Cupini, Giovanni; Fornaro, Simona Maximal regularity in \(L^p(\mathbb R^N)\) for a class of elliptic operators with unbounded coefficients. (English) Zbl 1174.35394 Differ. Integral Equ. 17, No. 3-4, 259-296 (2004). Summary: Strongly elliptic differential operators with (possibly) unbounded lower-order coefficients are shown to generate \(C_0\) semigroups on \(L^p(\mathbb R^N)\), \(1<p<+\infty \). An explicit characterization of the domain is given. Cited in 13 Documents MSC: 35J70 Degenerate elliptic equations 35K15 Initial value problems for second-order parabolic equations 35K65 Degenerate parabolic equations Keywords:strongly elliptic operator; unbounded lower-order coefficient; \(C_0\) semigroups on \(L^p(\mathbb R^N)\) PDFBibTeX XMLCite \textit{G. Cupini} and \textit{S. Fornaro}, Differ. Integral Equ. 17, No. 3--4, 259--296 (2004; Zbl 1174.35394)