Critical Parabolic-Type Problems / / Tomasz W. Dłotko, Yejuan Wang.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2020
• VerfasserIn: Dłotko, Tomasz W.,; Wang, Yejuan,
• MitwirkendeR: Dłotko, Tomasz W.,; Wang, Yejuan,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2020]; ©2020
• Year of Publication: 2020
• Language: English
• Series: De Gruyter Series in Nonlinear Analysis and Applications , 34
• Physical Description: 1 online resource (XII, 288 p.)
• Other title: Frontmatter --; Acknowledgment --; Contents --; 1 Introduction --; 2 Preliminary concepts --; 3 Solvability of the abstract Cauchy problem --; 4 Global in time continuation of solutions --; 5 Definitions, properties, estimates, and inequalities --; 6 Navier–Stokes equation in 2D and 3D --; 7 N-D Navier–Stokes equation, an extended discussion --; 8 Cauchy’s problem for 2-D quasi-geostrophic equation --; 9 Dirichlet’s problem for critical 2D quasi-geostrophic equation --; 10 Dirichlet’s problem for critical Hamilton–Jacobi fractional equation --; 11 Fractional reaction-diffusion equation --; Bibliography --; Index --; Erratum to: Chapter 5 Definitions, properties, estimates, and inequalities --; Erratum to: Chapter 9 Dirichlet’s problem for critical 2D quasi-geostrophic equation --; Erratum to: Chapter 10 Dirichlet’s problem for critical Hamilton-Jacobi fractional equation
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110599831; 9783110696288; 9783110696271; 9783110659061; 9783110704716; 9783110704518; 9783110704846; 9783110704662
• ISSN: 0941-813X
• DOI: 10.1515/9783110599831
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Tomasz W. Dłotko, Yejuan Wang.

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.