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math.AP2020
Smoothing and growth bound of periodic generalized Korteweg-de Vries equation
Seungly Oh, Atanas G. Stefanov
For generalized KdV models with polynomial nonlinearity, we establish nonlinear smoothing property in for . Such smoothing effect persists globally, provided t…
math.AP2020
Polynomial Bound and Nonlinear Smoothing for the Benjamin-Ono Equation on the Circle
Bradley Isom, Dionyssios Mantzavinos, Seungly Oh +1
For initial data in Sobolev spaces , , the solution to the Cauchy problem for the Benjamin-Ono equation on the circle is shown to grow at…