Type II Blow Up Solutions with Optimal Stability Properties for the Critical Focussing Nonlinear Wave Equation on ℝ³⁺¹
From MaRDI portal
Publication:5097138
DOI10.1090/memo/1369OpenAlexW4281293956MaRDI QIDQ5097138
Joachim Krieger, Stefano Burzio
Publication date: 19 August 2022
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.06408
Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items (3)
On the stability of blowup solutions for the critical corotational wave-map problem ⋮ Strichartz estimates and blowup stability for energy critical nonlinear wave equations ⋮ Construction of blow-up manifolds to the equivariant self-dual Chern-Simons-Schrödinger equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On blowup in supercritical wave equations
- Nonscattering solutions and blowup at infinity for the critical wave equation
- Exotic blowup solutions for the \(u^5\) focusing wave equation in \(\mathbb{R}^{3}\)
- A construction of blow up solutions for co-rotational wave maps
- Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation
- Invariant manifolds and dispersive Hamiltonian evolution equations
- Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems
- Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case
- Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption
- Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
- Dynamic of threshold solutions for energy-critical NLS
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Spectral theory and nonlinear partial differential equations: a survey
- Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation
- Renormalization and blow up for the critical Yang-Mills problem
- Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
- Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
- Linearization near an integral manifold
- Saddle points and instability of nonlinear hyperbolic equations
- Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
- Best constant in Sobolev inequality
- Stable blowup for the cubic wave equation in higher dimensions
- Profiles of bounded radial solutions of the focusing, energy-critical wave equation
- Global dynamics of the nonradial energy-critical wave equation above the ground state energy
- Scattering threshold for the focusing nonlinear Klein-Gordon equation
- Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation
- Center-stable manifold of the ground state in the energy space for the critical wave equation
- Infinite-time blow-up for the 3-dimensional energy-critical heat equation
- Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow
- Optimal polynomial blow up range for critical wave maps
- Instability of steady states for nonlinear wave and heat equations
- Global dynamics above the ground state energy for the cubic NLS equation in 3D
- Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation
- Classification of the radial solutions of the focusing, energy-critical wave equation
- Threshold phenomenon for the quintic wave equation in three dimensions
- Full range of blow up exponents for the quintic wave equation in three dimensions
- Renormalization and blow up for charge one equivariant critical wave maps
- On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations
- Global dynamics away from the ground state for the energy-critical nonlinear wave equation
- The instability of Bourgain-Wang solutions for the <i>L</i><sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> critical NLS
- On Type I Blow-Up Formation for the Critical NLW
- Nondispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in $\mathbb {R}^3$
- Blow up for the critical gKdV equation III: exotic regimes
- On stable self-similar blowup for equivariant wave maps
- Dynamics near explicit stationary solutions in similarity variables for solutions of a semilinear wave equation in higher dimensions
- Dynamics of Threshold Solutions for Energy-Critical Wave Equation
- High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
- On blowup for semilinear wave equations with a focusing nonlinearity
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Stable Blowup Dynamics for the 1‐Corotational Energy Critical Harmonic Heat Flow
- On stability of type II blow up for the critical nonlinear wave equation on ℝ³⁺¹
- On the focusing critical semi-linear wave equation
- Stable blow up dynamics for energy supercritical wave equations
This page was built for publication: Type II Blow Up Solutions with Optimal Stability Properties for the Critical Focussing Nonlinear Wave Equation on ℝ³⁺¹
