Critical Parabolic-Type Problems /

Critical Parabolic-Type Problems / / 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 evolutiona...

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Bibliographic Details
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
Online Access:
Physical Description:1 online resource (XII, 288 p.)
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Table of Contents:
  • 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

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