Some recent methods for partial differential equations of divergence form (Q1416094)

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scientific article; zbMATH DE number 2016646
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Some recent methods for partial differential equations of divergence form
scientific article; zbMATH DE number 2016646

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    Some recent methods for partial differential equations of divergence form (English)
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    30 March 2004
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    Some recent methods for solving second-order nonlinear partial differential equations of divergence form and related nonlinear problems are surveyed. These methods include entropy methods via the theory of divergence-measure fields for hyperbolic conservation laws, kinetic methods via kinetic formulations for degenerate parabolic-hyperbolic equations, and free boundary methods via free boundary iterations for multi-dimensional transonic shocks for nonlinear equations of mixed elliptic-hyperbolic type.
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    partial differential equations
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    divergence form
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    mixed elliptic-hyperbolic type
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    kinetic methods
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    free boundary methods
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    divergence-measure fields
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    compensated compactness
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