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Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics
In this article we show that the Euler equations, when linearized around a low frequency perturbation to Couette flow, exhibit norm inflation in Gevrey-type spaces as time tends to infinity. Thus, echo chains are shown to ...
Static and Dynamical, Fractional Uncertainty Principles
We study the process of dispersion of low-regularity solutions to the Schrödinger equation using fractional weights (observables). We give another proof of the uncertainty principle for fractional weights and use it to get ...