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Volume 27, Issue 4
Blow-up of Solutions for a Class of Fourth-order Equation Involving Dissipative Boundary Condition and Positive Initial Energy

Mohammad Shahrouzi

DOI: 10.4208/jpde.v27.n4.5

J. Part. Diff. Eq., 27 (2014), pp. 347-356.

Published online: 2014-12

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  • Abstract
In this paper we consider a forth order nonlinear wave equation with dissipative boundary condition. We show that there are solutions under some conditions on initial data which blow up in finite time with positive initial energy.
  • Keywords

Blow up fourth order boundary dissipation

  • AMS Subject Headings

35B30, 35B44, 35G31

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

mshahrouzi@shirazu.ac.ir (Mohammad Shahrouzi)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-27-347, author = {Shahrouzi , Mohammad}, title = {Blow-up of Solutions for a Class of Fourth-order Equation Involving Dissipative Boundary Condition and Positive Initial Energy}, journal = {Journal of Partial Differential Equations}, year = {2014}, volume = {27}, number = {4}, pages = {347--356}, abstract = { In this paper we consider a forth order nonlinear wave equation with dissipative boundary condition. We show that there are solutions under some conditions on initial data which blow up in finite time with positive initial energy.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v27.n4.5}, url = {http://global-sci.org/intro/article_detail/jpde/5147.html} }
TY - JOUR T1 - Blow-up of Solutions for a Class of Fourth-order Equation Involving Dissipative Boundary Condition and Positive Initial Energy AU - Shahrouzi , Mohammad JO - Journal of Partial Differential Equations VL - 4 SP - 347 EP - 356 PY - 2014 DA - 2014/12 SN - 27 DO - http://doi.org/10.4208/jpde.v27.n4.5 UR - https://global-sci.org/intro/article_detail/jpde/5147.html KW - Blow up KW - fourth order KW - boundary dissipation AB - In this paper we consider a forth order nonlinear wave equation with dissipative boundary condition. We show that there are solutions under some conditions on initial data which blow up in finite time with positive initial energy.
Mohammad Shahrouzi. (2019). Blow-up of Solutions for a Class of Fourth-order Equation Involving Dissipative Boundary Condition and Positive Initial Energy. Journal of Partial Differential Equations. 27 (4). 347-356. doi:10.4208/jpde.v27.n4.5
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