This repository contains online notes written by Bjorn Sandstede.
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Absolute spectra: Gives a brief overview of spectra of PDE operators on large bounded interval and their limit as the interval length goes to infinity
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Evans function example: Contains a nonlinear heat equation that admits a stationary localized wave whose Evans function can be calculated explicitly
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Dynamics of wave trains: Gives an overview of the existence and stability of wave trains in reaction-diffusion systems, including results on modulation equations
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Spatial dynamics: Contains an overview of spatial dynamics with applications to essential instabilities
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Travelling waves: Contains an outline of existence and stability properties of travelling-wave solutions of reaction-diffusion systems on the real line