Existence and Asymptotics of Nonlinear Helmholtz Eigenfunctions
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Publication:5141937
DOI10.1137/19M1307238zbMath1455.35163arXiv1908.04890OpenAlexW3112663095MaRDI QIDQ5141937
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Publication date: 29 December 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.04890
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Semilinear elliptic equations (35J61)
Related Items (2)
Regularity of the scattering matrix for nonlinear Helmholtz eigenfunctions ⋮ Complex Solutions and Stationary Scattering for the Nonlinear Helmholtz Equation
Cites Work
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- Bounded solutions to the Allen-Cahn equation with level sets of any compact topology
- Restriction and spectral multiplier theorems on asymptotically conic manifolds
- Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)
- Upper bound on the density of Ruelle resonances for Anosov flows
- Oscillating solutions for nonlinear Helmholtz equations
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Nonlinear scalar field equations. I: Existence of a ground state
- Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes
- Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
- Absence of singular continuous spectrum for certain self-adjoint operators
- Operatori pseudo-differenziali in R\(^n\) e applicazioni
- Spectral and scattering theory for symbolic potentials of order zero.
- Non trivial \(L^q\) solutions to the Ginzburg-Landau equation
- The global non-linear stability of the Kerr-de Sitter family of black holes
- On the absence of positive eigenvalues for one-body Schrödinger operators
- Scattering metrics and geodesic flow at infinity
- Dual variational methods and nonvanishing for the nonlinear Helmholtz equation
- On the existence and the regularity of solutions of linear pseudo- differential equations
- Propagation of Singularities Around a Lagrangian Submanifold of Radial Points
- Higher dimensional vortex standing waves for nonlinear Schrödinger equations
- Global Analysis of Quasilinear Wave Equations on Asymptotically Kerr-de Sitter Spaces
- On the Helmholtz equation and Dancer’s-type entire solutions for nonlinear elliptic equations
- Uniform Sobolev estimates for non-trapping metrics
- A Minicourse on Microlocal Analysis for Wave Propagation
- Existence and stability of solitons for the nonlinear Schrödinger equation on hyperbolic space
- The Feynman propagator on perturbations of Minkowski space
- A restriction theorem for the Fourier transform
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