Well-posedness theory for degenerate parabolic equations on Riemannian manifolds

Melanie Graf, Michael Kunzinger, Darko Mitrovic

We consider the degenerate parabolic equation $${\partial }_{t}u+\mathrm{div}{\mathfrak{f}}_{\mathbf{x}}(u)=\mathrm{div}(\mathrm{div}(A_{\mathbf{x}}(u))),\mathbf{x}\in M,t\ge 0$$…