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Solvability of the Cauchy problem for some operators of Schrödinger type - MaRDI portal

Solvability of the Cauchy problem for some operators of Schrödinger type (Q1269354)

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scientific article; zbMATH DE number 1217274
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Solvability of the Cauchy problem for some operators of Schrödinger type
scientific article; zbMATH DE number 1217274

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    Solvability of the Cauchy problem for some operators of Schrödinger type (English)
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    26 July 1999
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    The author determines various conditions in order to insure the well-posedness, for the future and the past, of the non-characteristic Cauchy problem. In particular, the operator is assumed to have all its characteristic roots real, multiple, and of constant multiplicity equal to 2. Under this assumption, conditions of Levi-type and of good decomposition are proposed, which can be necessary or sufficient for the well-posedness.
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    well-posedness
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    hyperbolic operators
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    Cauchy problem
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    Levi-type conditions
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