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Showing 2026 · math.APShow all
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math.AP2026
Local well-posedness for the biharmonic nonlinear Schrödinger equation in low dimensions
Iryna Petrenko, Oscar Riaño, Svetlana Roudenko
In this paper we consider the 4th order (or biharmonic) nonlinear Schrödinger (NLS) equation in dimensions 1, 2, and 3, where the potential term is expressed as a power non-lineari…
math.AP2026
The nonlinear Schrödinger equation with combined nonlinearities in 1D
Oscar Riaño, Alex D Rodriguez, Svetlana Roudenko
We consider the one-dimensional nonlinear Schrödinger equation with the nonlinearity term that is expressed as a s…