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 ξ 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
Morando A.
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 ξ variable. Applications to Fourier–Lebesgue microlocal regularity of linear and nonlinear partial differential equations are given.File in questo prodotto:
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