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
Lectures on Algebraic Groupsby Alexander Kleshchev - 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.
(11148 views)
Group Characters, Symmetric Functions, and the Hecke Algebraby David M. Goldschmidt - American Mathematical Society
The book covers a set of interrelated topics, presenting a self-contained exposition of the algebra behind the Jones polynomial along with various excursions into related areas. Directed at graduate students and mathematicians.
(10463 views)
Congruence Lattices of Finite Algebrasby 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...
(7803 views)
Group Theory: Birdtracks, Lie's, and Exceptional Groupsby Predrag Cvitanovic - Princeton University Press
A book on the theory of Lie groups for researchers and graduate students in theoretical physics and mathematics. It answers what Lie groups preserve trilinear, quadrilinear, and higher order invariants. Written in a lively and personable style.
(13748 views)