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Existence, symmetries, and asymptotic properties of global solutions for a fractional diffusion equation with gradient nonlinearity

Author

Listed:
  • Halley Gomes

    (Federal University of Rio Grande do Norte)

  • Arlúcio Viana

    (Federal University of Sergipe)

Abstract

This work gives sufficient conditions to obtain the existence, positivity, symmetry, asymptotic and spatial behaviors of global solutions of a fractional reaction–diffusion equation with power-type and gradient nonlinearities. Eventually, we obtain results of the fractional viscous Hamilton–Jacobi equation.

Suggested Citation

  • Halley Gomes & Arlúcio Viana, 2021. "Existence, symmetries, and asymptotic properties of global solutions for a fractional diffusion equation with gradient nonlinearity," Partial Differential Equations and Applications, Springer, vol. 2(1), pages 1-30, February.
    • Handle: RePEc:spr:pardea:v:2:y:2021:i:1:d:10.1007_s42985-020-00067-3
    DOI: 10.1007/s42985-020-00067-3
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    References listed on IDEAS

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    1. Metzler, Ralf & Barkai, Eli & Klafter, Joseph, 1999. "Anomalous transport in disordered systems under the influence of external fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 343-350.
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