Results 51 to 60 of about 540,590 (160)
Exponential convergence for ultrafast diffusion equations with log‐concave weights
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log‐concave and log‐lipschitz weight, and prove exponential convergence to equilibrium. This result goes beyond the compact setting studied in Iacobelli [Discrete Contin. Dyn. Syst. 39 (2019), 4929–4943].
Max Fathi, Mikaela Iacobelli
wiley +1 more source
Characterizations of Orlicz-Sobolev Spaces by Means of Generalized Orlicz-Poincaré Inequalities
Journal of Function Spaces and Applications, 2012 Let Φ be an N-function. We show that a function u∈LΦ(ℝn) belongs to the Orlicz-Sobolev space W1,Φ(ℝn) if and only if it satisfies the (generalized) Φ-Poincaré inequality. Under more restrictive assumptions on Φ, an analog of the result holds in a general
Toni Heikkinen
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h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley +1 more source
Poincaré Inequalities for Mutually Singular Measures
Analysis and Geometry in Metric Spaces, 2015 Using an inverse system of metric graphs as in [3], we provide a simple example of a metric space X that admits Poincaré inequalities for a continuum of mutually singular measures.
Schioppa Andrea
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Free semigroups of large critical exponent
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
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Duality of Moduli and Quasiconformal Mappings in Metric Spaces
Analysis and Geometry in Metric Spaces, 2020 We prove a duality relation for the moduli of the family of curves connecting two sets and the family of surfaces separating the sets, in the setting of a complete metric space equipped with a doubling measure and supporting a Poincaré inequality.
Jones Rebekah, Lahti Panu
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Pinwheels in symplectic rational and ruled surfaces and non‐squeezing of rational homology balls
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We use almost toric fibrations and the symplectic rational blow‐up to determine when certain Lagrangian pinwheels, which we call liminal, embed in symplectic rational and ruled surfaces. The case of L2,1$L_{2,1}$‐pinwheels, namely Lagrangian RP2s$\mathbb {R}P^2{\rm s}$, answers a question of Kronheimer in the negative, exhibiting a symplectic ...
Nikolas Adaloglou, Johannes Hauber
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The Poincaré inequality and entire functions
, 1993 Inequalities for spaces of entire functions on C n {{\mathbf {C}}^n} , which generalize the Poincaré inequality for Gaussian measure, are obtained.
J. Michael Pearson
core +1 more source
The Dual Hamilton–Jacobi Equation and the Poincaré Inequality
MathematicsFollowing the equivalence between logarithmic Sobolev inequalities and hypercontractivity shown by L. Gross, and applying the ideas and methods of the work by Bobkov, Gentil and Ledoux, we would like to establish a new connection between the logarithmic ...
Rigao He +3 more
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Dynamical Behaviors of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Delays
Abstract and Applied Analysis, 2012 This paper investigates dynamical behaviors of stochastic Cohen-Grossberg neural network with delays and reaction diffusion. By employing Lyapunov method, Poincaré inequality and matrix technique, some sufficient criteria on ultimate boundedness, weak ...
Li Wan, Qinghua Zhou, Jizi Li
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