The anisotropic total variation flow. (English) Zbl 1109.35061

Summary: We prove existence and uniqueness of solutions of the anisotropic total variation flow when the initial data is an \(L^2\) function, and we give a characterization of such solutions that allows us to find explicit evolutions of sets in the presence of an anisotropy.


35K65 Degenerate parabolic equations
35K55 Nonlinear parabolic equations
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35K15 Initial value problems for second-order parabolic equations
Full Text: DOI


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