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: Mathematical Physics IIMathematical Physics II
by - SISSA
These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.
(11072 views)
Book cover: Differential EquationsDifferential Equations
by - 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...
(7166 views)
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.
(12026 views)
Book cover: Analysis Tools with ApplicationsAnalysis Tools with Applications
by - Springer
These are lecture notes from Real analysis and PDE: Basic Topological, Metric and Banach Space Notions; Riemann Integral and ODE; Lebesbgue Integration; Hilbert Spaces and Spectral Theory of Compact Operators; Complex Variable Theory; etc.
(9996 views)