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First derivatives estimates for finite-difference schemes. (English) Zbl 1198.65165

Summary: We give sufficient conditions under which solutions of discretized in space second-order parabolic and elliptic equations, perhaps degenerate, admit estimates of the first derivatives in the space variables independent of the mesh size.

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
39A70 Difference operators
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References:

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