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.
General
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