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Degenerate homogeneous parabolic equations associated with the infinity-Laplacian by Portilheiro, Manuel; Vázquez, Juan Luis is a scholarly article available to read on EtoBox.

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We prove existence and uniqueness of viscosity solutions to the degenerate parabolic problem $u_t = \Delta_\infty^h u$ where $\Delta_\infty^h$ is the $h$-homogeneous operator associated with the infinity-Laplacian, $\Delta_\infty^h u = |Du|^{h-3} < D^2uDu,Du>$. We also derive the asymptotic behavior of $u$ for the problem posed in the whole space and for the Dirichlet problem with zero boundary conditions.

Author

Portilheiro, Manuel; Vázquez, Juan Luis

Published

2010

Language

EN