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Boundary propagation of singularities for nonlinear second order Dirichlet problems - MaRDI portal

Boundary propagation of singularities for nonlinear second order Dirichlet problems (Q1813940)

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scientific article; zbMATH DE number 5413
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Boundary propagation of singularities for nonlinear second order Dirichlet problems
scientific article; zbMATH DE number 5413

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    Boundary propagation of singularities for nonlinear second order Dirichlet problems (English)
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    25 June 1992
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    For the Dirichlet problem for second-order nonlinear PDE of real principal type in an \(n\)-dimensional domain with smooth noncharacteristic boundary the author proves the propagation of \(H^{s'}\)-singularities of real-valued \(H^ s\)-solutions along bicharacteristic curves for \(s>5+{n\over 2}\) and \(s'<2s-{n\over 2} -{9\over 2}\).
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    singularities
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    Dirichlet problem
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    bicharacteristic curves
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