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math.CA2012
Pointwise convergence of the Schrödinger maximal operator
Shuanglin Shao
This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.
math.AP2012★ 2 cited
Nonexistence of soliton-like solutions for defocusing generalized KdV equations
Soonsik Kwon, Shuanglin Shao
In this short note, we consider the global dynamics of the defocusing generalized KdV equations: u_t + u_{xxx} = (|u|^{p-1}u)_x. We use Tao's theorem that the energy moves faster t…