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Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition - MaRDI portal

Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition (Q6175783)

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scientific article; zbMATH DE number 7730068
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Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition
scientific article; zbMATH DE number 7730068

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    Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition (English)
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    18 August 2023
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    On a complete Riemannian manifold with integral Ricci curvature condition, the author states that a smooth solution of exponential growth of a suitable parabolic Schrödinger equation is analytic in the Cartesian product of a geodesic ball with a unit interval (Theorem 2.1).
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    time analyticity
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    parabolic type Schrödinger equation
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    heat equation
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    mean value formula
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