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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.

Mathematics Genealogy Project

MathSciNet MR Author ID: 271374

ResearchID: K-2167-2014

Orcid ID: 0000-0002-8095-444X

 

Teaching

. Cálculo III. Segundo curso de Grado en Ingeniería de Tecnologías Industriales. 2021/2022

. Partial Differential Equations. Tercer curso del Grado en Matemática Aplicada y Computación. 2021/2022

. Differential equations. Segundo curso de Grado en Ingeniería Biomédica. 2020/2021

. Calculus I. Primer curso de Grados en Ingeniería de Comunicaciones móviles y espaciales / Sonido e imagen / Telemática. 2020/2021

. Ecuaciones en derivadas parciales. Máster en Ingeniería Matemática. 2020/2021

Scientific Publications in the last years

  1. A nonlinear diffusion equation with reaction localized in the half-line (with R. Ferreira), Mathematics in Engineering, 4(3): 1–24.
  2. Extremals in Hardy-Littlewood-Sobolev inequalities for  stable processes (with F. Quirós and A. Ritorto), preprint arXiv:2105.06520v1.
  3. Anisotropic nonlocal diffusion equations with singular forcing (with F. Quirós and A. Rodríguez), Annales Henri Poincaré 37 (2020), 1167-1183.
  4. Blow-up rates for a fractional heat equation (with R. Ferreira), Proc. Am. Math. Soc149 (2021), 2011-2018.
  5. Grow-up for a quasilinear heat equation with a localized reaction (with R. Ferreira), J. Differential Equations 268 (2020), 6211-6229.
  6. Remarks on a nonlinear nonlocal operator in Orlicz spaces (with E. Correa), Adv. Nonlinear Anal. 9 (2020) 305–326.
  7. Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions (with R. Ferreira), Rev. Mat. Complut. 31 (2018) 805-832.
  8. Regularity theory for singular nonlocal diffusion equations (with F. Quirós and A. Rodríguez), Calc. Var. Partial Differential Equations 57 (2018) 57:136.
  9. Nonlocal operators of order near zero   J. Math. Anal. Appl 461 (2018), No1, 837-867.
  10. Nonlocal heat equations: regularizing effect, decay estimates and Nash inequalities (with C. Brändle), Commun. Pure Appl. Anal. 17 (2018), No. 3, 1161-1178.
  11. 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.
  12. Nonlocal filtration with rough kernels (with F. Quirós and A. Rodríguez). Nonlinear Anal., 137 (2016), 402-425.
  13. Perturbations of a critical fractional equation (with E. Colorado and U. Sánchez) Pacific J. Math., 271 (2014), No. 1, 65–85.
  14. 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.
  15. 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.
  16. The Cauchy problem for a nonhomogeneous heat equation with reaction (with G. Reyes and A. Sánchez), Discrete Contin. Dyn. Syst., 33 (2013), 643--662.
  17. A general fractional porous medium equation (with F. Quirós, A. Rodríguez and J.L. Vazquez), Comm. Pure Applied Math., 65 (2012),  1242--1284.
  18. On some critical problems for the fractional Laplacian operator (with B. Barrios, E. Colorado and U. Sánchez), J. Differential Equations, 252 (2012), 6133-6162.
  19. 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.
  20. A fractional porous medium equation (with F. Quirós, A. Rodríguez and J.L. Vázquez), Adv. Math. 226 (2011) 1378–1409.
  21. 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.
  22. Critical coefficients in blow-up problems. Dynam. Systems Appl. 18 (2009), 81--102.
  23. 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.
  24. 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.
  25. Blow-up with logarithmic nonlinearities (with R. Ferreira and J.D. Rossi). J. Differential Equations 249 (2007), 196--215.
  26. Classification of blow-up with nonlinear diffusion and localized reaction (with R. Ferreira nad J.L. Vázquez). J. Differential Equations 231 (2006), 195--211.
  27. An introduction to the problem of blow-up for semilinear and quasilinear parabolic equations. MAT. Serie A 12 (2006).
  28. 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.
  29. 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.
  30. 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.
  31. Long time behaviour for a nonlinear first-order equation (with G. Reyes). Nonlinear Anal. 65 (2006), 284--300.

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