
Distributional Nonlinear Wave Equations
Well-Posedness and Stabilizability
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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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Table of contents
- Title Page
- Copyright
- Contents
- 1âIntroduction
- 2âSemilinear dissipative wave equations in ân
- 3âViscoelastic wave equation in ân
- 4âNonlinear viscoelastic wave equations in weighted spaces
- 5âWave equation of Kirchhoff type with density
- 6âWave equation with logarithmic nonlinearities in Kirchhoff type
- 7âPetrowskyâPetrowsky system in ân
- 8âSystem of three wave equations
- 9âDamped wave problems with memory term in Fourier spaces
- 10âDegenerate evolution equations in ân
- 11âStructural damped wave equations with nonlinear memory terms
- Subject Index