Strongly elliptic differential operators with (possibly) unbounded lower order coefficients are shown to generate C_0-semigroups on L^p(R^N), 1<p<+\infty. An explicit characterization of the domain is given
G. Cupini, S. Fornaro (2004). Maximal regularity in L^p(R^N) for a class of elliptic operators with unbounded coefficients. DIFFERENTIAL AND INTEGRAL EQUATIONS, 17, 259-296.
Maximal regularity in L^p(R^N) for a class of elliptic operators with unbounded coefficients
CUPINI, GIOVANNI;
2004
Abstract
Strongly elliptic differential operators with (possibly) unbounded lower order coefficients are shown to generate C_0-semigroups on L^p(R^N), 1
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