A Smooth Solution for a Keldysh Type Equation
نویسنده
چکیده
We solve the Dirichlet problem for a nonlinear degenerate elliptic equation that arises in modeling weak shock reeection at a wedge. The equation exhibits a nonlinear version of a degeneracy rst studied by Keldysh. Using monotone operator techniques, we prove existence of a weak solution in a weighted Sobolev space. For negative boundary data, the solution is smooth up to the degenerate boundary. By contrast , we showed in 4] that positive boundary data lead to solutions with unbounded gradients at the degenerate boundary.
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تاریخ انتشار 1996