Publications in collaboration with researchers from Université de Toulouse (12)

2018

  1. Classification of extinction profiles for a one-dimensional diffusive Hamilton-Jacobi equation with critical absorption

    Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 148, Núm. 3, pp. 559-574

  2. Extinction for a singular diffusion equation with strong gradient absorption revisited

    Advanced Nonlinear Studies, Vol. 18, Núm. 4, pp. 785-797

  3. Optimal extinction rates for the fast diffusion equation with strong absorption

    Bulletin of the London Mathematical Society, Vol. 50, Núm. 4, pp. 635-648

2017

  1. Instantaneous shrinking and single point extinction for viscous Hamilton–Jacobi equations with fast diffusion

    Mathematische Annalen, Vol. 368, Núm. 1-2, pp. 65-109

  2. Large Time Behavior for a Quasilinear Diffusion Equation with Critical Gradient Absorption

    Journal of Dynamics and Differential Equations, Vol. 29, Núm. 3, pp. 817-832

  3. Self-similar extinction for a diffusive Hamilton–Jacobi equation with critical absorption

    Calculus of Variations and Partial Differential Equations, Vol. 56, Núm. 3

2016

  1. Large time behavior for the fast diffusion equation with critical absorption

    Journal of Differential Equations, Vol. 260, Núm. 11, pp. 8000-8024

2014

  1. Asymptotic behavior for a singular diffusion equation with gradient absorption

    Journal of Differential Equations, Vol. 256, Núm. 8, pp. 2739-2777

2013

  1. Eternal solutions to a singular diffusion equation with critical gradient absorption

    Nonlinearity, Vol. 26, Núm. 12, pp. 3169-3195

  2. Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption

    Journal of the London Mathematical Society, Vol. 87, Núm. 2, pp. 509-529

2012

  1. Positivity, decay, and extinction for a singular diffusion equation with gradient absorption

    Journal of Functional Analysis, Vol. 262, Núm. 7, pp. 3186-3239

2011

  1. Asymptotic behaviour of a nonlinear parabolic equation with gradient absorption and critical exponent

    Interfaces and Free Boundaries, Vol. 13, Núm. 2, pp. 271-295