We study the continuity in weighted Fourier Lebesgue spaces for a class of pseudodifferential operators, whose symbol has finite Fourier Lebesgue regularity with respect to x and satisfies a quasi-homogeneous decay of derivatives with respect to the phase variable. Applications to Fourier Lebesgue microlocal regularity of linear and nonlinear partial differential equations are given.
Microlocal regularity of nonlinear PDE in quasi-homogeneous Fourier–Lebesgue spaces
Gianluca GarelloCo-first
;
2020-01-01
Abstract
We study the continuity in weighted Fourier Lebesgue spaces for a class of pseudodifferential operators, whose symbol has finite Fourier Lebesgue regularity with respect to x and satisfies a quasi-homogeneous decay of derivatives with respect to the phase variable. Applications to Fourier Lebesgue microlocal regularity of linear and nonlinear partial differential equations are given.
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