Garding's Inequality for Elliptic Differential Operator with Infinite Number of Variables

Garding's Inequality for Elliptic Differential Operator with Infinite Number of Variables

We formulate the elliptic differential operator with infinite number of variables and investigate that it is well defined on infinite tensor product of spaces of square integrable functions. Under suitable conditions, we prove Garding's inequality for this operator.

Boundary Control Problem with an Infinite Number of Variables

Using a previous result by Gali and El-Saify (1983) and the theory of Kotarski (1989), and Lions (1971), we formulate the boundary control problem for a system governed by Neumann problem involving selfadjoint elliptic operator of 2 th order with an infinite number of variables. The inequalities which characterize the optimal control in terms of the adjoint system are obtained, it is studied in...

A Poincaré-type Inequality for Solutions of Elliptic Differential Equations

A sharpened version of the Poincaré inequality is shown to hold for solutions of a large class of second order elliptic equations.

On the generalization of Trapezoid Inequality for functions of two variables with bounded variation and applications

In this paper, a generalization of trapezoid inequality for functions of two independent variables with bounded variation and some applications are given.

On Humbert matrix function of two complex variables under differential operator