[PDF][PDF] Stability estimates for the recovery of the nonlinearity from scattering data
We prove stability estimates for the problem of recovering the nonlinearity from scattering
data. We focus our attention on nonlinear Schr\" odinger equations of the …
data. We focus our attention on nonlinear Schr\" odinger equations of the …
Recovery of a spatially-dependent coefficient from the NLS scattering map
J Murphy - Communications in Partial Differential Equations, 2023 - Taylor & Francis
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On inverse scattering for the two-dimensional nonlinear Schrödinger equation
H Sasaki - Journal of Differential Equations, 2024 - Elsevier
The inverse scattering problem for the two-dimensional nonlinear Schrödinger equation iu t+
Δ u= N (u) is studied. We assume that the unknown nonlinearity N of the equation satisfies …
Δ u= N (u) is studied. We assume that the unknown nonlinearity N of the equation satisfies …
Deconvolutional determination of the nonlinearity in a semilinear wave equation
arXiv:2307.00829v1 [math.AP] 3 Jul 2023 Page 1 arXiv:2307.00829v1 [math.AP] 3 Jul 2023
DECONVOLUTIONAL DETERMINATION OF THE NONLINEARITY IN A SEMILINEAR WAVE …
DECONVOLUTIONAL DETERMINATION OF THE NONLINEARITY IN A SEMILINEAR WAVE …
Determination of Schr\" odinger nonlinearities from the scattering map
We prove that the small-data scattering map uniquely determines the nonlinearity for a wide
class of gauge-invariant, intercritical nonlinear Schr\" odinger equations. We use the Born …
class of gauge-invariant, intercritical nonlinear Schr\" odinger equations. We use the Born …
On inverse scattering for the two-dimensional nonlinear Klein-Gordon equation
H Sasaki - arXiv preprint arXiv:2406.06362, 2024 - arxiv.org
The inverse scattering problem for the two-dimensional nonlinear Klein-Gordon equation $
u_ {tt}-\Delta u+ u=\mathcal {N}(u) $ is studied. We assume that the unknown nonlinearity …
u_ {tt}-\Delta u+ u=\mathcal {N}(u) $ is studied. We assume that the unknown nonlinearity …