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A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton-Jacobi Equations
Large-time Behavior Hamilton-Jacobi Equations Initial-Boundary Value Problem
2011/1/18
We investigate the large-time behavior of three types of initial-boundary value problems for Hamilton-Jacobi Equations with nonconvex Hamiltonians.
The real estate credit risk based on the value model with jump and stochastic interests
Asset model with jump Volatility Default probability
2010/9/21
This paper is to assess the real estate credit risk with the help of the value model with jump and stochastic interests. Using the value obeying a stochastic jump-diffusion process, applying the Ito t...
On a conjecture for a sixth order overdetermined elliptic boundary value problem
Overdetermined elliptic problems triharmonic operator
2010/9/20
In this note, we prove the conjecture of Payne and Schaefer [2], regarding an overdetermined boundary value problem for the triharmonic operator, Δ3 = ΔΔΔ. It is deduced that if a solution of the prob...
The mixed boundary value problem for semilinear elliptic equation in domains with edges
mixed boundary value problem domain with edges
2010/9/25
In this paper, we prove the existence and uniqueness of generalized solution of the mixed boundary value problem for semilinear elliptic equation in domains with edges. In addition, some results on sm...
Existence and approximation of solutions for nonlocal boundary value problems with mixed nonlinearities
Quasilinearization three-point boundary value problem
2010/9/20
In this paper, we study a second-order boundary value problem involving mixed nonlinearities in the differential equation and nonlinear nonlocal general three-point boundary conditions. We develop a g...
Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type
Boundary value problems Riemannian the noncompact Type
2010/11/11
We characterize the image of the Poisson transform on each boundary component of a Riemannian symmetric space of the noncompact type by a system of differential equations. The system corresponds to a...
Henselian valued quasilocal fields with totally indivisible value groups, II
Henselian valued quasilocal fields value groups, II
2010/11/18
This paper characterizes the quasilocal fields from the class of Henselian valued fields with totally indivisible value groups, over which there exist finite separable extensions of nontrivial defect...
Minimizing Communication for Eigenproblems and the Singular Value Decomposition
Minimizing Communication Eigenproblems the Singular Value Decomposition
2010/11/19
Algorithms have two costs: arithmetic and communication. The latter represents the cost of moving data, either between levels of a memory hierarchy, or between processors over a network. Communicatio...
Extreme events in total ozone over Arosa – Part 1: Application of extreme value theory
Extreme events total ozone Arosa extreme value theory
2010/11/3
In this study ideas from extreme value theory are for the first time applied in the field of stratospheric ozone research, because statistical analysis showed that previously used concepts assuming a ...
The Value of Information for Populations in Varying Environments
Information Populations Varying Environments
2010/11/15
The notion of information pervades informal descriptions of biological systems, but formal treatments face the problem of defining a quantitative measure of information rooted in a concept of fitness...
Fock-state view of weak-value measurements and implementation with photons and atomic ensembles
Fock-state view weak-value measurements implementation photons atomic ensembles
2010/11/5
Weak measurements in combination with post-selection can give rise to a striking amplification effect (related to a large "weak value"). We show that this effect can be understood by viewing the initi...
Solving a nonlinear system of second order two-point boundary value problem
Nonlinear second-order differential system Reproducing kernel space Two-point boundary problem
2010/9/13
In this paper, we give a new method to solve a nonlinear system of second order two-point boundary value problem. Its exact solutions are represented in the form of series in the reproducing kernel sp...
On Rayleigh-Type Formulas for a Non-local Boundary Value Problem Associated with an Integral Operator Commuting with the Laplacian
Rayleigh functions Laplacian eigenvalue problems non-local boundary conditions
2010/12/9
In this article, we provide two different ways of producing recursive formulas for the Rayleigh functions of eigenvalues of the one-dimensional Laplacian with non-local boundary conditions, which comm...
Value sharing of meromorphic functions and Fang's problem
uniqueness meromorphic function value sharing polynomial
2010/12/3
In this paper, we shall study the uniqueness problems on meromorphic functions sharing a polynomial. We give a complete answer to a problem posed by Fang Mingliang.Our results improve or generalize th...
Dynamic interactions in terms of senders, hubs, and receivers (SHR) using the singular value decomposition of time series: Theory and brain connectivity applications
Dynamic interactions senders hubs receivers singular value decomposition of time series: Theory and brain connectivity applications
2010/12/15
Understanding of normal and pathological brain function requires the identification and localization of functional connections between specialized regions. The availability of high time resolution sig...