On Blowup in Supercritical Wave Equations

Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schrödinger equations

(2015) Thomas Duyckaerts et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Dynamics near explicit stationary solutions in similarity variables for solutions of a semilinear wave equation in higher dimensions

(2015) Frank Merle et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Threshold Phenomenon for the Quintic Wave Equation in Three Dimensions

(2014) Joachim Krieger et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

On the Stability of the Notion of Non-Characteristic Point and Blow-Up Profile for Semilinear Wave Equations

(2014) Frank Merle et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Stable self-similar blowup in energy supercritical Yang–Mills theory

(2014) Roland Donninger   MATHEMATISCHE ZEITSCHRIFT

Exotic blowup solutions for the u5 focusing wave equation in ℝ3

(2014) Roland Donninger et al.   MICHIGAN MATHEMATICAL JOURNAL

The radial defocusing energy-supercritical cubic nonlinear wave equation in $\mathbb{R}^\sf 1}+{\sf 5$

(2014) Aynur Bulut   NONLINEARITY

Nondispersive decay for the cubic wave equation

(2014) Roland Donninger et al.   Analysis & PDE

On Type I Blow-Up Formation for the Critical NLW

(2013) Joachim Krieger et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Stable self-similar blow up for energy subcritical wave equations

(2013) Roland Donninger et al.   Dynamics of Partial Differential Equations

Full range of blow up exponents for the quintic wave equation in three dimensions

(2013) Joachim Krieger et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Nonscattering solutions and blowup at infinity for the critical wave equation

(2013) Roland Donninger et al.   MATHEMATISCHE ANNALEN

Blowup behaviour for the nonlinear Klein–Gordon equation

(2013) Rowan Killip et al.   MATHEMATISCHE ANNALEN

Stable blow up dynamics for energy supercritical wave equations

(2013) Roland Donninger et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Isolatedness of characteristic points at blowup for a 1-dimensional semilinear wave equation

(2012) Frank Merle et al.   DUKE MATHEMATICAL JOURNAL

Profiles of bounded radial solutions of the focusing, energy-critical wave equation

(2012) Thomas Duyckaerts et al.   GEOMETRIC AND FUNCTIONAL ANALYSIS

Global well-posedness and scattering for the defocusing energy-supercritical cubic nonlinear wave equation

(2012) Aynur Bulut   JOURNAL OF FUNCTIONAL ANALYSIS

Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case

(2012) Thomas Duyckaerts et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation

(2012) Matthieu Hillairet et al.   Analysis & PDE

On Stable Self-Similar Blow up for Equivariant Wave Maps: The Linearized Problem

(2011) Roland Donninger et al.   ANNALES HENRI POINCARE

On stable self-similar blowup for equivariant wave maps

(2011) Roland Donninger   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Radial solutions to energy supercritical wave equations in odd dimensions

(2011) Frank Merle et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation

(2011) Thomas Duyckaerts et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

The defocusing energy-supercritical nonlinear wave equation in three space dimensions

(2011) Rowan Killip et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions

(2010) Rowan Killip et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Slow blow-up solutions for the $H^1({\mathbb R}^3)$ critical focusing semilinear wave equation

(2009) Joachim Krieger et al.   DUKE MATHEMATICAL JOURNAL

Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

(2008) Carlos E. Kenig et al.   ACTA MATHEMATICA

Openness of the Set of Non-characteristic Points and Regularity of the Blow-up Curve for the 1 D Semilinear Wave Equation

(2008) Frank Merle et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS