Title: Fourier Analysis of Null Forms and Non-linear Wave Equations

The non-linear terms of many equations, including Wave Maps and Yang-Mills have a special, ``null'', structure. In joint work with Sergiu Klainerman, I use 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 non-linear wave equations are well posed.

1991 Mathematics Subject Classification: 35, 42

Keywords and Phrases: Null forms, restriction theorem

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