Examines ill-posed, initial-history boundary-value problems
associated with systems of partial-integrodifferential equations
arising in linear and nonlinear theories of mechanical
viscoelasticity, rigid nonconducting material dielectrics, and heat
conductors with memory. 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.
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