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math.AP2018
Unconditional uniqueness for the derivative nonlinear Schrödinger equation on the real line
Razvan Mosincat, Haewon Yoon
We prove the unconditional uniqueness of solutions to the derivative nonlinear Schrödinger equation (DNLS) in an almost end-point regularity. To this purpose, we employ the normal…
math.AP2018
Normal form approach to unconditional well-posedness of nonlinear dispersive PDEs on the real line
Soonsik Kwon, Tadahiro Oh, Haewon Yoon
In this paper, we revisit the infinite iteration scheme of normal form reductions, introduced by the first and second authors (with Z. Guo), in constructing solutions to nonlinear…