**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

**Group Theory**

by

**J. S. Milne**

Contents: Basic Definitions and Results; Free Groups and Presentations; Coxeter Groups; Automorphisms and Extensions; Groups Acting on Sets; The Sylow Theorems; Subnormal Series; Solvable and Nilpotent Groups; Representations of Finite Groups.

(

**11289**views)

**Lectures on Topics In The Theory of Infinite Groups**

by

**B.H. Neumann**-

**Tata Institute of Fundamental Research**

As the title suggests, the aim was not a systematic treatment of infinite groups. Instead the author tried to present some of the methods and results that are new and look promising, and that have not yet found their way into the books.

(

**7813**views)

**Group Theory: Birdtracks, Lie's, and Exceptional Groups**

by

**Predrag Cvitanovic**-

**Princeton University Press**

A book on the theory of Lie groups for researchers and graduate students in theoretical physics and mathematics. It answers what Lie groups preserve trilinear, quadrilinear, and higher order invariants. Written in a lively and personable style.

(

**13014**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.

(

**8152**views)