Solutions to linear and nonlinear Schrödinger equations in 2D and 3D can be constructed with prescribed, arbitrarily large and highly localized spatial gradients near chosen boundary points.
Weck, Approximation by Herglotz wave functions,Mathematical Methods in the Applied Sciences, 27(2) (2004), 155–162
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Construction of Solutions with Extraordinary Gradient Amplification and Localization for Schr\"odinger Equations
Solutions to linear and nonlinear Schrödinger equations in 2D and 3D can be constructed with prescribed, arbitrarily large and highly localized spatial gradients near chosen boundary points.