New lower bounds for the radius of analyticity for the mKdV equation and a system of mKdV-type equations

DOI10.1007/s00028-024-00977-4zbMath1541.35423MaRDI QIDQ6544527

Renata O. Figueira, Mahendra Panthee

Publication date: 27 May 2024

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

zbMATH Keywords

well-posednessinitial value problemmodified KdV equationFourier restriction normGevrey spacesspatial analyticityradius of analyticitysystem of mKdV equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Analyticity in context of PDEs (35A20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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