A smooth subadditive homogeneous norm on a homogeneous group
A SOR Acceleration of Self-Adjoint and m-Accretive Splitting Iterative Solver for 2-D Neutron Transport Equation
We present an iterative method based on an infinite dimensional adaptation of the successive overrelaxation (SOR) algorithm for solving the 2-D neutron transport equation. In a wide range of application, the neutron transport operator admits a Self-Adjoint and m-Accretive Splitting (SAS). This splitting leads to an ADI-like iterative method which converges unconditionally and is equivalent to a fixed point problem where the operator is a 2 by 2 matrix...
A space by W. Gowers and new results on norm and numerical radius attaining operators
A spectral approach to the Kaplansky problem
A Spectral Gap Theorem for Dirac Operators with Central Field.
A spectral mapping theorem for Banach modules
Let G be a locally compact abelian group, M(G) the convolution measure algebra, and X a Banach M(G)-module under the module multiplication μ ∘ x, μ ∈ M(G), x ∈ X. We show that if X is an essential L¹(G)-module, then for each measure μ in reg(M(G)), where denotes the operator in B(X) defined by , σ(·) the usual spectrum in B(X), sp(X) the hull in L¹(G) of the ideal , μ̂ the Fourier-Stieltjes transform of μ, and reg(M(G)) the largest closed regular subalgebra of M(G); reg(M(G)) contains all...
A spectral mapping theorem for evolution semigroups on asymptotically almost periodic functions defined on the half line.
A spectral mapping theorem for functions with finite Dirichlet integral.
A Spectral Mapping Theorem for Holomorphic Functions.
A Spectral Mapping Theorem for Local Multipliers.
A spectral mapping theorem for perturbed strongly continuous semigroups.
A spectral mapping theorem for semigroups solving PDEs with nonautonomous past.
A spectral perturbation problem and its applications to waves above an underwater ridge.
A spectral study of an infinite axisymmetric elastic layer
We present here a theoretical study of eigenmodes in axisymmetric elastic layers. The mathematical modelling allows us to bring this problem to a spectral study of a sequence of unbounded self-adjoint operators , , in a suitable Hilbert space. We show that the essential spectrum of is an interval of type and that, under certain conditions on the coefficients of the medium, the discrete spectrum is non empty.
A spectral study of an infinite axisymmetric elastic layer
We present here a theoretical study of eigenmodes in axisymmetric elastic layers. The mathematical modelling allows us to bring this problem to a spectral study of a sequence of unbounded self-adjoint operators An, , in a suitable Hilbert space. We show that the essential spectrum of An is an interval of type and that, under certain conditions on the coefficients of the medium, the discrete spectrum is non empty.
A spectral theory for locally compact abelian groups of automorphisms of commutative Banach algebras
Let A be a commutative Banach algebra with Gelfand space ∆ (A). Denote by Aut (A) the group of all continuous automorphisms of A. Consider a σ(A,∆(A))-continuous group representation α:G → Aut(A) of a locally compact abelian group G by automorphisms of A. For each a ∈ A and φ ∈ ∆(A), the function t ∈ G is in the space C(G) of all continuous and bounded functions on G. The weak-star spectrum is defined as a closed subset of the dual group Ĝ of G. For φ ∈ ∆(A) we define to be the union of all...
A spectrality condition for infinitesimal generators of cosine operator functions
A stability result for -harmonic systems with discontinuous coefficients.
A stability theorem for convergence of a Lyapounov function along trajectories of nonexpansive semigroups.
A stability theorem of the Navier-Stokes flow past a rotating body
In this paper, a stability theorem of the Navier-Stokes flow past a rotating body is reported. Concerning the linearized problem, the proofs of the generation of a C₀ semigroup and its decay properties are sketched.