On the optimal local regularity

for the Yang-Mills equations in

Authors:
Sergiu Klainerman and Daniel Tataru

Journal:
J. Amer. Math. Soc. **12** (1999), 93-116

MSC (1991):
Primary 58E15, 35B65, 35Q40

MathSciNet review:
1626261

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Abstract | References | Similar Articles | Additional Information

Abstract: The aim of the paper is to develop the Fourier Analysis techniques needed in the study of optimal well-posedness and global regularity properties of the Yang-Mills equations in Minkowski space-time , for the case of the critical dimension . We introduce new functional spaces and prove new bilinear estimates for solutions of the homogeneous wave equation, which can be viewed as generalizations of the well-known Strichartz-Pecher inequalities.

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Additional Information

**Sergiu Klainerman**

Affiliation:
Department of Mathematics, Princeton University, Princeton, New Jersey 08544

**Daniel Tataru**

Affiliation:
Department of Mathematics, Princeton University, Princeton, New Jersey 08544

DOI:
http://dx.doi.org/10.1090/S0894-0347-99-00282-9

Keywords:
Yang-Mills,
well-posedness,
regularity,
Strichartz

Received by editor(s):
April 1, 1997

Received by editor(s) in revised form:
March 3, 1998

Additional Notes:
The first author’s research was partially supported by NSF grant DMS-9400258.

The second author’s research was partially supported by NSF grant DMS-9622942 and by an Alfred P. Sloan fellowship.

Article copyright:
© Copyright 1999
American Mathematical Society