Local well-posedness of the skew mean curvature flow for small data in \(d \geqq 2\) dimensions

DOI10.1007/s00205-023-01952-yarXiv2202.10632OpenAlexW4391229129MaRDI QIDQ6193978

Jiaxi Huang, Daniel Tataru

Publication date: 14 February 2024

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.10632

zbMATH Keywords

mean curvature flowRiemannian manifoldnonlinear Schrödinger evolution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on manifolds (35R01) Flows related to mean curvature (53E10)

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