Critical Parabolic-Type Problems

This self-contained book covers the theory of semilinear equations with sectorial operator going back to the studies of Yosida, Henry, and Pazy, which are deeply extended nowadays. The treatment emphasizes existence-uniqueness theory as a topic of functional analysis and examines abstract evolutionary equations, with applications to the Navier-Stokes system, the quasi-geostrophic equation, and fractional reaction-diffusion equations.

• A self-contained book on parabolic problems with critical nonlinearities
• Includes applications to the Navier-Stokes equations, the quasi-geostrophic equation, and reaction-diffusion systems
• Of interest to researchers and graduate students alike