TY  - THES
A1  - Rungrottheera, Wannarut
T1  - Corner pseudo-differential operators
Y1  - 2013
CY  - Potsdam
ER  - 
TY  - JOUR
A1  - Rungrottheera, Wannarut
A1  - Schulze, Bert-Wolfgang
T1  - Weighted spaces on corner manifolds
JF  - Complex variables and elliptic equations
N2  - We study spaces on manifolds with double weights and iterated discrete and continuous asymptotics, and their relationship with corner pseudo-differential operators.
KW  - manifolds with corners
KW  - iterated asymptotics
KW  - operators with corner symbols
KW  - 35J70
KW  - 47G30
KW  - 58J40
Y1  - 2014
U6  - https://doi.org/10.1080/17476933.2013.876416
SN  - 1747-6933
SN  - 1747-6941
VL  - 59
IS  - 12
SP  - 1706
EP  - 1738
PB  - Routledge, Taylor & Francis Group
CY  - Abingdon
ER  - 
TY  - JOUR
A1  - Rungrottheera, Wannarut
A1  - Schulze, Bert-Wolfgang
A1  - Wong, M. W.
T1  - Iterative properties of pseudo-differential operators on edge spaces
JF  - Journal of pseudo-differential operators and applications
N2  - Pseudo-differential operators with twisted symbolic estimates play a large role in the calculus on manifolds with edge singularities. We study here aspects of the underlying abstract concept and establish a new result on iteration of quantizations.
KW  - Pseudo-differential operators
KW  - Twisted symbolic estimates
KW  - Quantizations
Y1  - 2014
U6  - https://doi.org/10.1007/s11868-014-0100-x
SN  - 1662-9981
SN  - 1662-999X
VL  - 5
IS  - 4
SP  - 455
EP  - 479
PB  - Springer
CY  - Basel
ER  - 
TY  - JOUR
A1  - Rungrottheera, Wannarut
A1  - Lyu, Xiaojing
A1  - Schulze, Bert-Wolfgang
T1  - Parameter-dependent edge calculus and corner parametrices
JF  - Journal of nonlinear and convex analysis : an international journal
N2  - Let B be a compact manifold with smooth edge of dimension > 0. We study the interplay between parameter-dependent edge algebra algebra on B and operator families belonging to the corner calculus, and we characterize parametrices in the corner case.
KW  - Edge calculus
KW  - corner parametrices
Y1  - 2018
SN  - 1345-4773
SN  - 1880-5221
VL  - 19
IS  - 12
SP  - 2021
EP  - 2051
PB  - Yokohama Publishers
CY  - Yokohama
ER  - 
TY  - CHAP
A1  - Rungrottheera, Wannarut
A1  - Chang, Der-Chen
A1  - Schulze, Bert-Wolfgang
T1  - The edge calculus of singularity order >3
T2  - Journal of nonlinear and convex analysis : an international journal
N2  - We study Mellin pseudo-differential algebras on singular straight cones and manifolds with singularity of order >= 3. Those are necessary to express parametrices of elliptic differential operators with a corresponding cornerdegenerate behavior, and we obtain regularity in weighted spaces.
KW  - Pseudo-differential algebras
KW  - symbols
KW  - singular manifolds
KW  - Mellin
KW  - operator calculus
Y1  - 2020
SN  - 1345-4773
SN  - 1880-5221
VL  - 21
IS  - 2
SP  - 387
EP  - 401
PB  - Yokohama Publishers
CY  - Yokohama
ER  -