Distributional nonlinear wave equations : well-posedness and stabilizability / Khaled Zennir and Svetlin G. Georgiev.

Format:

Book

Author/Creator:

Zennir, Khaled, author.

Georgiev, Svetlin, author.

Series:

De Gruyter series in nonlinear analysis and applications ; Volume 45.

De Gruyter Series in Nonlinear Analysis and Applications Series ; Volume 45

Language:

English

Subjects (All):

Differential equations.

Physical Description:

1 online resource (302 pages)

Edition:

First edition.

Place of Publication:

Berlin, Germany : Walter de Gruyter, [2025]

Summary:

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.

Contents:

Intro

Preface

Contents

1 Introduction

2 Semilinear dissipative wave equations in ℝ&lt

sup&gt

n&lt

/sup&gt

3 Viscoelastic wave equation in ℝ&lt

4 Nonlinear viscoelastic wave equations in weighted spaces

5 Wave equation of Kirchhoff type with density

6 Wave equation with logarithmic nonlinearities in Kirchhoff type

7 Petrowsky-Petrowsky system in ℝ&lt

8 System of three wave equations

9 Damped wave problems with memory term in Fourier spaces

10 Degenerate evolution equations in ℝ&lt

11 Structural damped wave equations with nonlinear memory terms

Bibliography

Index.

Notes:

Includes bibliographical references and index.

Description based on publisher supplied metadata and other sources.

Description based on print version record.

ISBN:

9783111633787

3111633780

OCLC:

1485006443