Research Activity

Partial Differential Equations and Nonlinear Functional Analysis

• Parabolic equations
• Reaction-diffusion systems
• Equations of mathematical biology
• Spectral analysis
• Nonlinear semigroups of operators

Control Theory

• Optimal control of parabolic and hyperbolic equations
• Controllability and stabilizability for reaction-diffusion systems
• The control of parabolic systems with Radon measures as initial data and control
• Shape optimization
• H-infinity control problems

Research grants:

• Director of the Exploratory research project ID 381 (2007-2010):
  "Optimal control and stabilization of the continuous models of population dynamics"
  www.math.uaic.ro/~idei
• Director of the Romanian team of the Bilateral italo-romanian project (with Universita degli Studi di Milano): "Reaction-diffusion equations, theory, numerical methods and related optimal control problems", Executive Programme of Scientific And Technological Cooperation Between Italy And Romania (2006-2008)

Research team:

• Member of the Excellency Research Center: "Mathematical Analysis and Applications" (director: Acad. V. Barbu).