The Dirichlet Problem for Quasilinear Elliptic and Parabolic Equations

نویسندگان

  • Guy Barles
  • Elisabeth Rouy
چکیده

We prove comparison results between continuous and dis-continuous viscosity sub-and super-solutions of the generalized Dirichlet problem for quasilinear elliptic and parabolic equations. The main consequence of these results is the uniqueness of continuous solutions of such problems, when they exist.

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تاریخ انتشار 2007