Ornstein–Uhlenbeck semigroups on star graphs
نویسندگان
چکیده
We prove first existence of a classical solution to class parabolic problems with unbounded coefficients on metric star graphs subject Kirchhoff-type conditions. The result is applied the Ornstein–Uhlenbeck and harmonic oscillator operators graphs. We give an explicit formula for associated semigroup unique invariant measure. show that this inherits regularity properties \begin{document}$ \mathbb{R} $\end{document}.
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series S
سال: 2022
ISSN: ['1937-1632', '1937-1179']
DOI: https://doi.org/10.3934/dcdss.2022030