Minimization of lowest positive periodic eigenvalue for the Camassa–Holm equation with indefinite potential
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Publication:5058620
DOI10.4064/sm211019-20-6OpenAlexW4311097809MaRDI QIDQ5058620
Publication date: 21 December 2022
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/sm211019-20-6
Camassa-Holm equationmeasure differential equationsindefinite potentialstrong continuityperiodic eigenvaluesoptimal lower bound
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)
Related Items (6)
Minimizations of positive periodic and Dirichlet eigenvalues for general indefinite Sturm-Liouville problems ⋮ Criterion for Lyapunov stability of periodic Camassa-Holm equations ⋮ Lyapunov-type stability criterion for periodic generalized Camassa-Holm equations ⋮ Sharp estimates of lowest positive Neumann eigenvalue for general indefinite Sturm-Liouville problems ⋮ Sharp bounds for Dirichlet eigenvalue ratios of the Camassa-Holm equations ⋮ Minimization of the first positive Neumann-Dirichlet eigenvalue for the Camassa-Holm equation with indefinite potential
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