**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

**An Elementary Treatise On Differential Equations And Their Applications**

by

**H.T.H. Piaggio**-

**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.

(

**8645**views)

**Notes on Differential Equations**

by

**Bob Terrell**

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.

(

**17624**views)

**Introduction to Differential Equations**

by

**Jeffrey R. Chasnov**-

**The Hong Kong University of Science &Technology**

Contents: A short mathematical review; Introduction to odes; First-order odes; Second-order odes, constant coefficients; The Laplace transform; Series solutions; Systems of equations; Bifurcation theory; Partial differential equations.

(

**16679**views)

**Topics in dynamics I: Flows**

by

**Edward Nelson**-

**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.

(

**19043**views)