Asymptotic Expansions for the Solutions of Certain Nonlinear Parabolic Problems. I .
Asymptotic expansions of quasiperiodic solutions
Asymptotic Expansions of the Pressure and the Free Boundary for Flows through Porous Media.
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
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 formulas for the solutions of linear differential equations of the second order
Asymptotic integration of differential equations with singular -Laplacian
In this paper we deal with the problem of asymptotic integration of nonlinear differential equations with Laplacian, where . We prove sufficient conditions under which all solutions of an equation from this class are converging to a linear function as .
Asymptotic integration of parabolic problems with large high-frequency summands.
Asymptotic invariant sets of autonomous differential equations
Asymptotic justification of the conserved phase-field model with memory.
Asymptotic lower bounds for eigenvalues by nonconforming finite element methods.
Asymptotic methods for singularly perturbed linear differential equations in Banach spaces
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 observables and Coulomb scattering for the Dirac equation
Asymptotic observables for N-body Stark hamiltonians
Asymptotic paths for subsolutions of quasilinear elliptic equations.
Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball.
Asymptotic profile of a radially symmetric solution with transition layers for an unbalanced bistable equation.