A Finsler type Lipschitz optimal transport metric for a quasilinear wave equation
نویسندگان
چکیده
We consider the global well-posedness of weak energy conservative solution to a general quasilinear wave equation through variational principle, where may form finite time cusp singularity, when concentrates. As main result in this paper, we construct Finsler type optimal transport metric, then prove that flow is Lipschitz under metric. also generic regularity by applying Thom's transversality theorem, find piecewise smooth transportation paths among dense set solutions. The results paper are for large data solutions, without restriction on size
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2023
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2023.01.035