Hidden regularity for semilinear hyperbolic partial differential equations
Homeomorphisms and Fredholm theory for perturbations of nonlinear Fredholm maps of index zero with applications.
Homogenization and uniform stabilization for a nonlinear hyperbolic equation in domains with holes of small capacity.
Hyperbolic Equations in Uniform Spaces
The paper is devoted to the Cauchy problem for a semilinear damped wave equation in the whole of ℝ ⁿ. Under suitable assumptions a bounded dissipative semigroup of global solutions is constructed in a locally uniform space . Asymptotic compactness of this semigroup and the existence of a global attractor are then shown.
Hysteresis and Periodic Solutions of Semilinear and Quasilinear Wave Equations.