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A new formulation of local boundary value problem in the framework of hyperfunctions. II - MaRDI portal

A new formulation of local boundary value problem in the framework of hyperfunctions. II (Q1092318)

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scientific article; zbMATH DE number 4019562
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English
A new formulation of local boundary value problem in the framework of hyperfunctions. II
scientific article; zbMATH DE number 4019562

    Statements

    A new formulation of local boundary value problem in the framework of hyperfunctions. II (English)
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    1985
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    [For part I see ibid. 60, 283-286 (1984; Zbl 0576.35017).] The author studies micro-local boundary value problems for systems of linear partial differential equations with non-characteristic boundary and for single equations with regular singularities. He first shows that the boundary value homomorphism for hyperfunction solutions and that of F-mild hyperfunction solutions coincides for the non-characteristic case. He shows the existence of a boundary value homomorphism for microfunction solutions and announces a microlocal version of Holmgren's theorem for hyperfunction solutions.
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    micro-local boundary value problems
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    non-characteristic boundary
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    regular singularities
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    boundary value homomorphism
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    hyperfunction solutions
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    F- mild hyperfunction solutions
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    existence
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    microfunction solutions
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    Holmgren's theorem
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