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

Details 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

2005-10-21

arxiv.org/abs/gr-qc/0510097v2

Springer Lecture Notes in Mathematics, LNM 1898, Springer: Berlin, 2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

This paper has been withdrawn since a revised version is published in the series `Springer Lecture Notes in Mathematics'

Scientific paper

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.

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