Alessio Basti

$$L^p$$ error estimates for numerical approximation of convex Hamilton–Jacobi equations

Abstract We establish $$L^p$$ L p error estimates for monotone numerical schemes approximating convex Hamilton–Jacobi equations on the d -dimensional torus. Using the adjoint method and semiconcavity estimates, we first prove an $$L^1$$ L 1 error bound of order one for classical...