Weak formulation for nonlinear hyperbolic Stefan problems.
Weak solutions for a viscous -Laplacian equation.
Weak solutions to a nonlinear variational wave equation with general data
Weakly hyperbolic equations with time degeneracy in Sobolev spaces.
Well posedness and control of semilinear wave equations with iterated logarithms
Well posedness and control of semilinear wave equations with iterated logarithms
Motivated by a classical work of Erdős we give rather precise necessary and sufficient growth conditions on the nonlinearity in a semilinear wave equation in order to have global existence for all initial data. Then we improve some former exact controllability theorems of Imanuvilov and Zuazua.