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Uniqueness of viscosity solutions of fully nonlinear second order parabolic equations with discontinuous time-dependence - MaRDI portal

Uniqueness of viscosity solutions of fully nonlinear second order parabolic equations with discontinuous time-dependence (Q1174400)

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scientific article; zbMATH DE number 8651
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Uniqueness of viscosity solutions of fully nonlinear second order parabolic equations with discontinuous time-dependence
scientific article; zbMATH DE number 8651

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    Uniqueness of viscosity solutions of fully nonlinear second order parabolic equations with discontinuous time-dependence (English)
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    25 June 1992
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    The paper gives some sufficient conditions under which a comparison theorem can be proved for viscosity subsolution and supersolution of the Cauchy problem for the scalar fully nonlinear parabolic second-order equations. The uniqueness of the viscosity solutions follows then from this maximum principle type theorem.
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    comparison theorem
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    Cauchy problem
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