Minimization of the first positive Neumann-Dirichlet eigenvalue for the Camassa-Holm equation with indefinite potential

DOI10.1016/j.jde.2024.02.009OpenAlexW4392091345MaRDI QIDQ6192172

Ji-jun Ao, Haiyan Henry Zhang

Publication date: 11 March 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2024.02.009

zbMATH Keywords

eigenvalueminimizationCamassa-Holm equationindefinite potentialmeasure differential equation

Mathematics Subject Classification ID

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)

Cites Work

• The inverse spectral problem for indefinite strings
• On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations
• Extremal eigenvalues of measure differential equations with fixed variation
• Global conservative solutions of the Camassa-Holm equation
• Continuity in weak topology: higher order linear systems of ODE
• Volterra-Stieltjes integral equations and generalized ordinary differential expressions
• Quasi-periodicity with respect to time of spatially periodic finite-gap solutions of the Camassa-Holm equation
• On the spectral problem for the periodic Camassa-Holm equation
• On the Cauchy problem for the periodic Camassa-Holm equation
• Floquet theory for left-definite Sturm-Liouville problems
• On the number and complete continuity of weighted eigenvalues of measure differential equations.
• Dependence of solutions and eigenvalues of measure differential equations on measures
• Non-uniform continuity of the generalized Camassa-Holm equation in Besov spaces
• Continuity and minimization of spectrum related with the periodic Camassa-Holm equation
• On the optimization problems of the principal eigenvalues of measure differential equations with indefinite measures
• Trace formulas and continuous dependence of spectra for the periodic conservative Camassa-Holm flow
• Optimal lower bound for the first eigenvalue of the fourth order equation
• Ill-posedness for the Camassa-Holm and related equations in Besov spaces
• Extremal norms of the potentials recovered from inverse Dirichlet problems
• On the spectral functions of the string
• A shallow water equation on the circle
• An integrable shallow water equation with peaked solitons
• Minimization of lowest positive periodic eigenvalue for the Camassa–Holm equation with indefinite potential
• Extremal problems for eigenvalues of measure differential equations
• Minimization of eigenvalues for the Camassa–Holm equation
• Minimizations of positive periodic and Dirichlet eigenvalues for general indefinite Sturm-Liouville problems
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