Logo

Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations

Small book cover: Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations

Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations
by

Publisher: Tata Institute of Fundamental Research
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

Book cover: An Elementary Introduction to Group TheoryAn Elementary Introduction to Group Theory
by - 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.
(697 views)
Book cover: Finite Rank Torsion Free Modules Over Dedekind DomainsFinite Rank Torsion Free Modules Over Dedekind Domains
by - University of Hawaii
Contents: Modules Over Commutative Rings; Fundamentals; Rank-one Modules and Types; Quasi-Homomorphisms; The t-Socle and t-Radical; Butler Modules; Splitting Rings and Splitting Fields; Torsion Free Rings; Quotient Divisible Modules; etc.
(5487 views)
Book cover: Notes on Categories and GroupoidsNotes on Categories and Groupoids
by - 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.
(10368 views)
Book cover: Symmetry Groups and Their ApplicationsSymmetry Groups and Their Applications
by - Academic Press
A beginning graduate level book on applied group theory. Only those aspects of group theory are treated which are useful in the physical sciences, but the mathematical apparatus underlying the applications is presented with a high degree of rigor.
(10070 views)