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Global existence and blowup of solutions for a semilinear Klein-Gordon equation with the product of logarithmic and power-type nonlinearity

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Abstract

In this paper we study the initial boundary value problem of a semilinear Klein-Gordon equation with the multiplication of logarithmic and polynomial nonlinearities. By using potential well method and energy method, we obtain the existence of global solutions and finite-time blowup solutions.

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Acknowledgements

The authors would like to thank the referees for their valuable suggestions and comments for the improvement of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Dr. Lankapalli Bullayya College, Visakhapatnam, Andhra Pradesh, 530013, India

    Mahammad Khuddush

  2. Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India

    K. Rajendra Prasad

  3. Department of Mathematics, College of Engineering for Women, Gayatri Vidya Parishad, Visakhapatnam, 530048, India

    B. Bharathi

Authors
  1. Mahammad Khuddush
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  2. K. Rajendra Prasad
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  3. B. Bharathi
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The study was carried out in collaboration of all authors. All authors read and approved the final manuscript.

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Correspondence to Mahammad Khuddush.

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Khuddush, M., Prasad, K.R. & Bharathi, B. Global existence and blowup of solutions for a semilinear Klein-Gordon equation with the product of logarithmic and power-type nonlinearity. Ann Univ Ferrara 68, 187–201 (2022). https://doi.org/10.1007/s11565-022-00395-9

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  • DOI: https://doi.org/10.1007/s11565-022-00395-9

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