Description

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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.

About the Author

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Tomasz W. Dlotko, University of Silesia in Katowice, Poland; Yejuan Wang, Lanzhou University, P. R. China.