On Lp-Contractivity of Semigroups Generated by Linear Partial Differential Operators
نویسندگان
چکیده
منابع مشابه
Semigroups 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: Journal of Functional Analysis
سال: 1999
ISSN: 0022-1236
DOI: 10.1006/jfan.1999.3393