The authors consider pseudodifferential operators whose symbols have decay at infinity of quasi-homogeneous type and study their behaviour on the wave front set of distributions in weighted Zygmund-Holder spaces and weighted Sobolev spaces in L-p-framework. Then microlocal properties for solutions to linear partial differential equations with coefficients in weighted Zygmund-Holder spaces are obtained.
L^p-microlocal regularity for pseudodifferential operators of quasi-homogeneous type
MORANDO, Alessandro
2009-01-01
Abstract
The authors consider pseudodifferential operators whose symbols have decay at infinity of quasi-homogeneous type and study their behaviour on the wave front set of distributions in weighted Zygmund-Holder spaces and weighted Sobolev spaces in L-p-framework. Then microlocal properties for solutions to linear partial differential equations with coefficients in weighted Zygmund-Holder spaces are obtained.File in questo prodotto:
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