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Mellin and Green symbols for boundary value problems on manifolds with edges

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Abstract

We introduce the algebra of smoothing Mellin and Green symbols in a pseudodifferential calculus for manifolds with edges. In addition, we define scales of weighted Sobolev spaces with asymptotics based on the Mellin transform and analyze the mapping properties of the operators on these spaces. This will allow us to obtain complete information on the regularity and asymptotics of solutions to elliptic equations on these spaces.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Potsdam, 14415, Potsdam, Germany

    Elmar Schrohe & B. -W. Schulze

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  1. Elmar Schrohe
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  2. B. -W. Schulze
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Schrohe, E., Schulze, B.W. Mellin and Green symbols for boundary value problems on manifolds with edges. Integr equ oper theory 34, 339–363 (1999). https://doi.org/10.1007/BF01300583

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