A Boundary Element Method for a Two-Dimensional Interface Problem in Electromagnetics.
A characteristic initial value problem for a strictly hyperbolic system.
A decomposition theorem for solutions of parabolic equations.
A nonlocal problem for fourth order hyperbolic equations with multiple characteristics.
A Quadrature-Based Approach to Improving the Collocation Method.
A study of bending waves in infinite and anisotropic plates
In this paper we present a unified approach to obtain integral representation formulas for describing the propagation of bending waves in infinite plates. The general anisotropic case is included and both new and well-known formulas are obtained in special cases (e.g. the classical Boussinesq formula). The formulas we have derived have been compared with experimental data and the coincidence is very good in all cases.
An analytical solution of the generalized equation of energy transport in one-dimensional semi-infinite domains.
An application of classical analysis.
An asymptotic formula for the Green's function of an elliptic operator
An elastic Green matrix for a semistrip.
An inequality on solutions of heat equation.
An integral equation technique for solving mixed boundary value problems
An integral formula for the derivatives of solutions of certain elliptic systems
Analysis of second order differential operators on Heisenberg groups. I.
Approximate solution of the one-dimensional heat conduction equation by the boundary element method
Approximation of Burgers' equation by pseudo-spectral methods
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 ...
Asymptotics for , II. Scattering theory
Asymptotics for I. Global existence and decay