Asymptotic behavior of solutions to a higher-order KdV-type equation with critical nonlinearity

DOI10.3934/eect.2019027zbMath1428.35464arXiv1805.12367OpenAlexW2806207290WikidataQ127803819 ScholiaQ127803819MaRDI QIDQ2327327

Mamoru Okamoto

Publication date: 14 October 2019

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.12367

zbMATH Keywords

asymptotic behaviorself-similar solutioncritical nonlinearityhigher-order KdV-type equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Self-similar solutions to PDEs (35C06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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