Asymptotic expansion of the heat kernel for a class of hypoelliptic operators
Asymptotic expansions for bounded solutions to semilinear Fuchsian equations.
Asymptotic expansions for linear symmetric hyperbolic systems with small parameter.
Asymptotic Expansions for the Solutions of Certain Nonlinear Parabolic Problems. I .
Asymptotic expansions of quasiperiodic solutions
Asymptotic integration of parabolic problems with large high-frequency summands.
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 representation of solutions to the Dirichlet problem for elliptic systems with discontinuous coefficients near the boundary.
Asymptotic representations for solutions of bisingular problems.
Asymptotic solutions of equations with slowly varying coefficients
Asymptotic theory for weakly nonlinear wave equations in semi-infinite domains.
Asymptotics for multifractal conservation laws
We study asymptotic behavior of solutions to multifractal Burgers-type equation , where the operator A is a linear combination of fractional powers of the second derivative and f is a polynomial nonlinearity. Such equations appear in continuum mechanics as models with fractal diffusion. The results include decay rates of the -norms, 1 ≤ p ≤ ∞, of solutions as time tends to infinity, as well as determination of two successive terms of the asymptotic expansion of solutions.
Asymptotics of solutions to Stokes and Navier-Stokes equations in domains with paraboloidal outlets to infinity
Asymptotics of solutions to the Dirichlet-Cauchy problem for parabolic equations in domains with edges
This paper is concerned with the Dirichlet-Cauchy problem for second order parabolic equations in domains with edges. The asymptotic behaviour of the solution near the edge is studied.
Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes