites Work
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