نتایج جستجو برای: pointwise convergence
تعداد نتایج: 117910 فیلتر نتایج به سال:
Much work has gone into the construction of quasicontinuum energies that reduce the coupling error along the interface between atomistic and continuum regions. The largest consistency errors are typically pointwise O( 1 ε ) errors, and in some cases this has been reduced to pointwise O(1) errors. In this paper we show that one cannot create a coupling method using a finite-range coupling interf...
In 1931, Birkhoff gave a general and rigorous description of the ergodic hypothesis from statistical meachanics. This concept can be generalized by group actions of a large class of amenable groups on σ-finite measure spaces. The expansion of this theory culminated in Lindenstrauss’ celebrated proof of the general pointwise ergodic theorem in 2001. The talk is devoted to the introduction of abs...
We consider infinite-dimensional convex minimization problems with pointwise inequality constraints. We do not impose a constraint qualification condition, so that first-order necessary conditions are not available. To handle such problems we propose a method which combines advantages both from well-known penalty and barrier methods. For solving the resulting subproblems we develop a Newton-typ...
We study a Laplace operator on semidiscrete surfaces which is defined by variation of the Dirichlet energy functional. We show existence and its relation to the mean curvature normal, which is itself defined via variation of area. We establish several core properties like linear precision (closely related to the mean curvature of flat surfaces), and pointwise convergence. It is interesting to o...
In this paper we study the pointwise convergence problem along a tangential curve for fractional Schrodinger equations in one spatial dimension and estimate capacitary of divergence set. We extend prior by Lee first author classical equation, which itself contains result due to Lee, Vargas author, equation. The proof is based on decomposition argument without time localization, has recently bee...
For a Tychonoff space $X$, we denote by $C_p(X)$ the of all real-valued continuous functions on $X$ with topology pointwise convergence. We study functional characterization covering property Hurewicz.
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