A fourth-order dispersive flow equation for closed curves on compact Riemann surfaces

DOI10.1007/s12220-017-9808-1zbMath1390.53071arXiv1606.03915OpenAlexW2962941907MaRDI QIDQ1747554

Eiji Onodera

Publication date: 8 May 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03915

zbMATH Keywords

energy methodgauge transformationgeometric analysisloss of derivativesconstant sectional curvaturelocal existence and uniquenessdispersive flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

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Uniqueness Of 1D generalized bi-Schrödinger flow, Local existence of a fourth-order dispersive curve flow on locally Hermitian symmetric spaces and its application

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