Página web de AlbertoWebpage of Alberto

Profesor · Investigador principal · Departamento de Matemáticas · Universidad de Sonora Professor · Principal Investigator · Department of Mathematics · University of Sonora

EN ES
Alberto Domínguez Corella

Sobre mí About me

Soy profesor en el Departamento de Matemáticas de la Universidad de Sonora. Mis intereses de investigación pueden condensarse en cuatro áreas: optimización, análisis variacional, probabilidad y física matemática.

I am a professor in the Department of Mathematics at the University of Sonora. My research interests can be condensed into four areas: optimization, variational analysis, probability, and mathematical physics.

En este sitio web subiré mis preprints y otras cosas relacionadas con mi investigación.

On this website I will post my preprints and other material related to my research.

MathSciNet zbMATH Mathematics Genealogy

Campos de investigación Fields of research

  • OptimizaciónOptimization
  • Análisis variacionalVariational analysis
  • ProbabilidadProbability
  • Física matemáticaMathematical physics

Proyectos en curso Ongoing projects

  • Complexity reduction by random batch methods for heat flow on graph-like structures
    Investigador principal: Alberto Domínguez Corella · Proyecto interno. Principal Investigator: Alberto Domínguez Corella · Internal project.
  • Talagrand inequalities and subregularity of subgradients
    Investigador principal: Alberto Domínguez Corella · Proyecto interno. Principal Investigator: Alberto Domínguez Corella · Internal project.

Artículos de investigación Research papers

  1. 21.
    A. Domínguez Corella. “Metric gradient flows and variational principles”. J. Geom. Anal., to appear. Preprint
  2. 20.
    B. Bonnet–Weill, A. Domínguez Corella, and H. Frankowska. “Viability theory in the 1-Wasserstein space”. J. Funct. Anal., to appear. Preprint
  3. 19.
    A. Domínguez Corella and A. Villegas–Acuña. “The Brøndsted–Rockafellar theorem in geodesic spaces”. ESAIM Control Optim. Calc. Var. 32, Paper No. 61, 2026. Preprint
  4. 18.
    A. Domínguez Corella. “On the geometry of sharp minima”. Optimization, to appear. Preprint
  5. 17.
    A. Daniilidis, A. Domínguez Corella, and P. Wissgott. “Feature weighting for data analysis via evolutionary simulation”. Proc. Banff Conf. Strategies for Handling Applications with Nonconvexity (SHAWN 2025), Springer Nature Switzerland AG, to appear. Preprint
  6. 16.
    A. Domínguez Corella and T. Minh Lê. “A note on absolutely minimal extensions in finite metric spaces”. Math. Notes 120, no. 1–2, 262–269, 2026. Preprint
  7. 15.
    A. Domínguez Corella and D. González–Sánchez. “A first-order condition for discrete-time distribution steering”. Pure Appl. Funct. Anal., to appear. Preprint
  8. 14.
    A. Domínguez Corella, N. Jork, and S. Volkwein. “Differentiability of the value function in control-constrained parabolic problems”. SIAM J. Control Optim. 64, no. 5, 3470–3491, 2026. Preprint
  9. 13.
    A. Domínguez Corella and T. Minh Lê. “On the growth of nonconvex functionals at strict local minimizers”. SIAM J. Optim. 36, no. 2, 968–986, 2026. Preprint
  10. 12.
    A. Domínguez Corella and M. Hernández. “Mini-batch descent in semiflows”. ESAIM Control Optim. Calc. Var. 31, Paper No. 28, 2025. Preprint
  11. 11.
    A. Domínguez Corella, N. Jork, Š. Nečasová, and J. S. H. Simon. “Stability analysis of the Navier-Stokes velocity tracking problem with bang-bang controls”. J. Optim. Theory Appl. 201, no. 2, 790–824, 2024. Preprint
  12. 10.
    A. Domínguez Corella and G. Wachsmuth. “Stability and genericity of bang-bang controls in affine problems”. SIAM J. Control Optim. 62, no. 3, 1669–1689, 2024. Preprint
  13. 9.
    A. Domínguez Corella, N. Jork, and V. M. Veliov. “Solution stability of parabolic optimal control problems with fixed state-distribution of the controls”. Serdica Math. J. 49, no. 1–3, 155–186, 2023. Preprint
  14. 8.
    A. Domínguez Corella, N. Jork, and V. M. Veliov. “On the solution stability of parabolic optimal control problems”. Comput. Optim. Appl. 86, no. 3, 1035–1079, 2023. Preprint
  15. 7.
    E. Casas, A. Domínguez Corella, and N. Jork. “New assumptions for stability analysis in elliptic optimal control problems”. SIAM Journal on Control and Optimization 61, no. 3, 1394–1414, 2023. Preprint
  16. 6.
    A. Domínguez Corella, N. Jork, and V. Veliov. “Stability in affine optimal control problems constrained by semilinear elliptic partial differential equations”. ESAIM Control Optim. Calc. Var. 28, Paper No. 79, 2022. Preprint
  17. 5.
    G. Angelov, A. Domínguez Corella, and V. M. Veliov. “On the accuracy of the model predictive control method”. SIAM J. Control Optim. 60, no. 4, 2469–2487, 2022. Preprint
  18. 4.
    A. Domínguez Corella and V. Veliov. “Hölder regularity in bang-bang type affine optimal control problems”. Large-scale scientific computing, Lecture Notes in Comput. Sci. 13127, Springer, 306–313, 2022. Preprint
  19. 3.
    A. Domínguez Corella, M. Quincampoix, and V. Veliov. “Strong bi-metric regularity in affine optimal control problems”. Pure Appl. Funct. Anal. 6, no. 6, 1119–1137, 2021. Preprint
  20. 2.
    A. Domínguez Corella and O. Hernández-Lerma. “The maximum principle for discrete-time control systems and applications to dynamic games”. J. Math. Anal. Appl. 475, no. 1, 253–277, 2019. Preprint
  21. 1.
    A. Domínguez Corella and J. Rivera Noriega. “A class of non-cylindrical domains for parabolic equations”. Lect. Mat. 38, no. 2, 49–63, 2017. Preprint

Contacto Contact

Mi dirección de e-mail es: alberto.corella@unison.mx

My e-mail address is: alberto.corella@unison.mx

Departamento de Matemáticas Department of Mathematics · Universidad de Sonora University of Sonora