Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy
This paper is concerned with the blow-up of certain solutions with positive initial energy to the following quasilinear wave equation: utt−MNutΔp·u+gut=fu. This work generalizes the blow-up result of solutions with negative initial energy.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5592918 |
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| _version_ | 1850157586492424192 |
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| author | Loay Alkhalifa Hanni Dridi Khaled Zennir |
| author_facet | Loay Alkhalifa Hanni Dridi Khaled Zennir |
| author_sort | Loay Alkhalifa |
| collection | DOAJ |
| description | This paper is concerned with the blow-up of certain solutions with positive initial energy to the following quasilinear wave equation: utt−MNutΔp·u+gut=fu. This work generalizes the blow-up result of solutions with negative initial energy. |
| format | Article |
| id | doaj-art-3473e91b392244da82b6475897bf6313 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3473e91b392244da82b6475897bf63132025-08-20T02:24:07ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55929185592918Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial EnergyLoay Alkhalifa0Hanni Dridi1Khaled Zennir2Department of Mathematics, College of Sciences and Arts, Qassim University, Ar Rass, Saudi ArabiaLaboratory of Applied Mathematics, Badji Mokhtar University, P.O. Box 12, 23000 Annaba, AlgeriaDepartment of Mathematics, College of Sciences and Arts, Qassim University, Ar Rass, Saudi ArabiaThis paper is concerned with the blow-up of certain solutions with positive initial energy to the following quasilinear wave equation: utt−MNutΔp·u+gut=fu. This work generalizes the blow-up result of solutions with negative initial energy.http://dx.doi.org/10.1155/2021/5592918 |
| spellingShingle | Loay Alkhalifa Hanni Dridi Khaled Zennir Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy Journal of Function Spaces |
| title | Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy |
| title_full | Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy |
| title_fullStr | Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy |
| title_full_unstemmed | Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy |
| title_short | Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy |
| title_sort | blow up of certain solutions to nonlinear wave equations in the kirchhoff type equation with variable exponents and positive initial energy |
| url | http://dx.doi.org/10.1155/2021/5592918 |
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