TY - JOUR
T1 - Lower bound on the radius of analyticity of solution for fifth order KdV–BBM equation
AU - Belayneh, Birilew
AU - Tegegn, Emawayish
AU - Tesfahun, Achenef
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2022/1
Y1 - 2022/1
N2 - We show that the uniform radius of spatial analyticity σ(t) of solution at time t for the fifth order KdV–BBM equation cannot decay faster than 1/t for large t> 0 , given initial data that is analytic with fixed radius σ. This significantly improves a recent result by Carvajal and Panthee (On the radius of analyticity for the solution of the fifth order KdV–BBM model, 2020. arXiv:2009.09328) , where they established an exponential decay of σ(t) for large t.
AB - We show that the uniform radius of spatial analyticity σ(t) of solution at time t for the fifth order KdV–BBM equation cannot decay faster than 1/t for large t> 0 , given initial data that is analytic with fixed radius σ. This significantly improves a recent result by Carvajal and Panthee (On the radius of analyticity for the solution of the fifth order KdV–BBM model, 2020. arXiv:2009.09328) , where they established an exponential decay of σ(t) for large t.
KW - Gevrey spaces
KW - Global well-posedness lower bound
KW - KdV–BBM equation
KW - Radius of analyticity
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U2 - 10.1007/s00030-021-00738-z
DO - 10.1007/s00030-021-00738-z
M3 - Article
AN - SCOPUS:85120995157
SN - 1021-9722
VL - 29
JO - Nonlinear Differential Equations and Applications
JF - Nonlinear Differential Equations and Applications
IS - 1
M1 - 6
ER -