Fractional power function spaces associated to regular Sturm-Liouville problems
Miri, Sofiane El-Hadi
Texas State University-San Marcos, Department of Mathematics
Using spectral properties of the regular Sturm-Liouville problems, we construct a collection of abstract function spaces. Then we find the smallest index for which these spaces are mapped continuously in to the space of continuous functions. We also give some applications of these spaces for variational methods.
Sturm-Liouville problems, Fractional power Sobolev spaces, Variational methods
Miri, S. E. H. (2005). Fractional power function spaces associated to regular Sturm-Liouville problems. <i>Electronic Journal of Differential Equations, 2005</i>(49), pp. 1-12.