**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.

Download or read it online for free here:

**Download link**

(600KB, PDF)

## Similar books

**Groups and Semigroups: Connections and Contrasts**

by

**John Meakin**-

**University of Nebraska-Lincoln**

In the present paper, I will discuss some of these connections between group theory and semigroup theory, and I will also discuss some rather surprising contrasts between the theories. I will focus primarily on the theory of inverse semigroups.

(

**6043**views)

**Notes on Categories and Groupoids**

by

**P. J. Higgins**-

**Van Nostrand Reinhold**

A self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment is by no means systematic.

(

**11265**views)

**Group Theory**

by

**Ferdi Aryasetiawan**-

**University of Lund**

The text deals with basic Group Theory and its applications. Contents: Abstract Group Theory; Theory of Group Representations; Group Theory in Quantum Mechanics; Lie Groups; Atomic Physics; The Group SU2: Isospin; The Point Groups; The Group SU3.

(

**11133**views)

**Frobenius Splittings and B-Modules**

by

**Wilberd van der Kallen**-

**Springer**

The course given by the author in 1992 explains the solution by O. Mathieu of some conjectures in the representation theory of arbitrary semisimple algebraic groups. The conjectures concern filtrations of 'standard' representations.

(

**5832**views)