科研之友
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摘要
Generation of analytic semigroups on Banach space X by -(A + kB) is shown, where A is a negative generator of a bounded analytic semigroup on X, B is a closed operator in X belonging to a class related to A and k is an element of C is a parameter satisfying Re k %26gt; c for some c is an element of R. The proof may be regarded as a modification of the perturbation argument established by Okazawa [8]. As applications, the generation of non-contractive analytic semigroups by Schrodinger operators with inverse square potentials in L-P (R-N) is discussed.
- 出版日期2014-8-15
