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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

Author Information

Tomasz W. Dłotko, University of Silesia in Katowice, Poland; Yejuan Wang, Lanzhou University, P. R. China.
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Audience: Researchers and graduate students in partial differential equations.