Geodesic
Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III
Tataru, Daniel1, 2
1Department of Mathematics, Northwestern University, Evanston, Illinois 60208
2Department of Mathematics, University of California, Berkeley, California 94720
Journal of the American Mathematical Society, Tome 15 (2002) no. 2, pp. 419-442
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In an earlier work of the author it was proved that the Strichartz estimates for second order hyperbolic operators hold in full if the coefficients are of class $C^2$. Here we strengthen this and show that the same holds if the coefficients have two derivatives in $L^1(L^\infty )$. Then we use this result to improve the local theory for second order nonlinear hyperbolic equations.
DOI : 10.1090/S0894-0347-01-00375-7

Tataru, Daniel  1 , 2

1 Department of Mathematics, Northwestern University, Evanston, Illinois 60208
2 Department of Mathematics, University of California, Berkeley, California 94720 
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Tataru, Daniel. Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III. Journal of the American Mathematical Society, Tome 15 (2002) no. 2, pp. 419-442. doi: 10.1090/S0894-0347-01-00375-7

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