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: Galois Groups and Fundamental GroupsGalois Groups and Fundamental Groups
by - Cambridge University Press
This book contains eight articles which focus on presenting recently developed new aspects of the theory of Galois groups and fundamental groups, avoiding classical aspects which have already been developed at length in the standard literature.
(13904 views)
Book cover: Congruence Lattices of Finite AlgebrasCongruence Lattices of Finite Algebras
by - 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...
(9635 views)
Book cover: Frobenius Splittings and B-ModulesFrobenius Splittings and B-Modules
by - Springer
The course given by the author in 1992 explains the solution by O. Mathieu of some conjectures in the representation theory of arbitrary semisimple algebraic groups. The conjectures concern filtrations of 'standard' representations.
(9182 views)
Book cover: Introduction to Arithmetic GroupsIntroduction to Arithmetic Groups
by - 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).
(10849 views)