A New Approach to the Analyticity of Some Classes of One-Parameter Semigroups in Weighted-L^pSpaces

Authors

Gisèle R. Goldstein, University of MemphisFollow
Jerome A. Goldstein, University of MemphisFollow
Silvia Romanelli, Università degli studi di Bari Aldo Moro

Abstract

We prove that the operatorAuαu″, with α∈C[0,1] and α(x)0 in (0,1), generates an analyticCo-semigroup onLp((0,1),1/α)(u∈Lp(0,1)u p/α∈L1(0,1)), 1

Publication Title

Journal of Mathematical Analysis and Applications

Recommended Citation

Goldstein, G., Goldstein, J., & Romanelli, S. (1998). A New Approach to the Analyticity of Some Classes of One-Parameter Semigroups in Weighted-L^pSpaces. Journal of Mathematical Analysis and Applications, 226 (2), 393-413. https://doi.org/10.1006/jmaa.1998.6087