Exact Observability of a 1-Dimensional Wave Equation on a Noncylindrical Domain

Autor: Duc-Trung Hoang, Bernhard H. Haak

Publikováno v: SIAM Journal on Control and Optimization. 57:570-589

We discuss admissibility and exact observability estimates of boundary observation and interior point observation of a one-dimensional wave equation on a time dependent domain for sufficiently regular boundary functions. We also discuss moving observ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8a38a71a7e57acf1e38fd7d745028ad2
https://doi.org/10.1137/17m112960x

Mathematical analysis of the motion of a rigid body in a compressible Navier-Stokes-Fourier fluid

Autor: Debayan Maity, Marius Tucsnak, Takéo Takahashi, Bernhard H. Haak

Publikováno v: Mathematical News / Mathematische Nachrichten
Mathematical News / Mathematische Nachrichten, 2019, 292 (9), pp.1972-2017. ⟨10.1002/mana.201700425⟩
Mathematical News / Mathematische Nachrichten, Wiley-VCH Verlag, 2019, 292 (9), pp.1972-2017. ⟨10.1002/mana.201700425⟩

International audience; We study an initial and boundary value problem modelling the motion of a rigid body in a heat conducting gas. The solid is supposed to be a perfect thermal insulator. The gas is described by the compressible Navier-Stokes-Four

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f8acc47102c33955bc10a982c74c5bf
https://hal.science/hal-01619647

On the Carleson Measure Criterion in Linear Systems Theory

Autor: Bernhard H. Haak

Publikováno v: Complex Analysis and Operator Theory
Complex Analysis and Operator Theory, Springer Verlag, 2008, pp.1-19

In Ho, Russell, and Weiss, a Carleson measure criterion for admissibility of one-dimensional input elements with respect to diagonal semigroups is given. We extend their results from the Hilbert space situation $X=\ell_2$ and $L^2$--admissibility to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2ccea2efdb5ae061b668ba72c44000e
https://doi.org/10.1007/s11785-009-0005-5

Weighted Admissibility and Wellposedness of Linear Systems in Banach Spaces

Autor: Peer Christian Kunstmann, Bernhard H. Haak

Publikováno v: SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2007, 45 (6), pp.2094-2118

We study linear control systems in infinite--dimensional Banach spaces governed by analytic semigroups. For $p\in[1,\infty]$ and $\alpha\in\RR$ we introduce the notion of $L^p$--admissibility of type $\alpha$ for unbounded observation and control ope

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a95aef2ff9b050ad42781c16cc3d641d
https://doi.org/10.1137/060656139

The Weiss conjecture and weak norms

Autor: Bernhard H. Haak

Publikováno v: Journal of Evolution Equations
Journal of Evolution Equations, Springer Verlag, 2012, 12 (4), pp.855-861

6 pages; International audience; In this note we show that for analytic semigroups the so-called Weiss condition of uniform boundedness of the operators \[ Re(\lambda)^\einhalb C(\lambda+A)^{-1}, \qquad Re(\lambda)>0 \] on the complex right half plan

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::945f62298aee6cb7ca42ef818094ce38
https://hal.archives-ouvertes.fr/hal-00700159v2/file/weiss-cond-weak-norms-final.pdf