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Gain of Regularity for the KP-I Equation
Levandosky, Julie...
Gain of Regularity for the KP-I Equation by Levandosky, Julie ( Author )
N.A
15-08-2007
In this paper we study the smoothness properties of solutions to the KP-I equation. We show that the equation's dispersive nature leads to a gain in regularity for the solution. In particular, if the initial data ϕ possesses certain regularity and sufficient decay as x→∞, then the solution u(t) will be smoother than ϕ for 0<t≤T where T is the existence time of the solution.
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Article
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36.88 KB
English
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MYR 0.00
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https://arxiv.org/abs/0708.2102
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