WebApplying parallel multi-thread ensemble learning, our proposed method has constant time complexity, which is critical to large scale data and online filtering. We proposed a novel index-based online text classification method, investigated two index models, and compared the performances of various index granularities for English and Chinese SMS ... WebSorted by: 89. Sobolev norms are trying to measure a combination of three aspects of a function: height (amplitude), width (measure of the support), and frequency (inverse wavelength). Roughly speaking, if a function has amplitude A, is supported on a set of volume V, and has frequency N, then the W k, p norm is going to be about A N k V 1 / p.
scaling-criticalpotentialsandapplications
WebJun 2, 2015 · Download Citation Blow-up of the critical Sobolev norm for nonscattering radial solutions of supercritical wave equations on $\mathbb{R}^{3}$ We consider the wave equation in space dimension ... WebOct 26, 2024 · Theorems 1.1 and 1.2 seem to be the first results of the normalized solution for fractional Sobolev critical Schrödinger coupling systems. The paper is organized as follows. Section 2 introduces relative results of scalar equations and some preliminaries, which play an important role in the proof of Palais-Smale condition. fisherman\\u0027s yarn
BLOW-UP CRITERIA BELOW SCALING FOR …
WebThis is related to my previous question An inequality involving Sobolev embedding with epsilon. There I wished to get that, for given a nice bounded domain Ω in R n, ∀ ϵ > 0, ∃ C ϵ s.t. where 2 ∗ = 2 n / ( n − 2) is the critical Sobolev exponent. Due to the lack of compact embedding from H 1 into L 2 ∗. WebWe show that if the critical Sobolev norm on compact time intervals is controlled by a slowly growing quantity ... with radially symmetric initial data in the scaling critical Sobolev space H_ s c(R3), s c = 7=6, posed on a time interval 0 2I ˆR. Here, H_ s c denotes the usual homogeneous Sobolev space, with norm given by kfk2 H_ sc = Z WebSep 11, 2016 · In the proof of above results, we study in details the space of zero resonant states which is defined as a subspace of the scaling-critical homogeneous Sobolev … fisherman\\u0027s yarn lion brand