Results 111 to 120 of about 3,185,169 (199)
Exponential convergence for ultrafast diffusion equations with log‐concave weights
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
Generalized Hölder Inequality in Herz-Morrey Spaces with Variable Exponent
The paper investigates the conditions for the generalized Hölder’s inequality with a variable exponent in Herz-Morrey spaces. The main results are based on the exponent functions p(·) and α(·) .
Hairur Rahman, Corina Karim
doaj +1 more source
Metric spaces with small rough angles and the rectifiability of rough self‐contracted curves
Abstract The small rough angle (SRA$\operatorname{SRA}$) condition, introduced by Zolotov in arXiv:1804.00234, captures the idea that all angles formed by triples of points in a metric space are small. In the first part of the paper, we develop the theory of metric spaces (X,d)$(X,d)$ satisfying the SRA(α)$\operatorname{SRA}(\alpha)$ condition for some
Estibalitz Durand Cartagena +1 more
wiley +1 more source
Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets
Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
wiley +1 more source
"Uniform Measures On Inverse Limit Spaces" [PDF]
Motivated by problems from dynamic economic models, we consider the problem of defining a uniform measure on inverse limit spaces. Let f be a function from a compact metric space X into itself where f is continuous, onto and piecewise one-to-one.
David R. Stockman
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L∞$L^\infty$ compactness of solutions of quasilinear problems and applications
Abstract For a (not necessarily smooth) bounded domain Ω$\Omega$ of RN$\mathbb {R}^N$, N⩾2$N \geqslant 2$ and a Carathéodory vector‐valued function a:Ω×RN→RN$a:\Omega \times \mathbb {R}^N \rightarrow \mathbb {R}^N$, we study the compactness of the inverse of the Leray–Lions operator A(u)=−div(a(x,∇u))$A(u)=-\text{div}(a(x, \nabla u))$, u∈W01,p(Ω)$u\in ...
D. Arcoya +2 more
wiley +1 more source
h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function
Abstract Given ideals I,J$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
Decay of correlations and limit theorems for random intermittent maps
Abstract In this paper, we revisit the problem of polynomial memory loss and the central limit theorem (CLT) for time‐dependent LSV maps. More precisely, we show that for random LSV maps corresponding to a random parameter β(·)$\beta (\cdot)$ we obtain quenched memory loss, decay of correlations, CLTs with rates, moment bounds, and almost sure ...
Davor Dragičević +2 more
wiley +1 more source
Well‐posedness of heat equations with nonlinearities of arbitrarily rapid growth
Abstract We address local‐ and global‐in‐time well‐posedness of the Cauchy problem for nonlinear heat equations without imposing growth rate restrictions on the nonlinearity a priori. Our results constitute a nontrivial expansion of the classical Lq$L^q$‐theory for nonlinearities dominated by polynomial growth and the exponential‐Orlicz space theory ...
Yohei Fujishima +2 more
wiley +1 more source
On Weak Lebesgue ( Marcinkiewicz ) Spaces with Variable Exponents
In this memory, we study the so-called Marcinkiewicz spaces ( weak Lebesgue spaces ) with variable exponents which are one of the first generalizations of the Lebesgue spaces.
Supervisor: Hellal, Abdelaziz +1 more
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