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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Low regularity conservation laws for the fifth-order modified KdV equations in Besov spaces
Besov空间 五阶修正KdV方程 低正则性 守恒定律
2023/4/19
We get a priori estimates for the fifth-order modified KdV equations in Besov spaces with low regularity which cover the full subcritical range. These estimates are obtained from the power series expa...
Global well-posedness for the Kawahara equation with low regularity data
Kawahara equation global well-posedness Cauchy problem I-method
2012/3/1
We consider the global well-posedness for the Cauchy probelem of the Kawahara equation which is one of the fifth order KdV type equations. We first establish the local well-posedness in a more suitabl...
$L^q$ bounds on restrictions of spectral clusters to submanifolds for low regularity metrics
$L^q$ restrictions spectral clusters submanifolds low regularity metrics
2012/3/1
We prove $L^q$ bounds on the restriction of spectral clusters to submanifolds in Riemannian manifolds equipped with metrics of $C^{1,\alpha}$ regularity for $0 \leq \alpha \leq 1$. Our results allow f...