A contraction semigroup generated by a pseudo-differential operator
Man Wah Wong · Differential and Integral Equations · 1992
Let m be a positive number and q : Din -+ C a measurable function.We give conditions on the function q to ensure that the pseudo-differential operator -( -~ + m 2 )} + q is the infinitesimal generator of a one-parameter strongly continuous semigroup of contractions on £P(~Jin), p > n.