Low Regularity Stability for Subcritical Generalized Korteweg-de Vries Equations
In this thesis we prove polynomial-in-time upper bounds for the orbital instability of solitons for subcritical generalized Korteweg-de Vries equations in $H^{s}_{x}(\mathbb{R})$ with $s < 1$. By combining coercivity estimates of Weinstein with the $I$-method as developed by Colliander, Keel, St...
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| Language: | en_ca |
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2011
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| Online Access: | http://hdl.handle.net/1807/31899 |