Subject: Are We Prepared To Accept The Reality ?

Time: 4:00 pm (GMT+3) October 6, 2020

Abstract: In this lecture an attempt is being made to convince the world, especially we Indians that in reality Bharat, the Greater India, is the origin of mathematics. This will correct what most of the historians of Mathematics have claimed in their books, and we have accepted it religiously. We will also try to reassure that Mathematics as well as Proof cannot be defined. Further, we shall discuss features of Upapattis (word in Pali, Sanskrit, and Marathi languages) in Indian Mathematics.

Presentation

Subject: Degenerate Separable Differential Operators and Applications

Time: 13:00 pm (GMT+3) October 6, 2020 

Abstract: This talk devoted to regularity properties of degenerate convolution abstract elliptic and parabolic problem. Here were find sufficient conditions that guarantee the separability of linear problems in weighted L_p spaces. It is to be shown that the corresponding convolution-elliptic operator is \fi sectorial and is also a negative generator of an analytic semigroup. By using these results the
existence and uniqueness of maximal regular solution of the nonlinear convolution equation is obtained in weighted L_p spaces. In application, the maximal regularity properties of the Cauchy problem for degenerate abstract parabolic equation in mixed L_p norms, the boundary value problem for anisotropic elliptic convolution equation, the Wentzel-Robin type boundary value problem for degenerate integro-differential equation and in...nite systems of degenerate
elliptic integro-di¤erential equations are obtained.

Subject: Symmetry Methods for Differential Equations

Time: 10:00 am (GMT+3) October 6, 2020 

Abstract: Symmetry methods were developed by the Norwegian mathematician Marius Sophus Lie (1842-1899) in the latter half of the nineteenth century and are highly algorithmic. These methods systematically unite and broaden the well-known ad hoc techniques to construct exact solutions for differential equations, especially for nonlinear differential equations. In this talk we present a brief on symmetry methods and its applications to differential equations.