Approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditions [PDF]
ESAIM: COCV 27 (2021) 10, 2022 In this paper, we first give an algebraic characterization of uniqueness of continuation for a coupled system of wave equations with coupled Robin boundary conditions. Then, the approximate boundary controllability and the approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary controls are ...
Tatsien Li, B. Rao
arxiv +3 more sources
Hairy black holes in AdS with Robin boundary conditions [PDF]
Journal of High Energy Physics, 2023 We study hairy black holes in Einstein-Maxwell-complex scalar theory in four-dimensional asymptotically global anti-de Sitter (AdS) spacetime when the Robin boundary conditions are imposed on the scalar field.
Tomohiro Harada +3 more
doaj +2 more sources
The wave equation approach to an inverse eigenvalue problem for an arbitrary multiply connected drum in ℝ2 with Robin boundary conditions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 The spectral function μˆ(t)=∑j=1∞exp(−itμj1/2), where {μj}j=1∞ are the eigenvalues of the two-dimensional negative Laplacian, is studied for small |t| for a variety of domains, where −∞
E. M. E. Zayed, I. H. Abdel-Halim
doaj +2 more sources
Straight Quantum Waveguide with Robin Boundary Conditions [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We investigate spectral properties of a quantum particle confined to an infinite straight planar strip by imposing Robin boundary conditions with variable coupling.
Martin Jílek
doaj +2 more sources
Sharp Estimates for the Gaussian Torsional Rigidity with Robin Boundary Conditions [PDF]
Potential Analysis, 2021 In this paper we provide a comparison result between the solutions to the torsion problem for the Hermite operator with Robin boundary conditions and the one of a suitable symmetrized problem.
F. Chiacchio +3 more
semanticscholar +3 more sources
Isoperimetric estimates for solutions to the p-Laplacian with variable Robin boundary conditions [PDF]
arXiv, 2022 In this paper we study the $p$-Poisson equation with Robin boundary conditions, where the Robin parameter is a function. By means of some weighted isoperimetric inequalities, we provide various sharp bounds for the solutions to the problems under consideration. We also derive a Faber-Krahn-type inequality.
Vincenzo Amato +2 more
arxiv +3 more sources
The hybrid spectral problem and Robin boundary conditions [PDF]
, 2005 The hybrid spectral problem where the field satisfies Dirichlet conditions (D) on part of the boundary of the relevant domain and Neumann (N) on the remainder is discussed in simple terms.
Apps J S +46 more
core +2 more sources
An optimization problem in thermal insulation with Robin boundary conditions [PDF]
Communications in Partial Differential Equations, 2020 We study thermal insulating of a bounded body Under a prescribed heat source we consider a model of heat transfer between Ω and the environment determined by convection; this corresponds, before insulation, to Robin boundary conditions.
Francesco Della Pietra +3 more
semanticscholar +3 more sources
, 2008 We study generalized Robin boundary conditions, Robin-to-Dirichlet maps, and Krein-type resolvent formulas for Schr\"odinger operators on bounded Lipschitz domains in $\bbR^n$, $n\ge 2$. We also discuss the case of bounded $C^{1,r}$-domains, $(1/2)
Gesztesy, Fritz, Mitrea, Marius
core +5 more sources
Hardy inequalities for p-Laplacians with Robin boundary conditions [PDF]
arXiv, 2014 In this paper we study the best constant in a Hardy inequality for the p-Laplace operator on convex domains with Robin boundary conditions. We show, in particular, that the best constant equals $((p-1)/p)^p$ whenever Dirichlet boundary conditions are ...
Ekholm, Tomas +2 more
core +2 more sources