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

by Horst R. Beyer

**Publisher**: arXiv 2011**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.

Download or read it online for free here:

**Download link**

(2MB, PDF)

## Similar books

**Lectures on Exterior Differential Systems**

by

**M. Kuranishi**-

**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.

(

**9239**views)

**Differential Equations**

by

**William Woolsey Johnson**-

**J. Wiley**

The differential equation must necessarily at first be viewed in connection with a 'primitive', from which it might have been obtained by the direct process, and the solution consists in the discovery of such a primitive, when it exists...

(

**9613**views)

**Differential Equations**

by

**Paul Dawkins**-

**Lamar University**

Contents: Basic Concepts; First Order Differential Equations; Second Order DE; Laplace Transforms; Systems of Differential Equations; Series Solutions; Higher Order DE; Boundary Value Problems and Fourier Series; Partial Differential Equations.

(

**16498**views)

**Differential Equations From The Algebraic Standpoint**

by

**Joseph Fels Ritt**-

**The American Mathematical Society**

We shall be concerned, in this monograph, with systems of differential equations, ordinary or partial, which are algebraic in the unknowns and their derivatives. The algebraic side of the theory of such systems seems is developed in this book.

(

**6204**views)