Maximal sector of analyticity for C_{0}-semigroups generated by elliptic operators with separation property in L^{p}


Abstract


Analytic continuation of the C_{0}-semigroup \{e^{-zA}\} on L^{p}(\mathbb{R}^{N}) generated by the second order elliptic operator - A is investigated, where A is formally defined by the differential expression Au = -{\rm div}(a{\nabla}u) + (F\cdot{\nabla})u + Vu and the lower order coefficients have singularities at infinity or at the origin. \end

DOI Code: 10.1285/i15900932v33n2p65

Keywords: Second order linear elliptic operators in $L^{p}$; analytic $C_{0}$-semigroups; maximal sectors of analyticity

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