Details
Original language | English |
---|---|
Pages (from-to) | 339-363 |
Number of pages | 25 |
Journal | Integral Equations and Operator Theory |
Volume | 34 |
Issue number | 3 |
Publication status | Published - Sept 1999 |
Externally published | Yes |
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.
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Algebra and Number Theory
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Integral Equations and Operator Theory, Vol. 34, No. 3, 09.1999, p. 339-363.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Mellin and Green symbols for boundary value problems on manifolds with edges
AU - Schrohe, Elmar
AU - Schulze, B. W.
N1 - Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1999/9
Y1 - 1999/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0012809228&partnerID=8YFLogxK
U2 - 10.1007/BF01300583
DO - 10.1007/BF01300583
M3 - Article
AN - SCOPUS:0012809228
VL - 34
SP - 339
EP - 363
JO - Integral Equations and Operator Theory
JF - Integral Equations and Operator Theory
SN - 0378-620X
IS - 3
ER -