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Unbounded Solutions of the Modified Korteweg-De Vries Equation

 

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In this dissertation we prove local existence and uniqueness of solutions of the focusing modified Korteweg - de Vries equation u_t + u^2u_x + u_{xxx} = 0 in classes of unbounded functions that admit an asymptotic expansion at infinity in decreasing powers of $x$. We show that an asymptotic solution differs from a genuine solution by a smooth function that is of Schwartz class with respect to $x$ and that solves a generalized version of the focusing mKdV equation. The latter equation is solved by discretization methods. The text is written for researchers of partial differential equations but all proofs are given with full details and the text should be accessible to graduate students of mathematics.

Product Specifications
SKU :COC39375
AuthorJohn Gonzalez
LanguageEnglish
BindingPaperback
Number of Pages100
Publishing Year2010-06-06T00:00:00.000
ISBN978-3838363547
Edition203 st
Book TypeReal analysis, real variables
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-01-08 00:00:00
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