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Uniform continuity of the solution map for nonlinear wave equation in Reissner-Nordström metric.

Georgiev, S. (2007)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Uniform decay for a hyperbolic system with differential inclusion and nonlinear memory source term on the boundary

Jong Yeoul Park, Sun Hye Park (2009)

Czechoslovak Mathematical Journal

We prove the existence and uniform decay rates of global solutions for a hyperbolic system with a discontinuous and nonlinear multi-valued term and a nonlinear memory source term on the boundary.

Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation

Irena Lasiecka, Roberto Triggiani (2008)

Control and Cybernetics

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

Thomas Duyckaerts, Carlos E. Kenig, Frank Merle (2011)

Journal of the European Mathematical Society

Consider the energy-critical focusing wave equation on the Euclidian space. A blow-up type II solution of this equation is a solution which has finite time of existence but stays bounded in the energy space. The aim of this work is to exhibit universal properties of such solutions. Let $W$ be the unique radial positive stationary solution of the equation. Our main result is that in dimension 3, under an appropriate smallness assumption, any type II blow-up radial solution is essentially the sum of...

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

Thomas Duyckaerts, Carlos E. Kenig, Frank Merle (2012)