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The Self-interacting Scalar Field Propagating in FLRW Model of the Contracting Universe

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Analysis, Probability, Applications, and Computation

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

We present a condition on the self-interaction term that guaranties the existence of the global-in-time solution of the Cauchy problem for the semilinear Klein–Gordon equation in the FLRW model of the contracting universe. For the equation with the Higgs potential, we give an estimate for the lifespan of solution.

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Acknowledgements

K. Yagdjian was supported by the University of Texas Rio Grande Valley College of Sciences 2016–2017 Research Enhancement Seed Grant.

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Authors and Affiliations

  1. School of Mathematical and Statistical Sciences, University of Texas RGV, Edinburg, TX, USA

    Anahit Galstian & Karen Yagdjian

Authors
  1. Anahit Galstian
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  2. Karen Yagdjian
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Corresponding author

Correspondence to Anahit Galstian .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Karl‐Olof Lindahl

  2. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Torsten Lindström

  3. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

  4. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft

  5. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Patrik Wahlberg

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Galstian, A., Yagdjian, K. (2019). The Self-interacting Scalar Field Propagating in FLRW Model of the Contracting Universe. In: Lindahl, K., Lindström, T., Rodino, L., Toft, J., Wahlberg, P. (eds) Analysis, Probability, Applications, and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-04459-6_30

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