Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations

Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations
by K. Yosida

Publisher: Tata Institute of Fundamental Research 1957
ISBN/ASIN: B0007J817I
Number of pages: 160

Description:
In these lectures, we shall be concerned with the differentiability and the representation of one-parameter semi-groups of bounded linear operators on a Banach space and with some of their applications to the initial value problem (Cauchy's problem) for differential equations, especially for the diffusion equation (heat equation) and the wave equation.