An application of category theory to a class of the systems of the superquadratic wave equations.
An application of the theory of edge Sobolev spaces to weakly hyperbolic operators
An approach based on matrix polynomials for linear systems of partial differential equations
In this paper, an approach based on matrix polynomials is introduced for solving linear systems of partial differential equations. The main feature of the proposed method is the computation of the Smith canonical form of the assigned matrix polynomial to the linear system of PDEs, which leads to a reduced system. It will be shown that the reduced one is an independent system of PDEs having only one unknown in each equation. A comparison of the results for several test problems reveals that the method...
An approximate layering method for multi-dimensional nonlinear parabolic systems of a certain type
An asymptotic expansion for the solution of the generalized Riemann problem. Part I : general theory
An asymptotic expansion for the solution of the generalized Riemann problem. Part 2 : application to the equations of gas dynamics
An efficient applications of He's variational iteration method based on a reliable modification of Adomian algorithm for nonlinear boundary value problems.
An elementary approach to nonexistence of solutions of linear parabolic equations
This note presents an elementary approach to the nonexistence of solutions of linear parabolic initial-boundary value problems considered in the Feller test.
An Elementary Partial Regularity Proof for Vector-Valued Obstacle Problems.
An Elementary Proof of Harnack's Inequality for Schrödinger Operators and Related Topics.
An elementary theory of hyperfunctions and microfunctions
An elliptic equation with spike solutions concentrating at local minima of the Laplacian of the potential.
An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions
An estimate of the gap of the first two eigenvalues in the Schrödinger operator
An estimate on convergence for an homogeneisation problem for variational inequalities
An existence result for a quadrature surface free boundary problem
The aim of this paper is to present two different approachs in order to obtain an existence result to the so-called quadrature surface free boundary problem. The first one requires the shape derivative calculus while the second one depends strongly on the compatibility condition of the Neumann problem. A necessary and sufficient condition of existences is given in the radial case.
An existence result in nonlinear theory of electromagnetic fields
This paper is concerned with the nonlinear theory of equilibrium for materials which do not conduct electricity. An existence and uniqueness result is established.
An Existence Theorem for Class of Non-Coercive Optimization and Variational Problems.
An invariance method for constructing fundamental solutions for
An isoperimetric bound for a Sobolev constant