Department of Mathematics

Universidad Carlos III de Madrid

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Home People Titulares Arturo de Pablo
Arturo de Pablo Martínez

Titular de Universidad

(Associate Professor)

Office: 2.2D07(Edificio Sabatini)
Phone: +34 916249444
E-Mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it

Curriculum Vitae: Mathematics Genealogy Project
 

Scientific Publications in the last years

  1. A general fractional porous medium equation (with F. Quirós, A. Rodríguez and J.L. Vazquez), Comm. Pure Applied Math., in press.
  2. A critical problem for the fractional Laplacian (with B. Barrios, E. Colorado and U. Sánchez), J. Differential Equations, in press
  3. A concave-convex elliptic problem involving the fractional Laplacian (with C. Brändle, E. Colorado and U. Sánchez), Proc. Roy. Soc. Edinburgh, in press.
  4. Critical exponents for a semilinear parabolic equation with variable reaction (with R. Ferreira, M. Pérez-Llanos and J.D. Rossi), Proc. Roy. Soc. Edinburgh, in press.
  5. A fractional porous medium equation (with F. Quirós, A. Rodríguez and J.L. Vázquez), Adv. Math. 226 (2011) 1378–1409
  6. Stability of the blow-up time and the blow-up set under perturbations (with J.M. Arrieta, R. Ferreira and J.D. Rossi), Discrete Contin. Dyn. Syst. 26 (2010), 43--6.
  7. Critical coefficients in blow-up problems. Dynam. Systems Appl. 18 (2009), 81--102.
  8. Incomplete quenching in a system of heat equations coupled at the boundary (with R. Ferreira, M. Pérez-Llanos and J.D. Rossi). J. Math. Anal. Appl. 346 (2008), 145--154.
  9. Blow-up for a heat equation with convection and boundary flux (with G. Reyes and A. Sánchez). Proc. Roy. Soc. Edinburgh Sect A 138 (2008), 513--530.
  10. Blow-up with logarithmic nonlinearities (with R. Ferreira and J.D. Rossi). J. Differential Equations 249 (2007), 196--215.
  11. Classification of blow-up with nonlinear diffusion and localized reaction (with R. Ferreira nad J.L. Vázquez). J. Differential Equations 231 (2006), 195--211.
  12. An introduction to the problem of blow-up for semilinear and quasilinear parabolic equations. MAT. Serie A 12 (2006).
  13. Non-simultaneous quenching in a system of heat equations coupled at the boundary (with R. Ferreira, F. Quirós and J.D. Rossi). Z. Angew. Math. Phys. 57 (2006), 586--594.
  14. Blow-up for a degenerate diffusion problem not in divergence form (with R. Ferreira and J.D. Rossi). Indiana Univ. Math. J. 55 (2006), 955--974.
  15. The interfaces of an inhomogeneous porous medium equation with convection (with R. Ferreira, G. Reyes and A. Sánchez). Comm. Partial Differential Equations 31 (2006), 497--514.
  16. Long time behaviour for a nonlinear first-order equation (with G. Reyes). Nonlinear Anal. 65 (2006), 284--300.
Last Updated on Monday, 26 March 2012 12:36
 

Teaching

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Departamento de Matemáticas
Universidad Carlos III de Madrid
Avenida de la Universidad, 30
28911, Leganés, Madrid
Spain

FAX: + 34 91 624 9151