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

Blow-up behavior for the Klein–Gordon and other perturbed semilinear wave equations

(2013) M.A. Hamza et al.   BULLETIN DES SCIENCES MATHEMATIQUES

Construction of a Multisoliton Blowup Solution to the Semilinear Wave Equation in One Space Dimension

(2013) Raphaël Côte et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Blow-up results for semilinear wave equations in the superconformal case

(2013) Mohamed-Ali Hamza et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Stable self-similar blow up for energy subcritical wave equations

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

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

LYAPUNOV FUNCTIONAL AND BLOW-UP RESULTS FOR A CLASS OF PERTURBATIONS OF SEMILINEAR WAVE EQUATIONS IN THE CRITICAL CASE

(2012) MOHAMED ALI HAMZA et al.   Journal of Hyperbolic Differential Equations

A Lyapunov functional and blow-up results for a class of perturbed semilinear wave equations

(2012) M A Hamza et al.   NONLINEARITY

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

(2012) Matthieu Hillairet et al.   Analysis & PDE

Blow-up behavior outside the origin for a semilinear wave equation in the radial case

(2011) Frank Merle et al.   BULLETIN DES SCIENCES MATHEMATIQUES

On Pointwise Decay of Linear Waves on a Schwarzschild Black Hole Background

(2011) Roland Donninger et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Threshold and generic type I behaviors for a supercritical nonlinear heat equation

(2011) Hiroshi Matano et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Self-similar solutions of the cubic wave equation

(2010) P Bizoń et al.   NONLINEARITY

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

Universality of global dynamics for the cubic wave equation

(2009) Piotr Bizoń et al.   NONLINEARITY

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

Classification of type I and type II behaviors for a supercritical nonlinear heat equation

(2008) Hiroshi Matano et al.   JOURNAL OF FUNCTIONAL ANALYSIS