**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

**Congruence Lattices of Finite Algebras**

by

**William DeMeo**-

**arXiv**

We review a number of methods for finding a finite algebra with a given congruence lattice, including searching for intervals in subgroup lattices. We also consider methods for proving that algebras with a given congruence lattice exist...

(

**8500**views)

**An Elementary Introduction to Group Theory**

by

**M. E. Charkani**-

**AMS**

The theory of groups is a branch of mathematics in which we study the concept of binaryoperations. Group theory has many applications in physics and chemistry, and is potentially applicable in any situation characterized by symmetry.

(

**5457**views)

**Introduction to Arithmetic Groups**

by

**Dave Witte Morris**-

**arXiv**

This revised version of a book in progress on arithmetic groups and locally symmetric spaces contains several additional chapters, including the proofs of three major theorems of G. A. Margulis (superrigidity, arithmeticity, and normal subgroups).

(

**9713**views)

**Lie groups and Lie algebras**

by

**N. Reshetikhin, V. Serganova, R. Borcherds**-

**UC Berkeley**

From the table of contents: Tangent Lie algebras to Lie groups; Simply Connected Lie Groups; Hopf Algebras; PBW Theorem and Deformations; Lie algebra cohomology; Engel's Theorem and Lie's Theorem; Cartan Criterion, Whitehead and Weyl Theorems; etc.

(

**11121**views)