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Hölder estimate for the solution of degenerate parabolic equations - MaRDI portal

Hölder estimate for the solution of degenerate parabolic equations (Q1100626)

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scientific article; zbMATH DE number 4044329
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Hölder estimate for the solution of degenerate parabolic equations
scientific article; zbMATH DE number 4044329

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    Hölder estimate for the solution of degenerate parabolic equations (English)
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    1987
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    Consider the degenerate parabolic equations of the type \[ u_ t=div A(x,t,u,Du)+b(x,t,u,Du), \] which is of the same nature as \[ u_ t=div| Du|^ p Du+| Du|^{p+2}\quad (p>2). \] This paper is to study the \(C^{1+\alpha,(1+\alpha)/2}\) Hölder continuity of a class of degenerate parabolic equations and the existence and uniqueness of the initial boundary value problem.
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    Hölder continuity
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    existence
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    uniqueness
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    initial boundary value problem
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