Abstract
By a continuous degenerate semigroup we mean a strongly continuous mapping T : R+ ! L(X) having the semigroup property. Thus, T (0) is a projection which may be different from the identity. The main theorem is a Trotter-Kato type approximation result for such degenerate semigroups. It is used to study convergence of heat semigroups with respect to variable domains.
Citation
Wolfgang Arendt. "APPROXIMATION OF DEGENERATE SEMIGROUPS." Taiwanese J. Math. 5 (2) 279 - 295, 2001. https://doi.org/10.11650/twjm/1500407337
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