General system of strongly pseudomonotone nonlinear variational inequalities based on projection systems.
General viscosity approximation methods for common fixed points of nonexpansive semigroups in Hilbert spaces.
Generalized dissipativeness in a Banach space.
Générateur des semi-groupes non linéaires et la formule de Lie-Trotter
Generation of nonlinear semigroups by a partial differential equation.
Generation theory for semigroups of holomorphic mappings in Banach spaces.
Global Existence and Boundedness of Solutions to a Model of Chemotaxis
A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists of a system of nonlinear partial differential equations for the spatial population density of a species and the spatial concentration of a chemoattractant in n-dimensional space. We prove the existence of solutions, which exist globally, and are L∞-bounded on finite time intervals. The hypotheses require nonlocal conditions on the species-induced production of the chemoattractant.
Global existence for the Hamilton-Jacobi equations in Hilbert space
Global existence, uniqueness, and continuous dependence for a reaction-diffusion equation with memory.
Gradient systems of closed operators
A classical result on the existence of global attractors for gradient systems is extended to the case of a semigroup S(t) lacking strong continuity, but satisfying the weaker property of being a closed map for every fixed t ≥ 0.
Green ' s ....-relation for generalized polynomials.