Logo

Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations

Small book cover: Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations

Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations
by

Publisher: arXiv
Number of pages: 275

Description:
This course introduces the use of semigroup methods in the solution of linear and nonlinear (quasi-linear) hyperbolic partial differential equations, with particular application to wave equations and Hermitian hyperbolic systems. Throughout the course applications to problems from current relativistic (hyperbolic) physics are provided, which display the potential of semigroup methods in the solution of current research problems in physics.

Home page url

Download or read it online for free here:
Download link
(2MB, PDF)

Similar books

Book cover: An Elementary Treatise On Differential Equations And Their ApplicationsAn Elementary Treatise On Differential Equations And Their Applications
by - G. Bell
The object of this book is to give an account of the central parts of the subject in as simple a form as possible, suitable for those with no previous knowledge of it, and to point out the different directions in which it may be developed.
(6826 views)
Book cover: Techniques of Applied MathematicsTechniques of Applied Mathematics
by - University of Oxford
This course develops mathematical techniques which are useful in solving 'real-world' problems involving differential equations. The course embraces the ethos of mathematical modelling, and aims to show in a practical way how equations 'work'.
(9074 views)
Book cover: Topics in dynamics I: FlowsTopics in dynamics I: Flows
by - Princeton University Press
Lecture notes for a course on differential equations covering differential calculus, Picard's method, local structure of vector fields, sums and Lie products, self-adjoint operators on Hilbert space, commutative multiplicity theory, and more.
(16339 views)
Book cover: Difference Equations to Differential Equations - An introduction to calculusDifference Equations to Differential Equations - An introduction to calculus
by
The book is on sequences, limits, difference equations, functions and their properties, affine approximations, integration, polynomial approximations and Taylor series, transcendental functions, complex plane and differential equations.
(21447 views)