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:
| File | Dimensione | Formato | |
|---|---|---|---|
|
s11868-020-00347-x.pdf
solo utenti autorizzati
Tipologia:
Full Text
Licenza:
Non specificato
Dimensione
670.72 kB
Formato
Adobe PDF
|
670.72 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
