Civil Engineering Association

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

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.

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