chapter  1
22 Pages

Boundary Value Problems

In this opening chapter, we list all boundary-value problems discussed in this monograph: a single elliptic equation, a linear elasticity problem representing a class of elliptic systems, and time-harmonic Maxwell equations. All problems are set up in a bounded domain ⊂ R3 with boundary split into parts D, N, and C on which the Dirichlet, Neumann, and Cauchy boundary conditions will be imposed. Examples of problems defined in unbounded domains will be discussed in Chapters 10 and 11.