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Peer-reviewedCC BYAdvances in Nonlinear Analysis

Global existence and blowup for a nonlocal wave equation with combined power-type nonlinearities

  • Pang Yue1
  • Qiu Xiaotong2
  • Wu Weipeng3
  1. 1School of Mathematics and Statistics, Heilongjiang University, Harbin150080, China
  2. 2School of Mathematical Sciences, Harbin Engineering University, Harbin150001, China
  3. 3College of Software, Harbin Institute of Information Technology, Harbin150431, China
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Abstract

The Cauchy problem for a class of nonlinear nonlocal wave equation is considered. For the subcritical and critical initial energy levels, we prove the existence of global solution and finite time blowup of solutions, respectively.

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Cite

BibTeXRIS
BibTeX
@article{yue2026global,
  title = {{Global existence and blowup for a nonlocal wave equation with combined power-type nonlinearities}},
  author = {Pang Yue and Qiu Xiaotong and Wu Weipeng},
  journal = {Advances in Nonlinear Analysis},
  year = {2026},
  month = oct,
  doi = {10.1515/anona-2025-0183},
  url = {https://doi.org/10.1515/anona-2025-0183},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Global existence and blowup for a nonlocal wave equation with combined power-type nonlinearities
AU  - Pang Yue
AU  - Qiu Xiaotong
AU  - Wu Weipeng
PY  - 2026
DA  - 2026/10/01
JO  - Advances in Nonlinear Analysis
DO  - 10.1515/anona-2025-0183
UR  - https://doi.org/10.1515/anona-2025-0183
AB  - The Cauchy problem for a class of nonlinear nonlocal wave equation is considered. For the subcritical and critical initial energy levels, we prove the existence of global solution and finite time blowup of solutions, respectively.
SN  - 2191-950X
SN  - 2191-9496
ER  -