Description
Book SynopsisThe theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book presents an introduction to various facets of the theory.
Table of ContentsBasic notions Finite speed of propagation of signals Hyperbolic equations with constant coefficients Hyperbolic equations with variable coefficients Pseudodifferential operators and energy inequalities Existence of solutions Waves and rays Finite difference approximation to hyperbolic equations Scattering theory Hyperbolic systems of conservation laws Huygens' principle for the wave equation on odd-dimensional spheres Hyperbolic polynomials The multiplicity of eigenvalues Mixed initial and boundary value problems Energy decay for star-shaped obstacles.
