148 citations · 187 across the 25 of their papers we have counts for
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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…
The Linearized Classical Boussinesq System on the Half-Line
C. M. Johnston, Clarence T. Gartman, Dionyssios Mantzavinos
The linearization of the classical Boussinesq system is solved explicitly in the case of nonzero boundary conditions on the half-line. The analysis relies on the unified transform…
Inverse scattering transform for the focusing nonlinear Schrodinger equation with counterpropagating flows
Gino Biondini, Jonathan Lottes, Dionyssis Mantzavinos
The inverse scattering transform for the focusing nonlinear Schrodinger equation is presented for a general class of initial conditions whose asymptotic behavior at infinity consis…
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…