Distributional Nonlinear Wave Equations: Well-Posedness and Stabilizability
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 acco...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2025]
|
| Schriftenreihe: | De Gruyter Series in Nonlinear Analysis and Applications
45 |
| Schlagworte: | |
| Online-Zugang: | DE-1046 DE-1043 DE-858 DE-859 DE-860 DE-739 URL des Erstveröffentlichers |
| Zusammenfassung: | 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 |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Jan 2025) |
| Beschreibung: | 1 Online-Ressource (X, 292 Seiten) |
| ISBN: | 9783111633787 |
| DOI: | 10.1515/9783111633787 |
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| 490 | 0 | |a De Gruyter Series in Nonlinear Analysis and Applications |v 45 | |
| 500 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Jan 2025) | ||
| 520 | |a 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 | ||
| 546 | |a In English | ||
| 650 | 4 | |a Dynamische Gleichungen | |
| 650 | 4 | |a Evolutionäre partielle Differentialgleichungen | |
| 650 | 4 | |a Probleme mit nichtlinearen Wellen | |
| 650 | 4 | |a Stabilisierbarkeit | |
| 650 | 4 | |a Wohlgeformtheit | |
| 650 | 7 | |a MATHEMATICS / Differential Equations / Partial |2 bisacsh | |
| 700 | 1 | |a Georgiev, Svetlin G. |e Sonstige |4 oth | |
| 700 | 1 | |a Georgiev, Svetlin G. |e Sonstige |4 oth | |
| 700 | 1 | |a Zennir, Khaled |e Sonstige |4 oth | |
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| isbn | 9783111633787 |
| language | English |
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| spelling | Zennir, Khaled Verfasser aut Distributional Nonlinear Wave Equations Well-Posedness and Stabilizability Khaled Zennir, Svetlin G. Georgiev Berlin ; Boston De Gruyter [2025] 2025 1 Online-Ressource (X, 292 Seiten) txt rdacontent c rdamedia cr rdacarrier De Gruyter Series in Nonlinear Analysis and Applications 45 Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Jan 2025) 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 In English Dynamische Gleichungen Evolutionäre partielle Differentialgleichungen Probleme mit nichtlinearen Wellen Stabilisierbarkeit Wohlgeformtheit MATHEMATICS / Differential Equations / Partial bisacsh Georgiev, Svetlin G. Sonstige oth Zennir, Khaled Sonstige oth Erscheint auch als Druck-Ausgabe 9783111633688 https://doi.org/10.1515/9783111633787?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Zennir, Khaled Distributional Nonlinear Wave Equations Well-Posedness and Stabilizability Dynamische Gleichungen Evolutionäre partielle Differentialgleichungen Probleme mit nichtlinearen Wellen Stabilisierbarkeit Wohlgeformtheit MATHEMATICS / Differential Equations / Partial bisacsh |
| title | Distributional Nonlinear Wave Equations Well-Posedness and Stabilizability |
| title_auth | Distributional Nonlinear Wave Equations Well-Posedness and Stabilizability |
| title_exact_search | Distributional Nonlinear Wave Equations Well-Posedness and Stabilizability |
| title_full | Distributional Nonlinear Wave Equations Well-Posedness and Stabilizability Khaled Zennir, Svetlin G. Georgiev |
| title_fullStr | Distributional Nonlinear Wave Equations Well-Posedness and Stabilizability Khaled Zennir, Svetlin G. Georgiev |
| title_full_unstemmed | Distributional Nonlinear Wave Equations Well-Posedness and Stabilizability Khaled Zennir, Svetlin G. Georgiev |
| title_short | Distributional Nonlinear Wave Equations |
| title_sort | distributional nonlinear wave equations well posedness and stabilizability |
| title_sub | Well-Posedness and Stabilizability |
| topic | Dynamische Gleichungen Evolutionäre partielle Differentialgleichungen Probleme mit nichtlinearen Wellen Stabilisierbarkeit Wohlgeformtheit MATHEMATICS / Differential Equations / Partial bisacsh |
| topic_facet | Dynamische Gleichungen Evolutionäre partielle Differentialgleichungen Probleme mit nichtlinearen Wellen Stabilisierbarkeit Wohlgeformtheit MATHEMATICS / Differential Equations / Partial |
| url | https://doi.org/10.1515/9783111633787?locatt=mode:legacy |
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