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6 Wave equation with logarithmic nonlinearities in Kirchhoff type

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Distributional Nonlinear Wave Equations
This chapter is in the book Distributional Nonlinear Wave Equations
© 2025 Walter de Gruyter GmbH, Berlin/Boston

© 2025 Walter de Gruyter GmbH, Berlin/Boston

Chapters in this book

  1. Frontmatter I
  2. Preface V
  3. Contents VII
  4. 1 Introduction 1
  5. 2 Semilinear dissipative wave equations in ℝn 29
  6. 3 Viscoelastic wave equation in ℝn 48
  7. 4 Nonlinear viscoelastic wave equations in weighted spaces 71
  8. 5 Wave equation of Kirchhoff type with density 103
  9. 6 Wave equation with logarithmic nonlinearities in Kirchhoff type 130
  10. 7 Petrowsky–Petrowsky system in ℝn 147
  11. 8 System of three wave equations 161
  12. 9 Damped wave problems with memory term in Fourier spaces 207
  13. 10 Degenerate evolution equations in ℝn 230
  14. 11 Structural damped wave equations with nonlinear memory terms 245
  15. Bibliography 287
  16. Index 289
https://doi.org/10.1515/9783111633787-006

Chapters in this book

  1. Frontmatter I
  2. Preface V
  3. Contents VII
  4. 1 Introduction 1
  5. 2 Semilinear dissipative wave equations in ℝn 29
  6. 3 Viscoelastic wave equation in ℝn 48
  7. 4 Nonlinear viscoelastic wave equations in weighted spaces 71
  8. 5 Wave equation of Kirchhoff type with density 103
  9. 6 Wave equation with logarithmic nonlinearities in Kirchhoff type 130
  10. 7 Petrowsky–Petrowsky system in ℝn 147
  11. 8 System of three wave equations 161
  12. 9 Damped wave problems with memory term in Fourier spaces 207
  13. 10 Degenerate evolution equations in ℝn 230
  14. 11 Structural damped wave equations with nonlinear memory terms 245
  15. Bibliography 287
  16. Index 289
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