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- W4281491314 abstract "In this article we investigate a type of totally geodesic map which has its image being a geodesic in an anisotropic Riemannian manifold. We consider its nonlinear stability among the family of wave maps. We first establish the factorization property and then formulate the stability problem into a PDE system in a specially constructed chart of geodesic normal coordinates. With a generalization of the hyperboloidal foliation, we establish the global existence result associate to small initial data for this PDE system, which leads to the geometric stability." @default.
- W4281491314 created "2022-05-26" @default.
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- W4281491314 date "2022-04-26" @default.
- W4281491314 modified "2023-10-14" @default.
- W4281491314 title "Nonlinear stability of the totally geodesic wave maps in non-isotropic manifolds" @default.
- W4281491314 doi "https://doi.org/10.48550/arxiv.2204.12525" @default.
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