On the generation of semigroups of linear operators
نویسندگان
چکیده
منابع مشابه
on the effect of linear & non-linear texts on students comprehension and recalling
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15 صفحه اولSemigroups of Linear Operators
Our goal is to define exponentials of linear operators. We will try to construct etA as a linear operator, where A : D(A)→ X is a general linear operator, not necessarily bounded. Notationally, it seems like we are looking for a solution to μ̇(t) = Aμ(t), μ(0) = μ0, and we would like to write μ(t) = eμ0. It turns out that this will hold once we make sense of the terms. How can we construct etA w...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1952
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1952.2.343