Results 51 to 60 of about 3,328,865 (187)
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
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Proper affine deformations of positive representations
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract We define, for every positive Anosov representation of a nonabelian free group into SO(2n,2n−1)$\mathrm{SO}(2n,2n-1)$, a family of R4n−1$\mathbb {R}^{4n-1}$‐valued cocycles which induce proper affine actions on R4n−1$\mathbb {R}^{4n-1}$. We construct fundamental domains in R4n−1$\mathbb {R}^{4n-1}$ bounded by generalized crooked planes for ...
Jean‐Philippe Burelle +1 more
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Characterizations of Stability for Strongly Continuous Semigroups by Convolutions [PDF]
, 1999 Lupulescu, V +2 more
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On strongly continuous ρh-semigroup
Journal of Physics: Conference Series, 2019 Abstract In this paper, we introduce a semi group which it constructs the solution of the partial differential equation as the form: ρ
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Solvability and Boundedness in Chemotaxis‐Consumption Models With Oppositely Acting Nonlocal Sources
Mathematical Methods in the Applied Sciences, Volume 49, Issue 14, Page 16146-16162, 30 September 2026.ABSTRACT In this paper, we investigate a chemotaxis system featuring a class of external source terms that incorporate both local and nonlocal growth as well as dampening effects. The model describes the evolution of a cell density u$$ u $$, which migrates in response to a chemical signal v$$ v $$, within an impermeable habitat.
Rafael Díaz Fuentes +3 more
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Coupled Dynamics Between Networks and Fields in Physical Space: A Theoretical Perspective
Annalen der Physik, Volume 538, Issue 9, September 2026.Networks embedded in physical space often communicate through dynamical fields that both mediate and respond to collective behavior. A unified theoretical perspective is presented for these network‐field systems, linking established mathematical frameworks and revealing how feedback between discrete interactions and continuous spatial processes can ...
Alex Arenas +4 more
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A characterization of polynomially Riesz strongly continuous semigroups [PDF]
, 2006 summary:In this paper we characterize the class of polynomially Riesz strongly continuous semigroups on a Banach space $X$. Our main results assert, in particular, that the generators of such semigroups are either polynomially Riesz (then bounded) or ...
Paoli, J. Martin +2 more
core
Embedding operators into strongly continuous semigroups [PDF]
Archiv der Mathematik, 2009 We study linear operators $T$ on Banach spaces for which there exists a $C_0$-semigroup $(T(t))_{t\geq 0}$ such that $T=T(1)$. We present a necessary condition in terms of the spectral value 0 and give classes of examples where this can or cannot be achieved.
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Geometry of essential matrix ranges and the Smith–Ward problem for operator systems
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick +2 more
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The Growth Bound for Strongly Continuous Semigroups on Fréchet Spaces [PDF]
Proceedings of the Edinburgh Mathematical Society, 2015 AbstractWe introduce the concepts of growth and spectral bound for strongly continuous semigroups acting on Fréchet spaces and show that the Banach space inequality s(A) ⩽ ω0(T) extends to the new setting. Via a concrete example of an even uniformly continuous semigroup, we illustrate that for Fréchet spaces effects with respect to these bounds may ...
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