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Blow Up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions

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Book cover Computational Analysis

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 155))

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Abstract

We considered initial boundary value problems for semilinear heat equation with a nonlinear source term under the Robin boundary conditions. Sufficient conditions for the finite-time blow up of solutions with negative initial energy and arbitrary positive initial energy are obtained.

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References

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Authors and Affiliations

  1. Department of Mathematics, Yeditepe University, 34750, Istanbul, Turkey

    Jamila Kalantarova & Mustafa Polat

Authors
  1. Jamila Kalantarova
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  2. Mustafa Polat
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Corresponding author

Correspondence to Jamila Kalantarova .

Editor information

Editors and Affiliations

  1. Dept of Mathematical Sciences, University of Memphis, Memphis, Tennessee, USA

    George A. Anastassiou

  2. Department of Mathematics, TOBB Univ. of Economics and Technology, Ankara, Ankara, Turkey

    Oktay Duman

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Kalantarova, J., Polat, M. (2016). Blow Up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions. In: Anastassiou, G., Duman, O. (eds) Computational Analysis. Springer Proceedings in Mathematics & Statistics, vol 155. Springer, Cham. https://doi.org/10.1007/978-3-319-28443-9_15

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