Ill-Posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory (SIAM Studies in Applied and Numerical Methematics) (Studies in Applied and Numerical Mathematics)

Variants of two differential inequalities, logarithmic convexity, and concavity are employed. Ideas based on energy arguments, Riemann invariants, and topological dynamics applied to evolution equations are also introduced. These concepts are discussed in an introductory chapter and applied there to initial boundary value problems of linear and nonlinear diffusion and elastodynamics. Subsequent chapters begin with an explanation of the underlying physical theories.