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In this paper, we prove an infinite dimensional Kolmogorov-Arnold-Moser theorem. As an application, it is shown that there are many small-amplitude linearly-stable quasi-periodic solutions for higher dimensional wave equations with… Click to show full abstract
In this paper, we prove an infinite dimensional Kolmogorov-Arnold-Moser theorem. As an application, it is shown that there are many small-amplitude linearly-stable quasi-periodic solutions for higher dimensional wave equations with a real Fourier multiplier, which are under nonlocal and forced perturbations with a special structure in space and short range property.
Keywords:
higher dimensional;
dimensional wave;
reducible kam;
nonlocal forced;
kam tori;
wave equations
Journal Title: Journal of Mathematical Physics
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Mathematical Physics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!