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Pseudodifferential equations in cones with conjugation points on the boundary - MaRDI portal

Pseudodifferential equations in cones with conjugation points on the boundary (Q901877)

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scientific article; zbMATH DE number 6526884
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Pseudodifferential equations in cones with conjugation points on the boundary
scientific article; zbMATH DE number 6526884

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    Pseudodifferential equations in cones with conjugation points on the boundary (English)
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    6 January 2016
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    The paper deals with the solvability of pseudo-differential equations in Sobolev spaces over certain models for non-Lipschitz singular spaces. The models are non-convex cones \(C_+\subset\mathbb{R}^m\) obtained as finite unions of disjoint convex cones \(C_j\) with common apex. A Wiener-Hopf-type factorization method is presented and the solution decompositions for \(C_+\) are assembled from associated solutions for the \(C_j\)'s.
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    pseudodifferential boundary problem
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    singular space
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    multidimensional Riemann problem
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