Alcune classi di operatori pseudo-differenziali -continui e applicazioni alle equazioni a derivate parziali multi-quasi-ellittiche
-boundedness for pseudodifferential operators with non-smooth symbols and applications
Starting from a general formulation of the characterization by dyadic crowns of Sobolev spaces, the authors give a result of 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 . The algebra property for some classes of weighted Sobolev spaces is proved and an application to multi - quasi - elliptic semilinear equations is given.
On 3D slightly compressible Euler equations.
Regularity of weakly well-posed characteristic boundary value problems.
Page 1