Construction of multi-solitons for the energy-critical wave equation in dimension 5
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Publication:338106
DOI10.1007/s00205-016-1018-7zbMath1359.35166arXiv1504.01595OpenAlexW2242926117MaRDI QIDQ338106
Publication date: 4 November 2016
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.01595
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Cites Work
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- Construction of two-bubble solutions for some energy-critical wave equations
- Construction of multi-soliton solutions for the \(L^2\)-supercritical gKdV and NLS equations
- Description of two soliton collision for the quartic gKdV equation
- Large energy entire solutions for the Yamabe equation
- Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
- Nonlinear small data scattering for the wave and Klein-Gordon equation
- Dynamic of threshold solutions for energy-critical NLS
- Orbital stability of double solitons for the Benjamin-Ono equation
- Multi solitary waves for nonlinear Schrödinger equations
- Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
- On a conformally invariant elliptic equation on \(R^ n\)
- The global Cauchy problem for the critical nonlinear wave equation
- Stability and asymptotic stability for subcritical gKdV equations
- On existence and scattering with minimal regularity for semilinear wave equations
- Global and unique weak solutions of nonlinear wave equations
- Global dynamics of the nonradial energy-critical wave equation above the ground state energy
- Soliton resolution along a sequence of times for the focusing energy critical wave equation
- Inelastic interaction of nearly equal solitons for the quartic gKdV equation
- Classification of the radial solutions of the focusing, energy-critical wave equation
- Asymptotic stability of solitons for the Benjamin-Ono equation
- Solutions of the focusing nonradial critical wave equation with the compactness property
- Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions
- Global dynamics away from the ground state for the energy-critical nonlinear wave equation
- Multi-solitons for nonlinear Klein–Gordon equations
- Multi-Solitary Waves for the Nonlinear Klein-Gordon Equation
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Multi-Soliton Solutions for the Supercritical gKdV Equations
- Two-soliton solutions to the three-dimensional gravitational Hartree equation
- The Lyapunov stability of the N-soliton solutions in the Lax hierarchy of the Benjamin-Ono equation
- Dynamics of Threshold Solutions for Energy-Critical Wave Equation
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- The Korteweg–deVries Equation: A Survey of Results
- Torus action on S^n and sign changing solutions for conformally invariant equations
- On the Nonexistence of Pure Multi-solitons for the Quartic gKdV Equation
- 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
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