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Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation

Name: Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
Keywords: KdV equations (Korteweg-de Vries equations), well-posedness, Korteweg-de Vries equation, Generalized solutions to partial differential equations, uniqueness, initial value problem, Initial value problems for nonlinear higher-order PDEs

Well-posedness of the initial value problem for the Korteweg-de Vries equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1991Publisher:JSTORJournal:Journal of the American Mathematical Society, volume 4, page 323 (issn: 0894-0347,

Authors: Gustavo Ponce; Carlos E. Kenig; Luis Vega;

doi: 10.2307/2939277 , 10.1090/s0894-0347-1991-1086966-0

Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation

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Abstract

The author develops a mathematical theory of the initial value problem for the Korteweg-de Vries equation. A number of theorems is presented for the uniqueness and convergence of solutions. The paper will be very useful for theoretical analysts in this area.

Keywords

KdV equations (Korteweg-de Vries equations), well-posedness, Korteweg-de Vries equation, Generalized solutions to partial differential equations, uniqueness, initial value problem, Initial value problems for nonlinear higher-order PDEs

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	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	479
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	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 0.1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%

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