Analyticity of the solutions of linear and semilinear partial differential equations (Q2720953)

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scientific article; zbMATH DE number 1611753
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Analyticity of the solutions of linear and semilinear partial differential equations
scientific article; zbMATH DE number 1611753

    Statements

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    1 July 2001
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    analytic hypoellipticity
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    torus
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    semilinear partial differential operator
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    locally non-analytic hypoelliptic operators
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    Analyticity of the solutions of linear and semilinear partial differential equations (English)
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    This paper deals with the analyticity of the solutions of several classes of linear and semilinear partial differential operators with analytic coefficients on the torus. Theorems 1, 2 deal with several classes of locally non-analytic hypoelliptic operators which turn out to be analytic hypoelliptic on the torus, i.e. globally.
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