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Asymptotic Behavior for a nonlocal diffusion equation on the half line
(Amer Inst Mathematical Sciences, 2015-04)
We study the large time behavior of solutions to a nonlocal diffusion equation, ut=J∗u−u with J smooth, radially symmetric and compactly supported, posed in R+ with zero Dirichlet boundary conditions. In the far-field ...
Asymptotic Behavior for a Nonlocal Diffusion Equation in Domains with Holes
(Springer, 2012-08)
The paper deals with the asymptotic behavior of solutions to a non-local diffusion equation, ut = J ∗u −u := Lu, in an exterior domain, Ω, which excludes one or several holes, and with zero Dirichlet data on RN \Ω. When ...
Asymptotic, Higher Order
(Springer, 2010)
Higher order asymptotic deals with two sorts of closely related things. First, there are questions of approximation. One is concerned with expan- sions or inequalities for a distribution function. Second, there are inferential ...
A note on S-asymptotically periodic functions
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
In [Haiyin Gao, Ke Wang, Fengying Wei, Xiaohua Ding, Massera-type theorem and asymptotically periodic Logistic equations, Nonlinear Analysis: Real World Applications 7 (2006) 1268-1283, Lemma 2.1] it is established that a ...
Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
The paper establishes the existence and uniqueness of asymptotically almost automorphic mild solution to an abstract partial neutral integro-differential equation with unbounded delay. An example is given to illustrate our ...
Asymptotic behavior of the Steklov eigenvalues for the p-Laplace operator
(De Gruyter, 2007-12)
In this paper we study the asymptotic behavior of the Steklov eigenvalues of the p-Laplacian. We show the existence of lower and upper bounds of a Weyl-type expansion of the function N(λ) which counts the number of eigenvalues ...
Near-field asymptotics for the porous medium equation in exterior domains: The critical two-dimensional case
(Society for Industrial and Applied Mathematics, 2018-09)
We consider the porous medium equation in an exterior two-dimensional domain that excludes a hole, with zero Dirichlet data on its boundary. Gilding and Goncerzewicz proved in 2007 that in the far-field scale, which is the ...
The asymptotic behavior of nonlinear eigenvalues
(Rocky Mt Math Consortium, 2007-12)
In this paper we study the asymptotic behavior of eigenvalues of the weighted one dimensional p Laplace operator, by using the Prufer transformation. We found the order of growth of the kth eigenvalue, improving the remainder ...
Asymptotics for Gegenbauer-Sobolev orthogonal polynomials associated with non-coherent pairs of measures
(IOS Press, 2008-01-01)
Inner products of the type < f, g >(S) = < f, g >psi(0) + < f', g'>psi(1), where one of the measures psi(0) or psi(1) is the measure associated with the Gegenbauer polynomials, are usually referred to as Gegenbauer-Sobolev ...