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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 ...
On the behavior of positive solutions of semilinear elliptic equations in asymptotically cylindrical domains
(Birkhauser Verlag, 2017)
The goal of this note is to study the asymptotic behavior of positive solutions for a class of semilinear elliptic equations which can be realized as minimizers of their energy functionals. This class includes the Fisher-KPP ...
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 ...
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 ...
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 ...
Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case
(Elsevier B.V., 2012-11-01)
We investigate the location, monotonicity, and asymptotics of the zeros of the polynomials orthogonal with respect to the Sobolev type inner product< p, q > (lambda,c.j) = integral(b)(a) p(x)q(x)mu(x) + lambda p((j))(c)q ...
Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case
(Elsevier B.V., 2012-11-01)
We investigate the location, monotonicity, and asymptotics of the zeros of the polynomials orthogonal with respect to the Sobolev type inner product< p, q > (lambda,c.j) = integral(b)(a) p(x)q(x)mu(x) + lambda p((j))(c)q ...
Comportamiento asintótico para el periodo del péndulo simple
(Revista Mexicana de Física, 2009)