**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 as Graphs**

by

**W. B. V. Kandasamy, F. Smarandache**-

**CuArt**

In this book, for the first time, the authors represented every finite group in the form of a graph. This study is significant because properties of groups can be immediately obtained by looking at the graphs of the groups.

(

**7006**views)

**Smarandache Semigroups**

by

**W. B. Vasantha Kandasamy**-

**American Research Press**

The Smarandache semigroups exhibit properties of both a group and a semigroup simultaneously. This book assumes the reader to have a good background on group theory; we give some recollection about groups and some of its properties for reference.

(

**5421**views)

**Elements of Group Theory**

by

**F. J. Yndurain**-

**arXiv**

The following notes are the basis for a graduate course. They are oriented towards the application of group theory to particle physics, although some of it can be used for general quantum mechanics. They have no pretense of mathematical rigor.

(

**10447**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.

(

**9584**views)