Geodesic
Fourier analysis of null forms and nonlinear wave equations
Documenta mathematica, ICM Berlin 1998, Vol. III (1998), pp. 49-55.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

The nonlinear terms of many equations, including wave maps and Yang-Mills have a special, "null", structure. In joint work with Sergiu Klainerman, the author uses techniques of Fourier analysis, such as generalizations and refinements of the restriction theorem applied to null forms to study the optimal Sobolev space in which such nonlinear wave equations are well posed.
Classification : 35L70, 42B35, 58J45
Keywords: restriction theorem, well-posedness, optimal Sobolev space 
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     author = {Machedon, M.},
     title = {Fourier analysis of null forms and nonlinear wave equations},
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     year = {1998},
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Machedon, M. Fourier analysis of null forms and nonlinear wave equations. Documenta mathematica, ICM Berlin 1998, Vol. III (1998), pp. 49-55. http://geodesic.mathdoc.fr/item/DOCMA_1998__S9__a73/