Fractional spaces and conservation laws

Wang , Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schr¨ odinger and wave equations, J. Oh , The

In Section 2 we fix all the notations, give a rigorous definition of the strong stochastic Gâteaux differentiability, and we highlight the wellposedness of this definition by

Thus, the Morrey- Campanato space M q,a is equivalent to a classical H¨ older space of regularity 1 − α and the small regularization effect of the L´evy-type operator L is

Radial extensions in fractional Sobolev spaces Haïm Brezis, Petru Mironescu, Itai Shafrir.. To cite

In this spirit, in Section 3, we will prove the sufficiency of Theorem 1.1 on a class of "admissible" domains which include smoothly bounded convex domain of finite type in C

The second definition of Sobolev spaces with zero boundary values has been extended to the metric setting, in the case of Newtonian functions based on Lebesgue spaces [22], on

Property ( M ) , M-ideals and almost isometric struc- ture of Banach spaces.. reine

In sections 3 and 4, we give some applications to scalar conservation laws: a stability result, the best smoothing effect in the case of L ∞ data with a degenerate convex flux and