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2 Preliminary concepts

  • Tomasz W. Dłotko and Yejuan Wang
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Critical Parabolic-Type Problems
This chapter is in the book Critical Parabolic-Type Problems
© 2021 Walter de Gruyter GmbH, Berlin/Boston

© 2021 Walter de Gruyter GmbH, Berlin/Boston

Chapters in this book

  1. Frontmatter I
  2. Acknowledgment VII
  3. Contents IX
  4. 1 Introduction 1
  5. 2 Preliminary concepts 11
  6. 3 Solvability of the abstract Cauchy problem 69
  7. 4 Global in time continuation of solutions 87
  8. 5 Definitions, properties, estimates, and inequalities 99
  9. 6 Navier–Stokes equation in 2D and 3D 141
  10. 7 N-D Navier–Stokes equation, an extended discussion 159
  11. 8 Cauchy’s problem for 2-D quasi-geostrophic equation 181
  12. 9 Dirichlet’s problem for critical 2D quasi-geostrophic equation 207
  13. 10 Dirichlet’s problem for critical Hamilton–Jacobi fractional equation 231
  14. 11 Fractional reaction-diffusion equation 255
  15. Bibliography 279
  16. Index 287
  17. Erratum to: Chapter 5 Definitions, properties, estimates, and inequalities 289
  18. Erratum to: Chapter 9 Dirichlet’s problem for critical 2D quasi-geostrophic equation 291
  19. Erratum to: Chapter 10 Dirichlet’s problem for critical Hamilton-Jacobi fractional equation 297
https://doi.org/10.1515/9783110599831-003

Chapters in this book

  1. Frontmatter I
  2. Acknowledgment VII
  3. Contents IX
  4. 1 Introduction 1
  5. 2 Preliminary concepts 11
  6. 3 Solvability of the abstract Cauchy problem 69
  7. 4 Global in time continuation of solutions 87
  8. 5 Definitions, properties, estimates, and inequalities 99
  9. 6 Navier–Stokes equation in 2D and 3D 141
  10. 7 N-D Navier–Stokes equation, an extended discussion 159
  11. 8 Cauchy’s problem for 2-D quasi-geostrophic equation 181
  12. 9 Dirichlet’s problem for critical 2D quasi-geostrophic equation 207
  13. 10 Dirichlet’s problem for critical Hamilton–Jacobi fractional equation 231
  14. 11 Fractional reaction-diffusion equation 255
  15. Bibliography 279
  16. Index 287
  17. Erratum to: Chapter 5 Definitions, properties, estimates, and inequalities 289
  18. Erratum to: Chapter 9 Dirichlet’s problem for critical 2D quasi-geostrophic equation 291
  19. Erratum to: Chapter 10 Dirichlet’s problem for critical Hamilton-Jacobi fractional equation 297
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