Para-differential Calculus and Applications to the Cauchy Problem for Nonlinear Systems PDF ePub eBook

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Para-differential Calculus and Applications to the Cauchy Problem for Nonlinear Systems free pdf The main aim is to present at the level of beginners several modern tools of micro-local analysis which are useful for the mathematical study of nonlinear partial differential equations. The core of these notes is devoted to a presentation of the para-differential techniques, which combine a linearization procedure for nonlinear equations, and a symbolic calculus which mimics or extends the classical calculus of Fourier multipliers. These methods apply to many problems in nonlinear PDE s such as elliptic equations, propagation of singularities, boundary value problems, shocks or boundary layers. However, in these introductory notes, we have chosen to illustrate the theory on two selected and relatively simple examples, which allow becoming familiar with the techniques. They concern the well posed-ness of the Cauchy problem for systems of nonlinear PDE's, firstly hyperbolic systems and secondly coupled systems of Schrodinger equations which arise in various models of wave propagation."

About Guy Metivier

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Details Book

Author : Guy Metivier
Publisher : Scuola Normale Superiore
Data Published : 01 June 2008
ISBN : 887642329X
EAN : 9788876423291
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 140 pages
Age + : 15 years
Language : English
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  • Para-differential Calculus and Applications to the Cauchy Problem for Nonlinear Systems free pdfPara-differential Calculus and Applications to the Cauchy Problem for Nonlinear Systems

    Reading Online Free. The main aim is to present at the level of beginners several modern tools of micro-local analysis which are useful for the mathematical study of nonlinear partial differential equ