Titlebook: Microlocal Analysis and Nonlinear Waves; Michael Beals,Richard B. Melrose,Jeffrey Rauch Conference proceedings 1991 Springer-Verlag New Yo

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Mark Williamsom local governments, public institutions, researchers, and Assembling papers originally presented at the Resilient Cities 2011 Congress in Bonn, Germany (June 2011), the second global forum on cities and adaptation to climate change, this volume is the second in a series resulting from this annual

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Regularity of Nonlinear Waves Associated with a Cusp,cteristic surface with a cusp singularity. If . is strictly hyperbolic and . is assumed to be regular in the past with respect to differentiation by a natural family of smooth vector fields, then . is regular in the future, and “conormal” with respect to a larger family of vector fields which are no

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Water Waves, Hamiltonian Systems and Cauchy Integrals,e are simply the derivation of a formalism that arises in posing the problem. This consists in writing the equations of motion as a Hamiltonian system. In doing this, several interesting questions arise, which are associated with Laplace’s equation on plane domains. I am not reporting on analytical

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Infinite Gain of Regularity for Dispersive Evolution Equations,smoothness. An equation need not be hypoelliptic for this to happen provided the initial data vanish at spatial infinity. For instance, for the Schrödinger equation in .., this is clear from the explicit solution formula if the initial data decay faster than any polynomial. For the Korteweg-deVries

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Interacting Weakly Nonlinear Hyperbolic and Dispersive Waves,ions. Resonant interactions cause significant changes in the wave-field. The evolution of the wave-field is determined using weakly nonlinear asymptotics. Quadratically nonlinear resonant interactions of dispersive waves satisfy the three wave resonance condition. The wave amplitudes solve the three

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