most citedGrowth Bound and Nonlinear Smoothing for the Periodic Derivative Nonlinear Schrödinger Equation

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math.AP2020★ 1 cited

Growth Bound and Nonlinear Smoothing for the Periodic Derivative Nonlinear Schrödinger Equation

Bradley Isom, Dionyssios Mantzavinos, Atanas Stefanov

A polynomial-in-time growth bound is established for global Sobolev solutions to the derivative nonlinear Schrödinger equation on the circle with . These boun…

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…