A blow up result in the Cauchy problem for a semi-linear accretive wave equation

Ch. Messikh
Ch. Messikh
Contact
Badji Mokhtar-Annaba University

Send Message

To: Author

A blow up result in the Cauchy problem for a semi-linear accretive wave equation

Article Fingerprint

ReserarchID

Q17S4

A blow up result in the Cauchy problem for a semi-linear accretive wave equation Banner

AI TAKEAWAY

Connecting with the Eternal Ground
Access Review Comments
  • English
  • Afrikaans
  • Albanian
  • Amharic
  • Arabic
  • Armenian
  • Azerbaijani
  • Basque
  • Belarusian
  • Bengali
  • Bosnian
  • Bulgarian
  • Catalan
  • Cebuano
  • Chichewa
  • Chinese (Simplified)
  • Chinese (Traditional)
  • Corsican
  • Croatian
  • Czech
  • Danish
  • Dutch
  • Esperanto
  • Estonian
  • Filipino
  • Finnish
  • French
  • Frisian
  • Galician
  • Georgian
  • German
  • Greek
  • Gujarati
  • Haitian Creole
  • Hausa
  • Hawaiian
  • Hebrew
  • Hindi
  • Hmong
  • Hungarian
  • Icelandic
  • Igbo
  • Indonesian
  • Irish
  • Italian
  • Japanese
  • Javanese
  • Kannada
  • Kazakh
  • Khmer
  • Korean
  • Kurdish (Kurmanji)
  • Kyrgyz
  • Lao
  • Latin
  • Latvian
  • Lithuanian
  • Luxembourgish
  • Macedonian
  • Malagasy
  • Malay
  • Malayalam
  • Maltese
  • Maori
  • Marathi
  • Mongolian
  • Myanmar (Burmese)
  • Nepali
  • Norwegian
  • Pashto
  • Persian
  • Polish
  • Portuguese
  • Punjabi
  • Romanian
  • Russian
  • Samoan
  • Scots Gaelic
  • Serbian
  • Sesotho
  • Shona
  • Sindhi
  • Sinhala
  • Slovak
  • Slovenian
  • Somali
  • Spanish
  • Sundanese
  • Swahili
  • Swedish
  • Tajik
  • Tamil
  • Telugu
  • Thai
  • Turkish
  • Ukrainian
  • Urdu
  • Uzbek
  • Vietnamese
  • Welsh
  • Xhosa
  • Yiddish
  • Yoruba
  • Zulu
Font Type
Font Size
Font Size
Bedground

Abstract

We investigate the blow up of the semi -linear wave equation given by u tt -Δu = |u t | p-1 u t , and prove that for a given time T>0, there exist always initial data with sufficiently negative initial energy for which the solution blows up in time ≤T.

References

13 Cites in Article
  1. S Alinhac (1995). Blowup for nonlinear hyperbolic equations.
  2. J Ball (1977). REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS.
  3. Vladimir Georgiev,Grozdena Todorova (1994). Existence of a solution of the wave equation with nonlinear damping and source terms.
  4. A Haraux,E Zuazua (1988). Decay estimates for some semilinear damped hyperbolic problems.
  5. Alain Haraux (1992). Almost Periodic Functions and the Abstract Wave Equation.
  6. M Jazar,R Kiwan (2007). Blow-up results for some second-order hyperbolic inequalities with a nonlinear term with respect to the velocity.
  7. V Kalantarov,O Ladyzhenskaya (1978). The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types.
  8. Frank Merle,Hatem Zaag (2003). Determination of the blow-up rate for the semilinear wave equation.
  9. S Messaoudi (2003). Blow up and global existence in a nonlinear viscoelastic wave equation.
  10. Ch,Messikh (2010). Nonexistence of Global solutions to a semi-linear accretive wave equation.
  11. Jaime Rivera,Luci Harue,Fatori (1997). Smoothing effect and propagations of singularities for viscoelastic plates.
  12. Borislav Yordanov,Qi Zhang (2006). Finite time blow up for critical wave equations in high dimensions.
  13. Blow Up Result In The Cauchy Problem For A Semi-Linear Accretive Wave Equation.
Show All References
Download References

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Ch. Messikh. 1970. \u201cA blow up result in the Cauchy problem for a semi-linear accretive wave equation\u201d. Unknown Journal GJSFR Volume 11 (GJSFR Volume 11 Issue 4).

