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(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 …
Peter Wacken's user avatar
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 …
Peter Wacken's user avatar
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 …
Peter Wacken's user avatar