Miguel A. Herrero

Best Publications

• A blow-up mechanism for a chemotaxis model

  Miguel A. Herrero;Juan J. L. Velazquez

  722
  Citations

• Singularity patterns in a chemotaxis model

  Miguel A. Herrero;Juan J. L. Velázquez

  405
  Citations

• Chemotactic collapse for the Keller-Segel model.

  Miguel A. Herrero;Juan J. L. Velázquez

  294
  Citations

• Blow-up behaviour of one-dimensional semilinear parabolic equations

  Miguel A. Herrero;J.J. L. Velázquez

  257
  Citations

• On the Cauchy problem and initial traces for a degenerate parabolic equation

  E. Di Benedetto;Miguel A. Herrero

  215
  Citations

• The Cauchy problem for _{}=Δ^{} when 0<<1

  Miguel A. Herrero;Michel Pierre

  188
  Citations

• Finite-time aggregation into a single point in a reaction - diffusion system

  M A Herrero;E Medina;J J L Velázquez

  178
  Citations

• Explosion de solutions d'équations paraboliques semilinéaires supercritiques

  Miguel A. Herrero;J.J. L. Velázquez

  165
  Citations

• Non-negative solutions of the evolution p-Laplacian equation. Initial traces and cauchy problem when 1<p<2

  E. Di Benedetto;E. Di Benedetto;Miguel A. Herrero;Miguel A. Herrero

  147
  Citations

• Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity

  Stathis Filippas;Miguel A Herrero;Juan J.L Velazquez

  129
  Citations

• Self-similar blow-up for a reaction-diffusion system

  M. A. Herrero;E. Medina;J. J. L. Velázquez

  126
  Citations

• On the propagation properties of a nonlinear degenerate parabolic equation

  Miguel A. Herrero;Juan Luis Vazquez

  124
  Citations

• Liouville theorems and blow up behaviour in semilinear reaction diffusion systems

  D. Andreucci;Miguel A. Herrero;J.J. L. Velázquez

  111
  Citations

• Extinction properties of semilinear heat equations with strong absorption

  Avner Friedman;Miguel A Herrero

  111
  Citations

• An Emerging Allee Effect Is Critical for Tumor Initiation and Persistence.

  Katrin Böttger;Haralambos Hatzikirou;Anja Voss-Böhme;Anja Voss-Böhme;Elisabetta Ada Cavalcanti-Adam;Elisabetta Ada Cavalcanti-Adam

  104
  Citations

• Blow–Up Profiles in One–Dimensional. Semilinear Parabolic Problems

  Miguel A. Herrero;J.J. L. Velázquez

  96
  Citations

• Estimates on the support of the solutions of some nonlinear elliptic and parabolic problems

  J. I. Díaz;M. A. Herrero

  96
  Citations

• Generic behaviour of one-dimensional blow up patterns

  Miguel A. Herrero;J.J. L. Velázquez

  95
  Citations

• The one-dimensional nonlinear heat equation with absorption: regularity of solutions and interfaces

  Migual A. Herrero;Juan L. Vázquez

  84
  Citations

• The Cauchy problem for ut = Δu(m) when 0<m<1

  Miguel A. Herrero;Michel Pierre

  81
  Citations