Viscosity solutions for weakly coupled systems of first-order partial differential equations (Q1113000)

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scientific article; zbMATH DE number 4079989
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Viscosity solutions for weakly coupled systems of first-order partial differential equations
scientific article; zbMATH DE number 4079989

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    Viscosity solutions for weakly coupled systems of first-order partial differential equations (English)
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    1988
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    This paper is concerned with some weakly coupled systems of first order partial differential equations. The coupling concerns the zero order terms and is such that, at least finally, the maximum principle holds. This context allows for an adaptation of the notion of viscosity solutions and leads to existence and uniqueness results with applications to Random evolutions.
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    weakly coupled systems
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    maximum principle
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    viscosity solutions
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    existence
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    uniqueness
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