A C 0 semigroup T (t) in Banach space is called to have asynchronous exponent growth with intrinsic growth constant λ 0 if there exists a nonzero finite rank operator P in X such that lim t→∞T (t) = P. Ch...A C 0 semigroup T (t) in Banach space is called to have asynchronous exponent growth with intrinsic growth constant λ 0 if there exists a nonzero finite rank operator P in X such that lim t→∞T (t) = P. Characteristic conditions are established in Hilbert space for T (t), to have asynchronous exponent growth.展开更多
文摘A C 0 semigroup T (t) in Banach space is called to have asynchronous exponent growth with intrinsic growth constant λ 0 if there exists a nonzero finite rank operator P in X such that lim t→∞T (t) = P. Characteristic conditions are established in Hilbert space for T (t), to have asynchronous exponent growth.
