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: 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.
(15549 views)
Book cover: Group theory for Maths, Physics and ChemistryGroup theory for Maths, Physics and Chemistry
by
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.
(14347 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.
(9668 views)
Book cover: Geometry and Group TheoryGeometry and Group Theory
by - Texas A&M University
Lecture notes on Geometry and Group Theory. In this course, we develop the basic notions of Manifolds and Geometry, with applications in physics, and also we develop the basic notions of the theory of Lie Groups, and their applications in physics.
(19768 views)