Complex Solutions and Stationary Scattering for the Nonlinear Helmholtz Equation
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Publication:3388510
DOI10.1137/19M1302314zbMath1467.35174arXiv1911.09557OpenAlexW3154343376MaRDI QIDQ3388510
Huyuan Chen, Gilles Evéquoz, Tobias Weth
Publication date: 5 May 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.09557
NLS equations (nonlinear Schrödinger equations) (35Q55) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (5)
Inverse medium scattering for a nonlinear Helmholtz equation ⋮ A radiation and propagation problem for a Helmholtz equation with a compactly supported nonlinearity ⋮ On isolated singular solutions of semilinear Helmholtz equation ⋮ Dual variational methods for a nonlinear Helmholtz equation with sign-changing nonlinearity ⋮ Representation formulae for nonhomogeneous differential operators and applications to PDEs
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