Generation of analytic semigroups by elliptic operators of second order in Hölder spaces
Generation of analytic semi-groups in L2 for a class of second order degenerate elliptic operators
Generators for quasi-free completely positive semi-groups
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 and nonexistence for semiliniear parabolic systems with nonlinear boundary conditions.
Global existence for a Riccati equation arising in a boundary control problem for distributed parameters
Si prova resistenza globale della soluzione di una equazione di Riccati collegata alla sintesi di un problema di controllo ottimale. Il problema considerato rappresenta la versione astratta di alcuni problemi governati da equazioni paraboliche con il controllo sulla frontiera.
Groups of Isometries on Certain Ideals of Hubert Space Operators.
Gruppen und Halbgruppen verallgemeinerter Skalaroperatoren.