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Calcul paradifférentiel précisé et applications à des équations aux dérivées partielles non semilinéaires. (Precise paradifferential calculus and applications to non-semilinear partial differential equations) - MaRDI portal

Calcul paradifférentiel précisé et applications à des équations aux dérivées partielles non semilinéaires. (Precise paradifferential calculus and applications to non-semilinear partial differential equations) (Q1122695)

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scientific article; zbMATH DE number 4107245
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English
Calcul paradifférentiel précisé et applications à des équations aux dérivées partielles non semilinéaires. (Precise paradifferential calculus and applications to non-semilinear partial differential equations)
scientific article; zbMATH DE number 4107245

    Statements

    Calcul paradifférentiel précisé et applications à des équations aux dérivées partielles non semilinéaires. (Precise paradifferential calculus and applications to non-semilinear partial differential equations) (English)
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    1988
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    Regularity results for solutions of the equation \(f(x,u,\partial^{\beta}u)_{| \beta | \leq m}=0,\) \(f\in C^{\infty}\), are proved either in the first order case or in the case of dimension 2. To do this the author studies in a first stage a so- called precised paradifferential calculus.
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    non-semilinear
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    Regularity
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    first order
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    dimension 2
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    paradifferential calculus
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