Spatial decay and spectral properties of rotating waves in parabolic systems
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The three main results of this work are classified into spatial decay of rotating waves, spectral properties of rotating waves and numerical results. These issues can be found in the following sections:
Spatial decay: Chapter 3, Chapter 4, Section5.1-5.6, Chapter 6, Section 7.1-7.3, Chapter 8,
Spectral properties: Section 7.4, Chapter 9,
Numerical results: Section 2.1, Chapter 10.
Of course, these topics are closely related, but the material in the corresponding sections can be read more or less independently. The Sections 2.2 and 2.3 serve as background material for the Ornstein-Uhlenbeck operator. The Sections 5.7 and 5.8 provide a useful preparation for the theoretical part of Sections 10.1, 10.2 and 10.5.
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