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We give an expository survey on the subject of the Yamabe-type problem and applications. With a recent technique in hand, we also present a simplified proof of the result by Chang-Gursky-Yang on...
We obtain a family of nonlinear maximum principles for linear dissipative nonlocal operators,that are general, robust, and versatile. We use these nonlinear bounds to provide transparent proofs of glo...
Since the first International Conference on Magnetically Levitated Systems and Linear Drives (MAGLEV) in 1977, there were 7 conferences in Asia, 7 in Europe, 6 in North America and just one in the Sou...
For semi-linear wave equations with null form non-linearities on R3+1, we exhibit an open set of initial data which are allowed to be large in energy spaces, yet we can still obtain global solutions i...
This paper made a discuss on the relative efficiency of the generalized conditional root square estimation and the specific conditional root square estimation in paper [1,2] in inhomogeneous equality ...
The Finite-Difference Time-Domain (FDTD) method is a well-known technique for the analysis of quantum devices. It solves a discretized Schr?dinger equation in an iterative process. However, the method...
This note examines linear combinations of multi-indexed sequences and derives the multivariate generating function of such a linear combination in terms of the original sequence's m.g.f. Applications ...
Both linear mixed models (LMMs) and sparse regression models are widely used in genetics applications, including, recently, polygenic modeling in genome-wide association studies. These two approaches ...
This work considers the problem of learning linear Bayesian networks when some of the variables are unobserved. Identifiability and efficient recovery from low-order observable moments are established...
Auto-Associative models cover a large class of methods used in data analysis. In this paper, we describe the generals properties of these models when the projection component is linear and we propose ...
Penalized regression is an attractive framework for variable selection problems. Often, variables possess a grouping structure, and the relevant selection problem is that of selecting groups, not indi...
Despite the abundance of methods for variable selection and accommodating spatial structure in regression models, there is little precedent for incorporating spatial dependence in covariate inclusion ...
In this paper, a domain decomposition method with lagrange mul- tipliers based on geometrically non-conforming subdomain partitions for three dimensional linear elasticity is considered. Because of ...
In this work, we build exact dynamical invariants for time-dependent, linear, nonholo- nomic Hamiltonian systems in two dimensions. Our aim is to obtain an additional insight into the theoretical un...
The predictor-corrector methods P(EC)k with equidistant discretization are applied to the nu- merical integration of a linear stochastic oscillator. Their ability in preserving the symplecticity, the...

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