Mathematics – Analysis of PDEs
Scientific paper
1999-12-26
Mathematics
Analysis of PDEs
To appear in Annales Scientifiques L'Ecole Normale Superieure
Scientific paper
The authors show that bilinear estimates for null forms hold for
Dirichlet-wave equations outside of convex obstacle. This generalizes results
for the Euclidean case of Klainerman and Machedon, and of Sogge for the
variable coefficient boundaryless case. The estimates are used to prove a local
existence theorem for semilinear wave equations satisfying the null condition.
Smith Hart
Sogge Christopher D.
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