### Alcune classi di operatori pseudo-differenziali ${L}^{p}$ -continui e applicazioni alle equazioni a derivate parziali multi-quasi-ellittiche

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

Back to Simple Search
# Advanced Search

Starting from a general formulation of the characterization by dyadic crowns of Sobolev spaces, the authors give a result of ${L}^{p}$ continuity for pseudodifferential operators whose symbol a(x,ξ) is non smooth with respect to x and whose derivatives with respect to ξ have a decay of order ρ with $0<\rho \le 1$. The algebra property for some classes of weighted Sobolev spaces is proved and an application to multi - quasi - elliptic semilinear equations is given.

**Page 1**