Low regularity solutions for gravity water waves II: The 2D case

Albert Ai

Type: Preprint

Publication Date: 2018-01-01

Citations: 2

DOI: https://doi.org/10.48550/arxiv.1811.10504

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Works Cited by This (13)

Action	Title	Year	Authors
+	Well-posedness of the water-waves equations	2005	David Lannes
+ PDF Chat	Well-posedness in Sobolev spaces of the full water wave problem in 3-D	1999	Sijue Wu
+	The Water-Wave Equations: From Zakharov to Euler	2013	Thomas Alazard Nicolas Burq Claude Zuily
+ PDF Chat	On the Cauchy problem for gravity water waves	2012	Thomas Alazard Nicolas Burq Claude Zuily
+ PDF Chat	On Strichartz and eigenfunction estimates for low regularity metrics	1994	Hart F. Smith Christopher D. Sogge
+	Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation	2000	Daniel Tataru
+ PDF Chat	Sharp local well-posedness results for the nonlinear wave equation	2005	Hart F. Smith Daniel Tataru
+	Improved local well-posedness for quasilinear wave equations in dimension three	2003	Sergiù Klainerman Igor Rodnianski
+	The equations of motion of a perfect fluid with free boundary are not well posed.	1987	David G. Ebin
+	A Paradifferential Reduction for the Gravity-capillary Waves System at Low Regularity and Applications	2017	Thibault de Poyferré Huy Q. Nguyen