Distributional Nonlinear Wave Equations

Distributional Nonlinear Wave Equations

  • Khaled Zennir
  • Svetlin G. Georgiev
Publisher:Walter de Gruyter GmbH & Co KGISBN 13: 9783111633787ISBN 10: 3111633780

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Distributional Nonlinear Wave Equations is written by Khaled Zennir and published by Walter de Gruyter GmbH & Co KG. It's available with International Standard Book Number or ISBN identification 3111633780 (ISBN 10) and 9783111633787 (ISBN 13).

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.