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Arturo de Pablo

Catedrático de Universidad

(Full Professor)

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

Curriculum Vitae: Mathematics Genealogy Project

Teaching

. Differential equations. Segundo curso de Grado en Ingeniería Biomédica.

. Calculus I. Primer curso de Grados en Ingeniería de Comunicaciones móviles y espaciales / Sonido e imagen / Telemática.

. Ecuaciones en derivadas parciales. Máster en Ingeniería Matemática.

Scientific Publications in the last years

  1. Anisotropic nonlocal diffusion equations with singular forcing (with F. Quirós and A. Rodríguez), Annales Henri Poincaré (to appear). Preprint. arxiv:1810.07499
  2. Blow-up rates for a fractional heat equation (with R. Ferreira), Proc. Am. Math. Soc (to appear).
  3. Grow-up for a quasilinear heat equation with a localized reaction (with R. Ferreira), J. Differential Equations 268 (2020), 6211-6229.
  4. Remarks on a nonlinear nonlocal operator in Orlicz spaces (with E. Correa), Adv. Nonlinear Anal. 9 (2020) 305–326.
  5. Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions (with R. Ferreira), Rev. Mat. Complut. 31 (2018) 805-832.
  6. Regularity theory for singular nonlocal diffusion equations (with F. Quirós and A. Rodríguez), Calc. Var. Partial Differential Equations 57 (2018) 57:136.
  7. Nonlocal operators of order near zero   J. Math. Anal. Appl 461 (2018), No1, 837-867.
  8. Nonlocal heat equations: regularizing effect, decay estimates and Nash inequalities (with C. Brändle), Commun. Pure Appl. Anal. 17 (2018), No. 3, 1161-1178.
  9. Classical solutions and higher regularity for nonlinear fractional diffusion equations (with F. Quirós, A. Rodríguez and J.L. Vazquez), J. Euro. Math. Soc. 19 (2017), N0. 7, 1949-1975.
  10. Nonlocal filtration with rough kernels (with F. Quirós and A. Rodríguez). Nonlinear Anal., 137 (2016), 402-425.
  11. Perturbations of a critical fractional equation (with E. Colorado and U. Sánchez) Pacific J. Math., 271 (2014), No. 1, 65–85.
  12. Classical solutions for a logarithmic fractional diffusion equation (with F. Quirós, A. Rodríguez and J.L. Vazquez), J. Math. Pure Appl.,  101 (2014), no. 6, 901–924.
  13. A concave-convex elliptic problem involving the fractional Laplacian (with C. Brändle, E. Colorado and U. Sánchez), Proc. Roy. Soc. Edinburgh, 143 (2013), 39-71.
  14. The Cauchy problem for a nonhomogeneous heat equation with reaction (with G. Reyes and A. Sánchez), Discrete Contin. Dyn. Syst., 33 (2013), 643--662.
  15. A general fractional porous medium equation (with F. Quirós, A. Rodríguez and J.L. Vazquez), Comm. Pure Applied Math., 65 (2012),  1242--1284.
  16. On some critical problems for the fractional Laplacian operator (with B. Barrios, E. Colorado and U. Sánchez), J. Differential Equations, 252 (2012), 6133-6162.
  17. Critical exponents for a semilinear parabolic equation with variable reaction (with R. Ferreira, M. Pérez-Llanos and J.D. Rossi), Proc. Roy. Soc. Edinburgh, 142 (2012), 1027--1042.
  18. A fractional porous medium equation (with F. Quirós, A. Rodríguez and J.L. Vázquez), Adv. Math. 226 (2011) 1378–1409.
  19. 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.
  20. Critical coefficients in blow-up problems. Dynam. Systems Appl. 18 (2009), 81--102.
  21. 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.
  22. 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.
  23. Blow-up with logarithmic nonlinearities (with R. Ferreira and J.D. Rossi). J. Differential Equations 249 (2007), 196--215.
  24. Classification of blow-up with nonlinear diffusion and localized reaction (with R. Ferreira nad J.L. Vázquez). J. Differential Equations 231 (2006), 195--211.
  25. An introduction to the problem of blow-up for semilinear and quasilinear parabolic equations. MAT. Serie A 12 (2006).
  26. 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.
  27. 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.
  28. 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.
  29. Long time behaviour for a nonlinear first-order equation (with G. Reyes). Nonlinear Anal. 65 (2006), 284--300.

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