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Results tagged with semigroups-of-operators
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user 248499
(Usually one-parameter) semigroups of linear operators and their applications to partial differential equations, stochastic processes such as Markov processes and other branches of mathematics.
4
votes
1
answer
146
views
Reference request: Uniformly elliptic partial differential operator generates positivity pre...
I am looking for a reference of the following result:
Let $\Omega\subset \mathbb{R}^n$ be be a bounded domain with smooth boundary. Let
$$A = \sum_{i,j=1}^n \partial_i ( a_{ij} \partial_j) + \sum_{i=1 …
- 2,670
3
votes
2
answers
141
views
Lumer-Phillips-type theorem for non-autonomous evolutions
The classical Lumer-Phillips theorem characterizes the generators of contraction semigroups. I am looking for a similar characterization or at least a sufficient condition for a family of unbounded, l …
- 4,729
0
votes
Lumer-Phillips-type theorem for non-autonomous evolutions
As mentioned in Jochen Glueck's answer, there are results in Pazy's book and in Engel and Nagel's book on the generation of propagators. I also dug a little deeper in the literature and found results …
- 300