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|a Christianson, Hans
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Staffilani, Gigliola
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|a Staffilani, Gigliola
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|a Christianson, Hans
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|a Hur, Vera Mikyoung
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|a Hur, Vera Mikyoung
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|a Staffilani, Gigliola
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|a Strichartz Estimates for the Water-Wave Problem with Surface Tension
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|b Taylor & Francis Group,
|c 2012-07-17T18:16:50Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/71655
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|a Strichartz-type estimates for one-dimensional surface water-waves under surface tension are studied, based on the formulation of the problem as a nonlinear dispersive equation. We establish a family of dispersion estimates on time scales depending on the size of the frequencies. We infer that a solution u of the dispersive equation we introduce satisfies local-in-time Strichartz estimates with loss in derivative: ... where C depends on T and on the norms of the H[superscript s]-norm of the initial data. The proof uses the frequency analysis and semiclassical Strichartz estimates for the linealized water-wave operator.
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|a National Science Foundation (U.S.) (Postdoctoral Fellowship)
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|a National Science Foundation (U.S.) (NSF grants DMS-0707647)
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|a National Science Foundation (U.S.) (NSF grant DMS-1002854)
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|a National Science Foundation (U.S.) (NSF grant DMS-0602678)
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|a en_US
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|a Article
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|t Communications in Partial Differential Equations
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