International Online Conference One-Parameter Semigroups of Operators BOOK OF ABSTRACTS stable version from 20:21 (UTC+0), Friday 9th April, 2021 Nizhny Novgorod 2021 International Online Conference “One-Parameter Semigroups of Operators 2021” Preface International online conference One-Parameter Semigroups of Operators (OPSO 2021), 5-9 April 2021, is organized by the International laboratory of dynamical systems and applications, and research group Evolution semigroups and applications, both located in Russia, Nizhny Novgorod city. The Laboratory was created in 2019 at the National research university Higher School of Economics (HSE). Website of the Laboratory: https://nnov.hse.ru/en/bipm/dsa/ HSE is a young university (established in 1992) which rapidly become one of the leading Russian universities according to international ratings. In 2021 HSE is a large university focused on only on economics. There are departments of Economics (including Finance, Statistics etc), Law, Mathematics, Computer Science, Media and Design, Physics, Chemistry, Biotechnology, Geography and Geoinformation Technologies, Foreign Languages and some other. Website of the HSE: https://www.hse.ru/en/ The OPSO 2021 online conference has connected 106 speakers and 26 participants without a talk from all over the world. The conference covered the following topics: 1. One-parameter groups and semigroups of linear operators; 2. Nonlinear flows and semiflows; 3. Interplay between linear infinite-dimensional systems and nonlinear finite-dimensional systems; 4. Quan- tum stochastic evolutions and dynamical semigroups; 5. Further applications of semigroups in mathematical physics; 6. Related topics. Website of the OPSO 2021 conference: https://nnov.hse.ru/bipm/dsa/opso2021 Program Committee: Luigi Accardi, University of Rome Tor Vergata (Italy) Grigory Amosov, Steklov Mathematical Institute (Russia) Wolfgang Arendt, Ulm University (Germany) Jacek Banasiak, University of Pretoria (South Africa) Jochen Gl¨uck, University of Passau (Germany) John Gough, Aberystwyth University (UK) Vyacheslav Grines, Higher School of Economics (Russia) Alexander Holevo, Steklov Mathematical Institute (Russia) Yana Kinderknecht (Butko), TU Braunschweig (Germany) Sonia Mazzucchi, University of Trento (Italy) Valter Moretti, University of Trento (Italy) Hendra Nurdin, University of New South Wales (Australia) Yuri Orlov, Keldysh Institute of Applied Mathematics (Russia) Olga Pochinka, Higher School of Economics (Russia) Ivan Remizov, Higher School of Economics (Russia) Vsevolod Sakbaev, Keldysh Institute of Applied Mathematics (Russia) Nikolai Shamarov, Lomonosov Moscow State University (Russia) Evgeni Shavgulidze, Lomonosov Moscow State University (Russia) Alexander Skubachevskii, RUDN University (Russia) Oleg Smolyanov, Lomonosov Moscow State University (Russia) Dmitry Treschev, Steklov Mathematical Institute (Russia) Sascha Trostorff, Christian-Albrechts-Universit¨atzu Kiel (Germany) Dmitry Turaev, London Imperial College (UK) Mikhail Volkov, Ural Federal University (Russia) Sergey Zelik, University of Surrey (UK) Organizing Committee: Olga Pochinka (co-chairman), Ivan Remizov (co-chairman), Oleg Galkin (vice chairman), Yana Kinderknecht (Butko) (vice chairman), Iskandar Bakho- vaddinov, Elizaveta Chernyshova, Ksenia Dragunova, Vladislav Galkin, Liana Golikova, Anna Smirnova, Alexander Vedenin. 2 International Online Conference “One-Parameter Semigroups of Operators 2021” Contents 1. One-parameter groups and semigroups of linear operators 7 G. G. Amosov, E. L. Batenov. On perturbations of one-parameter semigroups deter- mined by covariant operator valued measures on the half-axis. .7 W. Arendt. Continuous Kernels for Positive Semigroups: applications to boundary problems and semilinear equations. .9 S. Arora. Local eventual positivity of operator semigroups . 10 J. Banasiak, A. B loch. Telegrapher’s systems on networks . 11 C. Batty. Rates of decay of energy via operator semigroups . 12 A. B loch. An explicit formula for the telegraph equation semigroup on a network . 13 A. Bobrowski. Semigroup-theoretic approach to thin layers: the role of transmission conditions . 14 K. Bogdan. On Hardy identities and inequalites . 16 S. Bonaccorsi. Asymptotic behaviour of a class of random evolution problems with application to combinatorial and metric graphs . 17 C. Budde. Positive Miyadera–Voigt perturbations of bi-continuous semigroups . 18 D. Daners, J. Gl¨uck, J. Mui. Asymptotic behaviour of biharmonic heat equations on unbounded domains . 19 A. Dobrick. Long-term Behaviour of Flows in Infinite Networks . 21 M. Kramar Fijavˇz.Operator semigroups on vector lattices . 23 O. E. Galkin, I. D. Remizov. Upper and lower estimates for the speed of convergence of Chernoff approximations of operator semigroups . 