Asymptotic Error Expansion and Richardson Extrapolation for Linear Finite Elements.
Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window
Asymptotic estimates for PDE with -Laplacian and damping.
Asymptotic estimates in Weighted Hölder spaces for a class of elliptic scale-covariant second order operators
Asymptotic Expansion for the Discretization Error in Linear Elliptic Boundary Value Problems on General Regions.
Asymptotic Expansions and L...-Error Estimates for Mixed Finite Element Methods for Second Order Elliptic Problems.
Asymptotic expansions for bounded solutions to semilinear Fuchsian equations.
Asymptotic formula for solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients near the boundary
We derive an asymptotic formula of a new type for variational solutions of the Dirichlet problem for elliptic equations of arbitrary order. The only a priori assumption on the coefficients of the principal part of the equation is the smallness of the local oscillation near the point.
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
We consider solutions to the time-harmonic Maxwell's Equations of a TE (transverse electric) nature. For such solutions we provide a rigorous derivation of the leading order boundary perturbations resulting from the presence of a finite number of interior inhomogeneities of small diameter. We expect that these formulas will form the basis for very effective computational identification algorithms, aimed at determining information about the inhomogeneities from electromagnetic boundary measurements. ...
Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points.
Asymptotic models for scattering from unbounded media with high conductivity
We analyze the accuracy and well-posedness of generalized impedance boundary value problems in the framework of scattering problems from unbounded highly absorbing media. We restrict ourselves in this first work to the scalar problem (E-mode for electromagnetic scattering problems). Compared to earlier works, the unboundedness of the rough absorbing layer introduces severe difficulties in the analysis for the generalized impedance boundary conditions, since classical compactness arguments are no...
Asymptotic paths for subsolutions of quasilinear elliptic equations.
Asymptotic profile of a radially symmetric solution with transition layers for an unbalanced bistable equation.
Asymptotic properties of a -Laplacian and Rayleigh quotient
In this paper we consider the -Laplacian problem with Dirichlet boundary condition, The term is a real odd and increasing homeomorphism, is a nonnegative function in and is a bounded domain. In these notes an analysis of the asymptotic behavior of sequences of eigenvalues of the differential equation is provided. We assume conditions which guarantee the existence of stationary solutions of the system. Under these rather stringent hypotheses we prove that any extremal is both a minimizer...
Asymptotic properties of ground states of scalar field equations with a vanishing parameter
We study the leading order behaviour of positive solutions of the equation , where , and when is a small parameter. We give a complete characterization of all possible asymptotic regimes as a function of , and . The behavior of solutions depends sensitively on whether is less, equal or bigger than the critical Sobolev exponent . For the solution asymptotically coincides with the solution of the equation in which the last term is absent. For the solution asymptotically coincides...
Asymptotic properties of the magnetic integrated density of states.
Asymptotic Property of Eigenvalues and Eigenfunctions of the Laplace Operator in Domain with a Perturbed Boundary
2000 Mathematics Subject Classification: 35J05, 35C15, 44P05In this paper, we consider the variations of eigenvalues and eigenfunctions for the Laplace operator with homogeneous Dirichlet boundary conditions under deformation of the underlying domain of definition. We derive recursive formulas for the Taylor coefficients of the eigenvalues as functions of the shape-perturbation parameter and we establish the existence of a set of eigenfunctions that is jointly holomorphic in the spatial and boundary-variation ...
Asymptotic representations for solutions of bisingular problems.
Asymptotic shape of solutions to the perturbed simple pendulum problems.
Asymptotic stability of a 9-point multigrid algorithm for convection-diffusion equations.