Title

A New Approach to the Analyticity of Some Classes of One-Parameter Semigroups in Weighted-LpSpaces

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

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