24 J. Gl¨uck. Positivity properties of operator semigroups . 27 F. Gregorio, Bi-Kolmogorov type operators and weighted Rellich’s inequalities . 28 D. Kinzebulatov. Fractional Kolmogorov operator and desingularizing weights . 29 K. Yu. Kotlovanov. Propagators for the Equation of Internal Waves . 30 K. Kruse, J. Meichsner, C. Seifert. Subordination for Semigroups in locally convex Spaces . 33 K. R. Madou. On admissible singular drifts of symmetric α-stable process . 34 N. A. Manakova, K. V. Perevozchikova. Degenerate Nonlinear Semigroups for General Mathematical Filtration Boussinesq Model . 35 N. A. Manakova, G. A. Sviridyuk. Positive Holomorphic Semigroups of Operators. Sobolev Type Equations . 37 I. V. Melnikova, U. A. Alekseeva, V. A. Bovkun. Operator semigroups associated with stochastic processes within the framework of the semigroup classification and Gelfand-Shilov classification . 40 G. Metafune, L. Negro, C. Spina. Lp estimates for the Caffarelli-Silvestre extension operators . 41 D. Mugnolo. Random evolution equations on graphs and beyond . 42 S. Piskarev. Approximation of fractional equations in Banach spaces . 43 D. Ploss. The Bi-Laplacian with Wentzell boundary conditions on Lipschitz domains . 44 V. Recupero. Analytic semigroups in the quaternionic framework . 45 I. D. Remizov. How to obtain exp(−itH) for arbitrary self-adjoint H if for each t > 0 you know exp(−tH) or exp(tH) or even less . 46 R. Rudnicki. Asymptotic decomposition of substochastic semigroups and applications 49 F. L. Schwenninger. Around Baillon’s theorem on maximal regularity . 50 D. E. Shafranov, O. G. Kitaeva, G. A. Sviridiyk. Degenerate analytic resolving groups of operators for solutions of the Barenblatt–Zheltov–Kochina equation in “noise” spaces on a Riemannian manifold . 51 3 International Online Conference “One-Parameter Semigroups of Operators 2021” A. L. Skubachevskii. The Kato square root problem for some classes of elliptic func- tional differential operators with smooth coefficients . 54 N. N. Solovyova, S. A. Zagrebina, G. A. Sviridyuk, Investigation of positive solutions to the Sobolev-type equations in sequence spaces . 55 S. Trostorff. Exponential Stability for Port-Hamiltonian Systems . 58 J. Zhai. Extinction time of stochastic SIRS epidemic models: application of Chernoff approximation for bi-continuous semigroups . 59 2. Nonlinear flows and semiflows 62 M. M. Anikushin. Quadratic Lyapunov functionals and geometry of inertial manifolds 62 A. A. Dorogovtsev. Stochastic semigroups and stochastic differential equations related to stochastic flows with singularities . 66 F. Fagnola. Dilations of classical diffusion processes via quantum stochastic calculus . 67 E. V. Glinyanaya. Disordering in a discrete-time stochastic flows . 68 N. S. Goncharov. Numerical research of the Barenblatt-Zheltov-Kochina model on the interval with wentzell boundary conditions . 69 V. Grines. On topology of ambient manifolds admitting A-diffeomorphisms . 70 A. S. Konkina, S. A. Zagrebina, G. A. Sviridyuk. Mathematical model of traffic flow at a regulated intersection . 71 A. Kostianko. Bi-Lipschitz Mane projections and finite-dimensional reduction for com- plex Ginzburg-Landau equation . 74 V. E. Kruglov. Topological conjugacy Morse-Smale flows with finite number of moduli on surfaces . 75 L. M. Lerman, N. E. Kulagin. Resonant localized patterns in the Swift-Hohenberg equation . 77 R. Longo. The massive modular Hamiltonian . 79 V. S. Medvedev, E. V. Zhuzhoma. Two-dimensional attractors of A-flows and fibered links on 3-manifolds . 80 S. E. Pastukhova, large-time asymptotics of fundamental solutions for diffusion equa- tions in periodic media . 81 O. Pochinka. On the embedding of Morse-Smale diffeomorphisms in a topological flow 82 G. V. Riabov. Coalescing stochastic flows on metric graphs . 83 D. D. Shubin, O. V. Pochinka. On non-singular flows on n-manifolds with two limit cycles . 85 3. Interplay between linear infinite-dimensional systems and nonlinear finite- dimensional systems 87 E. M. Bollt. Geometry and Good Dictionaries for Koopman Analysis of Dynamical Systems . 87 N. Edeko. Betti numbers and the spectrum of dynamics on metrizable compact spaces 88 G. Froyland. Transfer operators and dynamical systems . 89 H. Kreidler. Koopmanism for dynamical systems on completely regular spaces . 90 A. Mauroy. Koopman operator framework for nonlinear identification . 91 C. Schlosser, M. Korda. A linear program approach to global attractors . 92 B. O. Volkov. L´evyLaplacian and gauge fields . 93 4. Quantum stochastic evolutions and dynamical semigroups 95 L. Accardi. Stochastic Koopman program, quantum extensions of classical evolutions and a unified approach to classical and quantum dynamical systems . 95 M. Dubashinskiy. Long composition of raisings and