Evolution of the radius of spatial analyticity for the periodic BBM equation

DOI10.1090/PROC/14942zbMath1434.35161OpenAlexW2989657553WikidataQ126652194 ScholiaQ126652194MaRDI QIDQ5111507

A. Alexandrou Himonas, Gerson Petronilho

Publication date: 27 May 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14942

zbMATH Keywords

Cauchy problemanalytic spacesapproximate conservation lawalgebraic decreaseuniform radius of analyticityperiodic BBM equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (5)

Analyticity in partial differential equations ⋮ Cauchy theory for the water waves system in an analytic framework ⋮ Lower bounds on the radius of spatial analyticity of solution for KdV-BBM type equations ⋮ Improved lower bounds of analytic radius for the Benjamin-Bona-Mahony equation ⋮ On propagation of regularities and evolution of radius of analyticity in the solution of the fifth-order KdV-BBM model

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