The Aleksandrov maximum principle for viscosity supersolutions of parabolic nonlinear equations (Q1803353)
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scientific article; zbMATH DE number 220702
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Aleksandrov maximum principle for viscosity supersolutions of parabolic nonlinear equations |
scientific article; zbMATH DE number 220702 |
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The Aleksandrov maximum principle for viscosity supersolutions of parabolic nonlinear equations (English)
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29 June 1993
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The fully nonlinear parabolic equation \[ u_ t-F(x,t,u,Du,D^ 2u)=0, \quad (x,t)\in Q \tag{*} \] is considered, where F is a uniformly elliptic operator. For viscosity supersolutions of equation (*) the author gives a clear and correct proof of the Aleksandrov maximum principle which has not been proved by \textit{L.Wang} [On the redularity theory of fully nonlinear parabolic equations, Diss.(1989)].
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Aleksandrov maximum principle
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viscosity supersolutions
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uniformly elliptic operator
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