PUBLICATIONS

 Research papers in Mathematics

  1. Aingeru Fernández-Bertolin, Luz Roncal and Diana Stan, Landis-type results for discrete equations , preprint arXiv:2401.09066

  2. Cristina Tîrnăucă, Diana Stan, Johannes Mario Meissner, Diana Salas-Gómez, Mario Fernández-Gorgojo and Jon Infante,  A Machine Learning Approach to Detect Parkinson’s Disease by Looking at Gait Alterations, Mathematics 2022, 10(19), 3500. Journal

  3. Matteo Bonforte, Nikita Simonov and Diana Stan, The Cauchy problem for the fast p-Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour, Journal de Mathématiques Pures et Appliquées  (9) 163 (2022), 83–131. Journal  Arxiv

  4. Aingeru Fernández-Bertolin, Luz Roncal, Angkana Rüland and Diana Stan, Discrete Carleman estimates and three balls inequality, Calc. Var. (2021) 60:239. Journal  Arxiv

  5. Luz Roncal, Diana Stan and Luis Vega, Carleman type inequalities for fractional relativistic operators,  Rev. Mat. Complutense. Journal  Arxiv

  6. Diana Stan, Félix del Teso and Juan Luis Vázquez, Existence of solutions for a general porous medium equation with nonlocal pressure, Arch. Ration. Mech. Anal. 233 (2019), no. 1, 451–496

  7. Liviu Ignat and Diana Stan, Asymptotic behaviour of solutions to fractional diffusion-convection equations, J. Lond. Math. Soc. (2) 97 (2018), no. 2, 258–281.

  8.  Diana Stan, Félix del Teso and Juan Luis Vázquez, Finite and infinite speed of propagation for porous medium equations with nonlocal pressure, Journal of Differential Equations 260 (2016), no. 2, 1154–1199.

  9. Diana Stan, Félix del Teso and Juan Luis Vázquez, Transformations of Self-Similar Solutions for porous medium equations of fractional type, Nonlinear Analysis Series A: Theory, Methods and Applications, Volume 119, Year 2015, Pages 62–73.

  10.  Diana Stan and Juan Luis Vázquez, The Fisher-KPP equation with nonlinear fractional diffusion, SIAM J. Math. Anal., Volume 46, no. 5, Year 2014, Pages 3241—3276.

  11. Diana Stan, Félix del Teso and Juan Luis Vázquez, Finite and infinite speed of propagation for porous medium equations with fractional pressure, Comptes Rendus Mathematique, Volume 352, Number 2, Year 2014, Pages 123–128.

  12. Diana Stan and Juan Luis Vázquez, Asymptotic behaviour of the doubly nonlinear diffusion equation on bounded domains, Nonlinear Analysis Series A: Theory, Methods and Applications, Volume 77, January 2013, Pages 1-–32.

  13.  Diana Putan and Diana Stan, Dynamical behavior of endomorphisms on certain invariant sets, Mathematica Slovaca, Vol.63 no.1 , Year 2013, Pages 135–142.

  14.  Liviu Ignat and Diana Stan, Dispersive properties of discrete Schrodinger equations, J. Fourier Anal. Appl. Volume 17, Number 5, Year 2011, Pages 1035-1065.

 

BOOK CHAPTERS

  1. Springer Book “Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg”, 2018, Part of the Springer Optimization and Its Applications book series (SOIA, volume 135), ISBN 978-3-319-89800-1 https://www.springer.com/us/book/9783319897998 Chapter: Porous medium equation with nonlocal pressure, Authors: Diana Stan, Félix del Teso and Juan Luis Vázquez, Pages 277-308.

   

Research papers in Medicine

  1. