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A priori estimates for solutions to systems of nonlinear parabolic equations - MaRDI portal

A priori estimates for solutions to systems of nonlinear parabolic equations (Q1575963)

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scientific article; zbMATH DE number 1495296
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A priori estimates for solutions to systems of nonlinear parabolic equations
scientific article; zbMATH DE number 1495296

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    A priori estimates for solutions to systems of nonlinear parabolic equations (English)
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    24 August 2000
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    The Cauchy problem is considered for systems of second-order nonlinear parabolic equations weakly coupled over derivatives of first and zero-order. Some a~priori estimates of solutions are proven in the space \(C^{2+\alpha}\). The proof rests on reducing the~system to a parabolic equation.
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    Hölder estimates
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