Decay Rate on the Radius of Spatial Analyticity to Solutions for the Modified Camassa–Holm Equation

Tegegne Getachew

Journal of Mathematics, 2025, vol. 2025, 1-11

Abstract: The initial value problem associated with the modified Camassa–Holm equation for initial data u0x that is analytic on the line and having uniform radius of spatial analyticity σ0 is considered. We have shown the persistence of the radius of spatial analyticity till some time δ. Thus, for large time t≥δ, we proved that the radius of spatial analyticity σt of solutions is bounded from below by ct−1/2β for some 0

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7611055

DOI: 10.1155/jom/7611055

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