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Geometric Analysis for the Metropolis Algorithm on Lipschitz Domains
Geometry comparison Steve Nash sobolev inequality the convergence rate
2015/7/7
This paper gives geometric tools: comparison, Nash and Sobolev inequalities for pieces of the relevent Markov operators, that give useful bounds on rates of convergence for the Metropolis algorithm. A...
Real-variable Characterizations of Orlicz-Hardy Spaces on Strongly Lipschitz Domains of $\mathbb{R}^n$
Orlicz-Hardy space divergence form elliptic operator strongly Lipschitz domain Dirichlet boundary condition Gaussian property nontangential maximal function
2011/9/13
Abstract: Let $\Omega$ be a strongly Lipschitz domain of $\mathbb{R}^n$, whose complement in $\mathbb{R}^n$ is unbounded. Let $L$ be a second order divergence form elliptic operator on $L^2 (\Omega)$ ...
Orlicz-Hardy Spaces Associated with Divergence Operators on Unbounded Strongly Lipschitz Domains of $\mathbb{R}^n$
Orlicz-Hardy space divergence form elliptic operator strongly Lipschitz domain Neumann boundary condition Gaussian property
2011/9/9
Abstract: Let $\Omega$ be either $\mathbb{R}^n$ or an unbounded strongly Lipschitz domain of $\mathbb{R}^n$, and $\Phi$ be a continuous, strictly increasing, subadditive and positive function on $(0,\...
Spatial Besov Regularity for Stochastic Partial Differential Equations on Lipschitz Domains
Spatial Besov Regularity Partial Differential Equations Lipschitz Domains
2010/11/15
We use the scale of Besov spaces B^\alpha_{\tau,\tau}(O), \alpha>0, 1/\tau=\alpha/d+1/p, p fixed, to study the spatial regularity of the solutions of linear parabolic stochastic partial differential ...
Notes on Neumann Problem for Schrodinger Operators in Weighted Lipschitz Domains
Schrodinger equation Neumann problem weighted Lipschitz domains
2012/9/27
Let Ω be a bounded Lipschitz domain in ,nRn≥3 . Let 0()QQQααω =|− |, where 0Q is a fixed point on Ω∂ . For Schrödinger equation 0 uVu −Δ+ = in Ω , with singular non-neg...
Uniqueness theorems for inverse obstacle scattering in Lipschitz domains
Uniqueness theorems inverse obstacle scattering in Lipschitz domains
2010/11/1
An inverse problem of finding an obstacle and the boundary condition on its surface from the fixed-energy scattering data is studied. A new method is developed for a proof of the uniqueness results. T...