More Citation Formats

Download Citation

  • Open Access
  • CC-BY-ND-NC 4.0
Download Article
Journal Specifications
Keywords
Not Found
  • Submission ReceivedApril 19, 2011
  • Peer Review Double Blind
    Handling Editor
  • Accepted May 10, 2011
  • Published May 24, 2011
Version of record

v1.2

Issue date
July 6, 2011

Language
en
Order Article Reprints
Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

View in VR
Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

View in 3D
Article Matrices
Total Views: 20759
Total Downloads: 10992
2026 Trends
Related Research
Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]

Request Access

Please fill out the form below to request access to this research paper. Your request will be reviewed by the editorial or author team.
X

Quote and Order Details

Contact Person

Invoice Address

Notes or Comments

This is the heading

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

High-quality academic research articles on global topics and journals.

A blow up result in the Cauchy problem for a semi-linear accretive wave equation

Ch. Messikh
Ch. Messikh <p>Badji Mokhtar-Annaba University</p>
  • Submission ReceivedApril 19, 2011
  • Peer Review Double Blind
    Handling Editor
  • Accepted May 10, 2011
  • Published May 24, 2011

Research Journals

Global Journal of Computer Science and Technology
Global Journal of Computer Science and Technology
Explore Journal
Global Journal of Computer Science and Technology - A: Hardware & Computation
Global Journal of Computer Science and Technology - A: Hardware & Computation
Explore Journal
Global Journal of Computer Science and Technology - B: Cloud & Distributed
Global Journal of Computer Science and Technology - B: Cloud & Distributed
Explore Journal
Global Journal of Computer Science and Technology - C: Software & Data Engineering
Global Journal of Computer Science and Technology - C: Software & Data Engineering
Explore Journal
Global Journal of Computer Science and Technology - D: Neural & AI
Global Journal of Computer Science and Technology - D: Neural & AI
Explore Journal
Global Journal of Computer Science and Technology - E: Network, Web & Security
Global Journal of Computer Science and Technology - E: Network, Web & Security
Explore Journal
Global Journal of Computer Science and Technology - F: Graphics & Vision
Global Journal of Computer Science and Technology - F: Graphics & Vision
Explore Journal
Global Journal of Computer Science and Technology - G: Interdisciplinary
Global Journal of Computer Science and Technology - G: Interdisciplinary
Explore Journal
Global Journal of Computer Science and Technology - H: Information & Technology
Global Journal of Computer Science and Technology - H: Information & Technology
Explore Journal
Global Journal of Human-Social Science
Global Journal of Human-Social Science
Explore Journal
Global Journal of Human-Social Science - A: Arts & Humanities
Global Journal of Human-Social Science - A: Arts & Humanities
Explore Journal
Global Journal of Human-Social Science - B: Geography, Environmental Science & Disaster Management
Global Journal of Human-Social Science - B: Geography, Environmental Science & Disaster Management
Explore Journal
Global Journal of Human-Social Science - C: Sociology & Culture
Global Journal of Human-Social Science - C: Sociology & Culture
Explore Journal
Global Journal of Human-Social Science - D: History, Archaeology & Anthropology
Global Journal of Human-Social Science - D: History, Archaeology & Anthropology
Explore Journal
Global Journal of Human-Social Science - E: Economics
Global Journal of Human-Social Science - E: Economics
Explore Journal
Global Journal of Human-Social Science - F: Political Science
Global Journal of Human-Social Science - F: Political Science
Explore Journal
Global Journal of Human-Social Science - G: Linguistics & Education
Global Journal of Human-Social Science - G: Linguistics & Education
Explore Journal
Global Journal of Human-Social Science - H: Interdisciplinary
Global Journal of Human-Social Science - H: Interdisciplinary
Explore Journal
Global Journal of Management and Business Research
Global Journal of Management and Business Research
Explore Journal
Global Journal of Management and Business Research - A: Administration & Management
Global Journal of Management and Business Research - A: Administration & Management
Explore Journal
Global Journal of Management and Business Research - B: Economic & Commerce
Global Journal of Management and Business Research - B: Economic & Commerce
Explore Journal
Global Journal of Management and Business Research - C: Finance
Global Journal of Management and Business Research - C: Finance
Explore Journal
Global Journal of Management and Business Research - D: Accounting & Auditing
Global Journal of Management and Business Research - D: Accounting & Auditing
Explore Journal
Global Journal of Management and Business Research - E: Marketing
Global Journal of Management and Business Research - E: Marketing
Explore Journal
Global Journal of Management and Business Research - F: Real estate, Event, Tourism Management & Transporting
Global Journal of Management and Business Research - F: Real estate, Event, Tourism Management & Transporting
