Fractional power function spaces associated to regular Sturm-Liouville problems
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Date
2005-05-11
Authors
Miri, Sofiane El-Hadi
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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.
Description
Keywords
Sturm-Liouville problems, Fractional power Sobolev spaces, Variational methods
Citation
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.
Rights
Attribution 4.0 International