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Titlebook: Introduction to Nonlinear Dispersive Equations; Felipe Linares,Gustavo Ponce Textbook 2015Latest edition Springer-Verlag New York 2015 Kor

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,Korteweg–de Vries Equation, 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.
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Introduction to Nonlinear Dispersive Equations978-1-4939-2181-2Series ISSN 0172-5939 Series E-ISSN 2191-6675
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An Introduction to Sobolev Spaces and Pseudo-Differential Operators,d they are a fundamental tool in the study of partial differential equations. We also will list some basic facts of the theory of pseudo-differential operators without proof. This will be useful to study smoothness properties of solutions of dispersive equations.
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