Mellin and Green symbols for boundary value problems on manifolds with edges |
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Authors: | Elmar Schrohe B -W Schulze |
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Institution: | (1) Institut für Mathematik, Universität Potsdam, 14415 Potsdam, Germany |
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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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Keywords: | Primary 35 S 15 Secondary 58 G 20 46 E 35 46 H 35 |
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