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      Partial Schauder estimates for second-order elliptic and parabolic equations

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          Abstract

          We establish Schauder estimates for both divergence and non-divergence form second-order elliptic and parabolic equations involving H\"older semi-norms not with respect to all, but only with respect to some of the independent variables.

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          Most cited references7

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          Parabolic and Elliptic Equations with VMO Coefficients

          N. Krylov (2007)
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            Schauder estimates by scaling

            Leon Simon (1997)
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              Schauder Estimates for Elliptic and Parabolic Equations*

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                Author and article information

                Journal
                09 May 2010
                Article
                10.1007/s00526-010-0348-9
                1005.1429
                97bf0774-bfbc-4942-a031-765719068da8

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Calc. Var. Partial Differential Equations, 40 (2011), no. 3-4, 481-500
                CVPDE, accepted (2010).
                math.AP

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