5 papers
Controllability and observability for non-autonomous evolution equations: the averaged Hautus test
Bernhard Haak, Duc-Trung Hoang, El-Maati Ouhabaz
We consider the observability problem for non-autonomous evolution systems (i.e., the operators governing the system depend on time). We introduce an averaged Hautus condition and…
Exact observability of a 1D wave equation on a non-cylindrical domain
Bernhard Hermann Haak, Duc-Trung Hoang
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…
The Hautus test for non-autonomous linear evolution equation
Duc-Trung Hoang
In this paper, we investigate the Hautus test for evolution equation with the operators depending on time.
Observability of a 1D Schrödinger equation with time-varying boundaries
Duc-Trung Hoang
We discuss the observability of a one-dimensional Schrödinger equation on certain time dependent domain. In linear moving case, we give the exact boundary and pointwise internal ob…
The local criteria for blowup of the Dullin-Gottwald-Holm equation and the two-component Dullin-Gottwald-Holm system
Duc-Trung Hoang
We investigate wave breaking for the Dullin-Gottwald-Holm equation and the two-component Dullin-Gottwald-Holm system. We establish a new blow-up criterion for the general case $γ+c…