Observation and Control of Elastic Waves.- Modeling the Dispersion of Light.- Singularities and Oscillations in a Nonlinear Variational Wave Equation.- Viscous Boundary Layers and High Frequency Oscillations.- Nonlinear Oscillations and Caustics.- Microlocal Analysis on Morrey Spaces.- Nonlinear Geometric Optics for Reflecting and Glancing Oscillations.
This volume contains a multiplicity of approaches brought to bear on problems varying from the formation of caustics and the propagation of waves at a boundary, to the examination of viscous boundary layers. It examines the foundations of the theory of high- frequency electromagnetic waves in a dielectric or semiconducting medium. Nor are unifying themes entirely absent from nonlinear analysis: one chapter considers microlocal analysis, including paradifferential operator calculus, on Morrey spaces, and connections with various classes of partial differential equations.
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