Korteweg–de Vries Equation

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2009 English Publisher:Springer New York

Authors: Felipe Linares; Gustavo Ponce;

doi: 10.1007/978-1-4939-2181-2_7 , 10.1007/978-0-387-84899-0_7

Korteweg–de Vries Equation

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Abstract

In this chapter we study the local well-posedness (LWP) for the initial value problem (IVP) associated to the generalized KdV equation. We discuss the local theory for the KdV equation, the modified KdV equation, and the generalized KdV equations. We also show the sharpness of some of these results. We end the chapter with some remarks and comments regarding the issues discussed in the previous sections.

Related Organizations

University of California, Santa Barbara
United States
University of California, San Francisco
United States
Instituto Nacional de Matemática Pura e Aplicada
Brazil

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