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: Lectures on Algebraic GroupsLectures on Algebraic Groups
by - University of Oregon
Contents: General Algebra; Commutative Algebra; Affine and Projective Algebraic Sets; Varieties; Morphisms; Tangent spaces; Complete Varieties; Basic Concepts; Lie algebra of an algebraic group; Quotients; Semisimple and unipotent elements; etc.
(11821 views)
Book cover: Finite Group SchemesFinite Group Schemes
by - 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.
(8610 views)
Book cover: Elements of Group TheoryElements of Group Theory
by - arXiv
The following notes are the basis for a graduate course. They are oriented towards the application of group theory to particle physics, although some of it can be used for general quantum mechanics. They have no pretense of mathematical rigor.
(15232 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.
(14129 views)