Multi-travelling waves for the nonlinear Klein-Gordon equation
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Publication:4580364
DOI10.1090/tran/7303zbMath1403.35260arXiv1612.02625OpenAlexW2588627088MaRDI QIDQ4580364
Publication date: 15 August 2018
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.02625
PDEs in connection with quantum mechanics (35Q40) Soliton equations (35Q51) Perturbations in context of PDEs (35B20) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
- Unnamed Item
- Unnamed Item
- Construction of multi-solitons for the energy-critical wave equation in dimension 5
- Multi-existence of multi-solitons for the supercritical nonlinear Schrödinger equation in one dimension
- Global dynamics above the ground state energy for the one-dimensional NLKG equation
- Construction of multi-soliton solutions for the \(L^2\)-supercritical gKdV and NLS equations
- Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation
- Invariant manifolds and dispersive Hamiltonian evolution equations
- Large energy entire solutions for the Yamabe equation
- Stability of two soliton collision for nonintegrable gKdV equations
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Nonlinear scalar field equations. I: Existence of a ground state
- The global Cauchy problem for the nonlinear Klein-Gordon equation
- Dynamic of threshold solutions for energy-critical NLS
- Multi solitary waves for nonlinear Schrödinger equations
- Solutions without any symmetry for semilinear elliptic problems
- Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
- Stability theory of solitary waves in the presence of symmetry. II
- Instability of nonlinear bound states
- On a conformally invariant elliptic equation on \(R^ n\)
- Asymptotic analysis of soliton problems. An inverse scattering approach
- Stability theory of solitary waves in the presence of symmetry. I
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Symmetry and related properties via the maximum principle
- Existence and multiplicity of nodal solutions for nonlinear elliptic equations with critical Sobolev growth
- Existence of nonstationary bubbles in higher dimensions.
- The Cauchy problem for nonlinear Klein-Gordon equations in the Sobolev spaces
- High-speed excited multi-solitons in nonlinear Schrödinger equations
- Soliton resolution along a sequence of times for the focusing energy critical wave equation
- Classification of the radial solutions of the focusing, energy-critical wave equation
- Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations
- Uniqueness of ground states for quasilinear elliptic equations
- Construction of a Multisoliton Blowup Solution to the Semilinear Wave Equation in One Space Dimension
- Multi-solitons for nonlinear Klein–Gordon equations
- Existence and classification of characteristic points at blow-up for a semilinear wave equation in one space dimension
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Multi-Soliton Solutions for the Supercritical gKdV Equations
- Uniqueness of Positive Radial Solutions of Δu + f(u) = 0 in ℝ n , II
- Two-soliton solutions to the three-dimensional gravitational Hartree equation
- Dynamics of Threshold Solutions for Energy-Critical Wave Equation
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- The Korteweg–deVries Equation: A Survey of Results
- Elliptic Partial Differential Equations of Second Order
- Low regularity semi—linear wave equations1
- Eigenvalues, and instabilities of solitary waves
- Torus action on S^n and sign changing solutions for conformally invariant equations
- Multi-solitons and Related Solutions for the Water-waves System
- Asymptotic N -soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations
