316 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidad Autónoma de MadridES14 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE12 papers
- University of the Basque CountryES5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Laboratoire Jacques-Louis LionsFR3 papers
- Sorbonne UniversitéFR3 papers
- Association of Electronic and Information TechnologiesES2 papers
- Middlesex University LondonGB2 papers
- Tianjin UniversityCN2 papers
- Université Paris DiderotFR2 papers
- Bayer (Germany)DE1 paper
- Catholic University of KoreaKR1 paper
9 papers · 1 filter
Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped p-system
Timothée Crin-Barat, Ling-Yun Shou, Enrique Zuazua
A new framework to obtain time-decay estimates for partially dissipative hyperbolic systems set on the real line is developed. Under the classical Shizuta-Kawashima (SK) stability…
Flow decomposition for heat equations with memory
Gengsheng Wang, Yubiao Zhang, Enrique Zuazua
We build up a decomposition for the flow generated by the heat equation with a real analytic memory kernel. It consists of three components: The first one is of parabolic nature; t…
The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems
Carlos Esteve, Hicham Kouhkouh, Dario Pighin +1
We analyze the consequences that the so-called turnpike property has on the long-time behavior of the value function corresponding to a finite-dimensional linear-quadratic optimal…
Existence and cost of boundary controls for a degenerate/singular parabolic equation
Umberto Biccari, Víctor Hernández-Santamaría, Judith Vancostenoble
In this paper, we consider the following degenerate/singular parabolic equation where …
Dynamics and control for multi-agent networked systems: a finite difference approach
Umberto Biccari, Dongnam Ko, Enrique Zuazua
We analyze the dynamics of multi-agent collective behavior models and their control theoretical properties. We first derive a large population limit to parabolic diffusive equation…
Stability analysis of a 1D wave equation with a nonmonotone distributed damping
Swann Marx, Yacine Chitour, Christophe Prieur
This paper is concerned with the asymptotic stability analysis of a one dimensional wave equation subject to a nonmonotone distributed damping. A well-posedness result is provided…
WKB expansion for a fractional Schrödinger equation with applications to controllability
Umberto Biccari, Alejandro B. Aceves
This paper is devoted to the analysis of propagation properties for the solutions of a one-dimensional non-local Schrödinger equation involving the fractional Laplace operator $(-d…
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions
Yannick Privat, Emmanuel Trélat, Enrique Zuazua
We consider a spectral optimal design problem involving the Neumann traces of the Dirichlet-Laplacian eigenfunctions on a smooth bounded open subset of . The cost functio…
The Poisson equation from non-local to local
Umberto Biccari, Víctor Hernández-Santamaría
We analyze the limit behavior as of the solution to the fractional Poisson equation , with homogeneous Dirichlet boundary conditions $u_s\equiv 0…