**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

**An Elementary Introduction to Groups and Representations**

by

**Brian C. Hall**-

**arXiv**

An elementary introduction to Lie groups, Lie algebras, and their representations. Topics include definitions and examples of Lie groups and Lie algebras, the basics of representations theory, the Baker-Campbell-Hausdorff formula, and more.

(

**19089**views)

**An Introduction to Group Theory: Applications to Mathematical Music Theory**

by

**Flor Aceff-Sanchez, et al.**-

**BookBoon**

In this text, a modern presentation of the fundamental notions of Group Theory is chosen, where the language of commutative diagrams and universal properties, so necessary in Modern Mathematics, in Physics and Computer Science, is introduced.

(

**10912**views)

**Group theory for Maths, Physics and Chemistry**

by

**Arjeh Cohen, Rosane Ushirobira, Jan Draisma**

Symmetry plays an important role in chemistry and physics. Group captures the symmetry in a very efficient manner. We focus on abstract group theory, deal with representations of groups, and deal with some applications in chemistry and physics.

(

**14288**views)

**Finite Group Schemes**

by

**Richard Pink**-

**ETH Zurich**

The aim of the lecture course is the classification of finite commutative group schemes over a perfect field of characteristic p, using the classical approach by contravariant Dieudonne theory. The theory is developed from scratch.

(

**9936**views)