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: Why the Boundary of a Round Drop Becomes a Curve of Order FourWhy the Boundary of a Round Drop Becomes a Curve of Order Four
by - American Mathematical Society
This book concerns the problem of evolution of a round oil spot surrounded by water when oil is extracted from a well inside the spot. It turns out that the boundary of the spot remains an algebraic curve of degree four in the course of evolution.
(14922 views)
Book cover: Lectures on Exterior Differential SystemsLectures on Exterior Differential Systems
by - Tata Institute of Fundamental Research
Contents: Parametrization of sets of integral submanifolds (Regular linear maps, Germs of submanifolds of a manifold); Exterior differential systems (Differential systems with independent variables); Prolongation of Exterior Differential Systems.
(9614 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.
(22776 views)
Book cover: Notes on Differential EquationsNotes on Differential Equations
by
Introductory notes on ordinary and partial differential equations for engineers. The text covers only the most important ideas. Assumed background is calculus and a little physics. Linear algebra is introduced in four of the lectures.
(16076 views)