Approximate general solution of degenerate parabolic equations related to population genetics.
Approximate solutions of boundary value problems for the second and higer order linear PDE-s of the elliptic type in two independent variables
Approximate solutions of the incompressible Euler equations with no concentrations
Approximate traveling wave solutions of coupled Whitham-Broer-Kaup shallow water equations by homotopy analysis method.
Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods
In this paper we analyze the stream function-vorticity-pressure method for the Stokes eigenvalue problem. Further, we obtain full order convergence rate of the eigenvalue approximations for the Stokes eigenvalue problem based on asymptotic error expansions for two nonconforming finite elements, and . Using the technique of eigenvalue error expansion, the technique of integral identities and the extrapolation method, we can improve the accuracy of the eigenvalue approximations.
Approximation by solutions of general boundary value problems for elliptic equations of arbitrary order
Approximation in by solutions of quasi-elliptic equations.
Approximation of homogeneous measures in the 2-Wasserstein metric.
Approximation of solutions of nonlinear heat transfer problems.
Approximation of solutions to evolution integrodifferential equations.
Approximation of the resonance boundary-value problems of elliptic type with a discontinuous nonlinearity.
Approximations of Sobolev maps between an open set and an Euclidean sphere, boundary data, and singularities.
A-quasiconvexity : weak-star convergence and the gap
Asymmetric heteroclinic double layers
Let be a non-negative function of class from to , which vanishes exactly at two points and . Let be the set of functions of a real variable which tend to at and to at and whose one dimensional energyis finite. Assume that there exist two isolated minimizers and of the energy over . Under a mild coercivity condition on the potential and a generic spectral condition on the linearization of the one-dimensional Euler–Lagrange operator at and , it is possible to prove...
Asymmetric heteroclinic double layers
Let W be a non-negative function of class C3 from to , which vanishes exactly at two points a and b. Let S1(a, b) be the set of functions of a real variable which tend to a at -∞ and to b at +∞ and whose one dimensional energy is finite. Assume that there exist two isolated minimizers z+ and z- of the energy E1 over S1(a, b). Under a mild coercivity condition on the potential W and a generic spectral condition on the linearization of the one-dimensional Euler–Lagrange operator at z+ and...
Asymptotic behavior for discretizations of a semilinear parabolic equation with a nonlinear boundary condition.
Asymptotic behavior for numerical solutions of a semilinear parabolic equation with a nonlinear boundary condition.
Asymptotic Behavior of Fundamental Solutions and Potential Theory of Prabolic Operators with Variable Coeeficients.
Asymptotic behaviour of the weighted trace of the Schrödinger operator.
Asymptotic solutions to Fuchsian equations in several variables
The aim of this paper is to construct asymptotic solutions to multidimensional Fuchsian equations near points of their degeneracy. Such construction is based on the theory of resurgent functions of several complex variables worked out by the authors in [1]. This theory allows us to construct explicit resurgent solutions to Fuchsian equations and also to investigate evolution equations (Cauchy problems) with operators of Fuchsian type in their right-hand parts.