منابع مشابه
On the Resolvent Condition I in the Kreiss
Abstrac t . The Kreiss Matrix Theorem asserts the uniform equivalence over all N x N matrices of power boundedness and a certain resolvent estimate. We show that the ratio of the constants in these two conditions grows linearly with N, and we obtain the optimal proportionality factor up to a factor of 2. Analogous results are also given for the related problem involving matrix exponentials e At...
متن کاملContinuous-time Kreiss resolvent condition on infinite-dimensional spaces
Given the infinitesimal generator A of a C0-semigroup on the Banach space X which satisfies the Kreiss resolvent condition, i.e., there exists an M > 0 such that ‖(sI−A)‖ ≤ M Re(s) for all complex s with positive real part. We show that for general Banach spaces this condition does not give any information on the growth of the associated C0-semigroup. For Hilbert spaces the situation is less dr...
متن کاملResolvent Clause Weighting Local Search
Considerable progress in local search has recently been made in using clause weighting algorithms to solve satisfiability benchmark problems. While these algorithms have outperformed earlier stochastic techniques on many larger problems, this improvement has generally required extra, problem specific, parameters requiring fine tuning to problem domains for optimal run-time performance. In a pre...
متن کاملOn the Local Equilibrium Condition
A physical system should be in a local equilibrium if it cannot be distinguished from a global equilibrium by “infinitesimally localized measurements”. This seems to be a natural characterization of local equilibrium, however the problem is to give a precise meaning to the qualitative phrase “infinitesimally localized measurements”. A solution is suggested in form of a Local Equilibrium Conditi...
متن کاملResolvent Estimates and Local Decay of Waves on Conic Manifolds
We consider manifolds with conic singularites that are isometric to R outside a compact set. Under natural geometric assumptions on the cone points, we prove the existence of a logarithmic resonancefree region for the cut-off resolvent. The estimate also applies to the exterior domains of non-trapping polygons via a doubling process. The proof of the resolvent estimate relies on the propagation...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2023
ISSN: ['1846-579X', '1848-9575']
DOI: https://doi.org/10.7153/jmi-2023-17-16