Distributional Nonlinear Wave Equations
eBook - ePub

Distributional Nonlinear Wave Equations

Well-Posedness and Stabilizability

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Distributional Nonlinear Wave Equations

Well-Posedness and Stabilizability

About this book

The book contains eleven chapters introduced by an introductory description. Qualitative properties for the semilinear dissipative wave equations are discussed in Chapter 2 and Chapter 3 based on the solutions with compactly supported initial data. The purpose of Chapter 4 is to present results according to the well-possednes and behavior f solutions the nonlinear viscoelastic wave equations in weighted spaces. Elements of theory of Kirchhoff problem is introduced in Chapter 5. It is introduced same decay rate of second order evolution equations with density. Chapter 6 is devoted on the original method for Well posedness and general decay for wave equation with logarithmic nonlinearities. In Chapter 7, it is investigated the uniform stabilization of the Petrovsky-Wave nonlinear coupled system. The question of well-posedness and general energy decay of solutions for a system of three wave equations with a nonlinear strong dissipation are investigated in chapter 8 using the weighied. In sofar as Chapter 9 and chapter 10 are concerned with damped nonlinear wave problems in Fourier spaces. The last Chapter 11 analysis the existence/ nonexistence of solutions for structural damped wave equations with nonlinear memory terms in Rn.

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Yes, you can access Distributional Nonlinear Wave Equations by Khaled Zennir,Svetlin G. Georgiev in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2025
eBook ISBN
9783111634036
Edition
0

Table of contents

  1. Title Page
  2. Copyright
  3. Contents
  4. 1 Introduction
  5. 2 Semilinear dissipative wave equations in ℝn
  6. 3 Viscoelastic wave equation in ℝn
  7. 4 Nonlinear viscoelastic wave equations in weighted spaces
  8. 5 Wave equation of Kirchhoff type with density
  9. 6 Wave equation with logarithmic nonlinearities in Kirchhoff type
  10. 7 Petrowsky–Petrowsky system in ℝn
  11. 8 System of three wave equations
  12. 9 Damped wave problems with memory term in Fourier spaces
  13. 10 Degenerate evolution equations in ℝn
  14. 11 Structural damped wave equations with nonlinear memory terms
  15. Subject Index