Results 41 to 50 of about 1,208,780 (193)

Carleman estimates and controllability results for the one-dimensional heat equation with {\em BV} coefficients [PDF]

, 2007
International audienceWe derive global Carleman estimates for one-dimensional linear parabolic operators $\d_t \pm \d_x(c \d_x)$ with a coefficient $c$ with bounded variations.
Jérôme Le Rousseau, Le Rousseau, Jérôme   +1 more
core   +1 more source

Null controllability of a nonlinear heat equation

Abstract and Applied Analysis, 2002
We study the internal exact null controllability of a nonlinear heat equation with homogeneous Dirichlet boundary condition. The method used combines the Kakutani fixed-point theorem and the Carleman estimates for the backward adjoint linearized system ...
G. Aniculăesei, S. Aniţa
doaj   +1 more source

A strongly ill-posed integro-differential parabolic problem with integral boundary conditions

Mathematical Modelling and Analysis, 2013
Via Carleman estimates we prove uniqueness and continuous dependence results for an identification and strongly ill-posed linear integro-differential parabolic problem with the Dirichlet boundary condition, but with no initial condition.
Alfredo Lorenzi
doaj   +1 more source

Carleman inequality for a class of super strong degenerate parabolic operators and applications

Electronic Journal of Qualitative Theory of Differential Equations, 2023
In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a standard geometric imposition on the control domain, which can not be removed
Bruno Sérgio Araújo, Reginaldo Demarque, Luiz Viana   +2 more
doaj   +1 more source

Stabilization of the weakly coupled plate equations with a locally distributed damping

Advances in Difference Equations, 2020
In this paper, we study the indirect stabilization of a system of plate equations which are weakly coupled and locally damped. By virtue of the general results due to Burq in the study of asymptotic behavior of solutions, we prove that the semigroup ...
Xianzheng Zhu
doaj   +1 more source

On controllability of waves and geometric Carleman estimates

Séminaire Laurent Schwartz — EDP et applications, 2019
The present article is a brief summary of the paper [27], which established new Carleman and observability estimates for a general class of linear wave equations. The main features of these estimates are that (a) they apply to a fully general class of time-dependent domains , with
openaire   +1 more source

Feedback Linearisation with State Constraints

International Journal of Robust and Nonlinear Control, Volume 36, Issue 17, Page 7579-7595, 25 November 2026.
ABSTRACT Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input‐affine nonlinear control systems into linear control systems, allowing for the use of linear controller design methods such as pole placement.
Songlin Jin, Yuanbo Nie, Morgan Jones
wiley   +1 more source

Direct Construction of Quantized Tensor Trains With Small Rank for Laplace‐ or Gaussian‐Transformed Analytic Functions

International Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.
ABSTRACT Preparing quantum states with desired amplitude distributions is a key bottleneck in the implementation of quantum linear and nonlinear dynamics solvers, including Linear Combination of Hamiltonian Simulation (LCHS) and Schrödingerization. We present a direct, closed‐form construction of Quantized Tensor Train (QTT) representations for two ...
Katsuhiro Endo, Kazuaki Z. Takahashi
wiley   +1 more source

Carleman Estimates with a Second Large Parameter

Journal of Mathematical Analysis and Applications, 2000
Unique continuation of solutions to linear partial differential equations is of importance in many branches of applied mathematics, in particular, in control theory and inverse problems. The Carleman estimates are an important tool for proving the unique continuation for linear operators with non-analytic coefficients.
openaire   +1 more source

Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions

International Journal for Numerical Methods in Engineering, Volume 127, Issue 8, 30 April 2026.
ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea, Paul Over, Thomas Rung   +2 more
wiley   +1 more source