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Volume 32, Issue 2
A Blow-up Result with Arbitrary Positive Initial Energy for Nonlinear Wave Equations with Degenerate Damping Terms

Xiao Su & Shubin Wang

DOI: 10.4208/jpde.v32.n2.7

J. Part. Diff. Eq., 32 (2019), pp. 181-190.

Published online: 2019-07

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  • Abstract

This article is concerned with the finite time blow-up of weak solutions to the wave equations with nonlinear damping and source terms. We provide the sufficient conditions of finite time blow-up of weak solutions with arbitrary positive initial energy by constructing a energy perturbation function.

  • Keywords

Wave equations blow-up arbitrary positive initial energy.

  • AMS Subject Headings

35L05, 35L20, 58J45

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

suxiao@haut.edu.cn (Xiao Su)

wangshubin@zzu.edu.cn (Shubin Wang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-32-181, author = {Su , Xiao and Wang , Shubin}, title = {A Blow-up Result with Arbitrary Positive Initial Energy for Nonlinear Wave Equations with Degenerate Damping Terms}, journal = {Journal of Partial Differential Equations}, year = {2019}, volume = {32}, number = {2}, pages = {181--190}, abstract = {

This article is concerned with the finite time blow-up of weak solutions to the wave equations with nonlinear damping and source terms. We provide the sufficient conditions of finite time blow-up of weak solutions with arbitrary positive initial energy by constructing a energy perturbation function.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v32.n2.7}, url = {http://global-sci.org/intro/article_detail/jpde/13242.html} }
TY - JOUR T1 - A Blow-up Result with Arbitrary Positive Initial Energy for Nonlinear Wave Equations with Degenerate Damping Terms AU - Su , Xiao AU - Wang , Shubin JO - Journal of Partial Differential Equations VL - 2 SP - 181 EP - 190 PY - 2019 DA - 2019/07 SN - 32 DO - http://doi.org/10.4208/jpde.v32.n2.7 UR - https://global-sci.org/intro/article_detail/jpde/13242.html KW - Wave equations KW - blow-up KW - arbitrary positive initial energy. AB -

This article is concerned with the finite time blow-up of weak solutions to the wave equations with nonlinear damping and source terms. We provide the sufficient conditions of finite time blow-up of weak solutions with arbitrary positive initial energy by constructing a energy perturbation function.

Su , Xiao and Wang , Shubin. (2019). A Blow-up Result with Arbitrary Positive Initial Energy for Nonlinear Wave Equations with Degenerate Damping Terms. Journal of Partial Differential Equations. 32 (2). 181-190. doi:10.4208/jpde.v32.n2.7
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