The authors consider pseudodifferential operators whose symbols have decay at infinity of quasi-homogeneous type and study their behavior 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-H\"older spaces are obtained.
Microlocal regularity of Besov type for solutions to quasi-elliptic non linear partial differential equations
GARELLO, Gianluca;
2014-01-01
Abstract
The authors consider pseudodifferential operators whose symbols have decay at infinity of quasi-homogeneous type and study their behavior 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-H\"older spaces are obtained.
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