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- W4366736752 abstract "This paper provides a para-differential calculus toolbox on compact Lie groups and homogeneous spaces. It helps to understand non-local, nonlinear partial differential operators with low regularity on manifolds with high symmetry. In particular, the paper provides a para-linearization formula for the Dirichlet-Neumann operator of a distorted 2-sphere, a key ingredient in understanding long-time behaviour of spherical capillary water waves. As an initial application, the paper provides a new proof of local well-posedness for spherical capillary water waves equation under weaker regularity assumptions compared to previous results." @default.
- W4366736752 created "2023-04-24" @default.
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- W4366736752 date "2023-04-20" @default.
- W4366736752 modified "2023-10-12" @default.
- W4366736752 title "Para-differential Calculus on Compact Lie Groups and Spherical Capillary Water Waves" @default.
- W4366736752 doi "https://doi.org/10.48550/arxiv.2304.10519" @default.
- W4366736752 hasPublicationYear "2023" @default.
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