Explore Journal
Global Journal of Management and Business Research - G: Interdisciplinary
Global Journal of Management and Business Research - G: Interdisciplinary
Explore Journal
Global Journal of Medical Research
Global Journal of Medical Research
Explore Journal
Global Journal of Medical Research - A: Neurology & Nervous System
Global Journal of Medical Research - A: Neurology & Nervous System
Explore Journal
Global Journal of Medical Research - B: Pharma, Drug Discovery, Toxicology & Medicine
Global Journal of Medical Research - B: Pharma, Drug Discovery, Toxicology & Medicine
Explore Journal
Global Journal of Medical Research - C: Microbiology & Pathology
Global Journal of Medical Research - C: Microbiology & Pathology
Explore Journal
Global Journal of Medical Research - D: Radiology, Diagnostic
Global Journal of Medical Research - D: Radiology, Diagnostic
Explore Journal
Global Journal of Medical Research - E: Gynecology & Obstetrics
Global Journal of Medical Research - E: Gynecology & Obstetrics
Explore Journal
Global Journal of Medical Research - F: Diseases
Global Journal of Medical Research - F: Diseases
Explore Journal
Global Journal of Medical Research - G: Veterinary Science & Medicine
Global Journal of Medical Research - G: Veterinary Science & Medicine
Explore Journal
Global Journal of Medical Research - H: Orthopedic & Musculoskeletal System
Global Journal of Medical Research - H: Orthopedic & Musculoskeletal System
Explore Journal
Global Journal of Medical Research - I: Surgeries & Cardiovascular System
Global Journal of Medical Research - I: Surgeries & Cardiovascular System
Explore Journal
Global Journal of Medical Research - J: Dentistry & Otolaryngology
Global Journal of Medical Research - J: Dentistry & Otolaryngology
Explore Journal
Global Journal of Medical Research - K: Interdisciplinary
Global Journal of Medical Research - K: Interdisciplinary
Explore Journal
Global Journal of Medical Research - L: Nutrition
Global Journal of Medical Research - L: Nutrition
Explore Journal
Global Journal of Research in Engineering
Global Journal of Research in Engineering
Explore Journal
Global Journal of Research in Engineering - A : Mechanical & Mechanics
Global Journal of Research in Engineering - A : Mechanical & Mechanics
Explore Journal
Global Journal of Research in Engineering - B: Automotive Engineering
Global Journal of Research in Engineering - B: Automotive Engineering
Explore Journal
Global Journal of Research in Engineering - C: Chemical Engineering
Global Journal of Research in Engineering - C: Chemical Engineering
Explore Journal
Global Journal of Research in Engineering - D: Aerospace Science
Global Journal of Research in Engineering - D: Aerospace Science
Explore Journal
Global Journal of Research in Engineering - E: Civil & Structural
Global Journal of Research in Engineering - E: Civil & Structural
Explore Journal
Global Journal of Research in Engineering - F: Electrical & Electronic
Global Journal of Research in Engineering - F: Electrical & Electronic
Explore Journal
Global Journal of Research in Engineering - G: Industrial Engineering
Global Journal of Research in Engineering - G: Industrial Engineering
Explore Journal
Global Journal of Research in Engineering - H: Robotics & Nano-Tec
Global Journal of Research in Engineering - H: Robotics & Nano-Tec
Explore Journal
Global Journal of Research in Engineering - I: Numerical Methods
Global Journal of Research in Engineering - I: Numerical Methods
Explore Journal
Global Journal of Research in Engineering - J: General Engineering
Global Journal of Research in Engineering - J: General Engineering
Explore Journal
Global Journal of Science Frontier Research
Global Journal of Science Frontier Research
Explore Journal
Global Journal of Science Frontier Research - A: Physics & Space Science
Global Journal of Science Frontier Research - A: Physics & Space Science
Explore Journal
Global Journal of Science Frontier Research - B: Chemistry
Global Journal of Science Frontier Research - B: Chemistry
Explore Journal
Global Journal of Science Frontier Research - C: Biological Science
Global Journal of Science Frontier Research - C: Biological Science
Explore Journal
Global Journal of Science Frontier Research - D: Agriculture & Veterinary
Global Journal of Science Frontier Research - D: Agriculture & Veterinary
Explore Journal
Global Journal of Science Frontier Research - E: Marine Science
Global Journal of Science Frontier Research - E: Marine Science
Explore Journal
Global Journal of Science Frontier Research - F: Mathematics & Decision
Global Journal of Science Frontier Research - F: Mathematics & Decision
Explore Journal
Global Journal of Science Frontier Research - G: Bio-Tech & Genetics
Global Journal of Science Frontier Research - G: Bio-Tech & Genetics
Explore Journal
Global Journal of Science Frontier Research - H: Environment & Environmental geology
Global Journal of Science Frontier Research - H: Environment & Environmental geology
Explore Journal
Global Journal of Science Frontier Research - I: Interdisciplinary
Global Journal of Science Frontier Research - I: Interdisciplinary
Explore Journal