Results 21 to 25 of about 62,718 (25)
L infinity resolvent bounds for steady Boltzmann's equation [PDF]
arXiv, 2016 We derive lower bounds on the resolvent operator for the linearized steady Boltzmann equation over weighted L1 Banach spaces in velocity, comparable to those derived by Pogan & Zumbrun in an analogous weighted L2 Hilbert space setting. These show in particular that the operator norm of the resolvent kernel is unbounded in Lp(R) for all $1
Completing the spectrum of almost resolvable cycle systems with odd cycle length [PDF]
arXiv, 2017 In this paper, we construct almost resolvable cycle systems of order $4k+1$ for odd $k\ge 11$. This completes the proof of the existence of almost resolvable cycle systems with odd cycle length.
arxiv
Mean resolvent analysis of periodic flows [PDF]
arXivThe mean resolvent operator predicts, in the frequency domain, the mean linear response to forcing, and, as such, it provides the optimal LTI approximation of the input-output dynamics of flows in the statistically steady regime (Leclercq & Sipp 2023). In this paper, we aim at providing numerical frameworks to extract optimal forcings and responses of ...
arxiv
Nonlinear resolvents in the unit disk: geometry and dynamics [PDF]
arXivIn this paper we present a unified approach to the study of geometric and dynamic properties of nonlinear resolvents of holomorphic generators. The idea is to apply the distortion theorem we have established. This method allows us to find order of spirallikeness and of strong starlikeness of resolvents and remove all the restrictions for resolvents ...
arxiv
Compositions of Resolvents: Fixed Points Sets and Set of Cycles [PDF]
arXivIn this paper, we investigate the cycles and fixed point sets of compositions of resolvents using Attouch Th\'era duality. We demonstrate that the cycles defined by the resolvent operators can be formulated in Hilbert space as the solution to a fixed point equation.
arxiv