Results 81 to 90 of about 193,737 (236)
Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
wiley +1 more source
Weak Lp-stability of a linear semigroup on a Hilbert space implies exponential stability
, 1988 We prove that a strongly continuous semigroup of linear operators on a Hilbert space is weakly Lp-stable for some p ϵ [1, ∞) if and only if the semigroup is exponentially stable.
Weiss, George
core +1 more source
Transport operator on phase spaces with finite time of sojourn property
Electronic Journal of Differential Equations, 2010 In this article, the transport operator with general boundary conditions is discussed. According to a smallness hypothesis on the boundary operator and to finite time of sojourn property of phase spaces, we prove that the transport operator generates
Mohamed Boulanouar
doaj
Hypercyclic behaviour of operators in a hypercyclic C0-semigroup
, 2007 Let {Tt}t⩾0 be a hypercyclic strongly continuous semigroup of operators. Then each Tt (t>0) is hypercyclic as a single operator, and it shares the set of hypercyclic vectors with the semigroup.
Müller, V. +2 more
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Some Remarks on Talenti's Semigroup
, 1971 Let X be a Banach space. Consider the family I(α) of linear continuous operators from X into itself, depending on the parameter α ≥ 0. Suppose that I(α1+α2)=I(α1)I(α2)∀α1, α2 ≥ 0 and I(0)=I (semigroupal property).
A. Chrysovergis
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Total Positivity: an application to positive linear operators and to their limiting semigroups
Journal of Numerical Analysis and Approximation Theory, 2007 Some shape-preserving properties of positive linear operators, involving higher order convexity and Lipschitz classes, are investigated from the point of view of weak Tchebycheff systems and total positivity in the sense of Karlin [8].
Antonio Attalienti, Ioan Raşa
doaj +2 more sources
Strong convergence theorems for strongly continuous semigroups of pseudocontractions
Applied Mathematics Letters, 2011 Let \(E\) be a Banach space and \(K\) be a closed convex subset of \(E\). Let \((T(t): t\geq 0)\) be a strongly continuous semigroup of Lipschitz pseudocontractions from \(K\) to itself with \(F:=\bigcap\{\text{Fix}(T(t)): t\geq 0\}\neq \emptyset\). The strong convergence of the implicit iterative process \[ x_0\in K,\;x_{n}=\alpha_nx_{n-1}+\beta_nT ...
Ravi P. Agarwal +2 more
openaire +3 more sources
Transport equations in cell population dynamics I
Electronic Journal of Differential Equations, 2010 In this article, we study a cell proliferating model, where each cell is characterized by its degree of maturity and its maturation velocity. The boundary conditions in this model generalize the known biological rules. We consider also the degenerate
Mohamed Boulanouar
doaj
A Characterization of Semilinear Dense Range Operators and Applications
Abstract and Applied Analysis, 2013 We characterize a broad class of semilinear dense range operators given by the following formula, , where , are Hilbert spaces, , and is a suitable nonlinear operator.
H. Leiva, N. Merentes, J. Sanchez
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The Critical Spectrum of a Strongly Continuous Semigroup
, 1998 . For a strongly continuous semigroup (T (t)) t0 with generator A we introduce its critical spectrum oe crit (T (t)). This yields in an optimal way the spectral mapping theorem oe(T (t)) = e toe(A) [ oe crit (T (t)) and improves classical stability ...
Jan Poland, Rainer Nagel
core