existence and uniqueness results for quasi-linear elliptic equations with nonlinear boundary conditions
Erratum: A Parabolic Quasilinear Problem for Linear Growth Functionals.
The Cauchy problem for a strongly degenerate quasilinear equation
We prove existence and uniqueness of entropy solutions for the Cauchy problem for the quasilinear parabolic equation , where , and is a convex function of with linear growth as , satisfying other additional assumptions. In particular, this class includes a relativistic heat equation and a flux limited diffusion equation used in the theory of radiation hydrodynamics.
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