Geodesic
On the optimal local regularity for the Yang-Mills equations in ℝ⁴⁺¹
Klainerman, Sergiu1 ; Tataru, Daniel1
1 Department of Mathematics, Princeton University, Princeton, New Jersey 08544
Journal of the American Mathematical Society, Tome 12 (1999) no. 1, pp. 93-116

Voir la notice de l'article provenant de la source American Mathematical Society

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 $\mathbb {R}^{n+1}$, for the case of the critical dimension $n=4$. 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.
DOI : 10.1090/S0894-0347-99-00282-9

Klainerman, Sergiu 1 ; Tataru, Daniel 1

1 Department of Mathematics, Princeton University, Princeton, New Jersey 08544 
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Klainerman, Sergiu; Tataru, Daniel. On the optimal local regularity for the Yang-Mills equations in ℝ⁴⁺¹. Journal of the American Mathematical Society, Tome 12 (1999) no. 1, pp. 93-116. doi: 10.1090/S0894-0347-99-00282-9

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