Self-similar Solutions of the Porous Medium Equation in a Half-space with a Nonlinear Boundary Condition. Existence and Symmetry
نویسندگان
چکیده
We find existence of a nonnegative compactly supported solution of the problem ∆u = uα in R+ , ∂u ∂ν = u on ∂R+ . Moreover, we prove that every nonnegative solution with finite energy is compactly supported and radially symmetric in the tangential variables.
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تاریخ انتشار 2003