Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation
Keywords:
Kadomtsev-Petviashvili equation, smoothing effects, dispersive equations (es)
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In this article we obtain estimates of Strichartz type, of maximal type, and of local type for the linearized KPI and KPII equations. These estimates show the gain of regularity of the solutions of these equations and are obtained by a detailed analysis of the oscillatory integrals which give the solutions explicitly.
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Copyright (c) 1997 Revista Colombiana de Matemáticas

This work is licensed under a Creative Commons Attribution 4.0 International License.