Improved least-squares error estimates for scalar hyperbolic problems.
Inéquations variationnelles d'évolution paraboliques du 2ème ordre
Inverse parabolic problems and discrete orthogonality.
Irregular boundary value problems for ordinary differential equations
Isolatedness of characteristic points at blow-up for a semilinear wave equation in one space dimension
We consider the semilinear wave equation with power nonlinearity in one space dimension. We first show the existence of a blow-up solution with a characteristic point. Then, we consider an arbitrary blow-up solution , the graph of its blow-up points and the set of all characteristic points and show that is locally finite. Finally, given , we show that in selfsimilar variables, the solution decomposes into a decoupled sum of (at least two) solitons, with alternate signs and that forms a...