Results 111 to 120 of about 105,003 (261)
Fast and Slow Mixing of the Kawasaki Dynamics on Bounded‐Degree Graphs
ABSTRACT We study the worst‐case mixing time of the global Kawasaki dynamics for the fixed‐magnetization Ising model on the class of graphs of maximum degree Δ$$ \Delta $$. Proving a conjecture of Carlson, Davies, Kolla, and Perkins, we show that below the tree‐uniqueness threshold, the Kawasaki dynamics mix rapidly for all magnetizations. Disproving a
Aiya Kuchukova +3 more
wiley +1 more source
The refinement and generalization of Hardy's inequality in Sobolev space. [PDF]
Xue X, Li F.
europepmc +1 more source
Embeddings for spaces of Lorentz–Sobolev type [PDF]
Andreas Seeger, Walter Trebels
openalex +1 more source
Weak solutions for a singular beam equation
Abstract This paper deals with a dynamic Gao beam of infinite length subjected to a moving concentrated Dirac mass. Under appropriate regularity assumptions on the initial data, the problem possesses a weak solution which is obtained as the limit of a sequence of solutions of regularized problems.
Olena Atlasiuk +2 more
wiley +1 more source
An estimate on the Bedrosian commutator in Sobolev space. [PDF]
Oliver M.
europepmc +1 more source
Multiplicity results for logarithmic double phase problems via Morse theory
Abstract In this paper, we study elliptic equations of the form −divL(u)=f(x,u)inΩ,u=0on∂Ω,$$\begin{align*} -\operatorname{div}\mathcal {L}(u)=f(x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial \Omega, \end{align*}$$where divL$\operatorname{div}\mathcal {L}$ is the logarithmic double phase operator given by div|∇u|p−2∇u+μ(x)|∇u|q(e+|∇u ...
Vicenţiu D. Rădulescu +2 more
wiley +1 more source
Probabilistic linear widths of Sobolev space with Jacobi weights on [Formula: see text]. [PDF]
Zhai X, Hu X.
europepmc +1 more source
On a pure traction problem for the nonlinear elasticity system in Sobolev spaces with variable exponents [PDF]
Zoubai Fayrouz, Boubakeur Merouani
openalex +1 more source
A fractal local smoothing problem for the wave equation
Abstract For any given set E⊂[1,2]$E\subset [1,2]$, we discuss a fractal frequency‐localized version of the Lp$L^p$ local smoothing estimates for the half‐wave propagator with times in E$E$. A conjecture is formulated in terms of a quantity involving the Assouad spectrum of E$E$ and the Legendre transform.
David Beltran +3 more
wiley +1 more source
Some inequalities on weighted Sobolev spaces, distance weights, and the Assouad dimension [PDF]
Fernando López‐García +1 more
openalex +1 more source

