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Hölder gradient estimates on \(L^p\)-viscosity solutions of fully nonlinear parabolic equations with VMO coefficients - MaRDI portal

Hölder gradient estimates on \(L^p\)-viscosity solutions of fully nonlinear parabolic equations with VMO coefficients (Q2063954)

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scientific article; zbMATH DE number 7451779
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English
Hölder gradient estimates on \(L^p\)-viscosity solutions of fully nonlinear parabolic equations with VMO coefficients
scientific article; zbMATH DE number 7451779

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    Hölder gradient estimates on \(L^p\)-viscosity solutions of fully nonlinear parabolic equations with VMO coefficients (English)
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    3 January 2022
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    The author proves interior \(C^{1, \alpha}\) regularity for \(L^p\)-viscosity solutions of a class of fully nonlinear uniformly parabolic equations with coefficients in VMO class under appropriate structure assumptions on the operator and the condition that \(p>n+2\).
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    fully nonlinear parabolic equations
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    regularity of solutions
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    viscosity solutions
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    vanishing mean oscillation
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