Abstract: Let Ω⊂ℜ2 be an open set and let f∈C2(ℜ) with f''>0. In this note we prove that entropy solutions of Dtu + Dxf(u)=0 belong to SBVloc(Ω). As a corollary we prove the same property for gradients of viscosity solutions of planar Hamilton--Jacobi PDEs with uniformly convex hamiltonians.
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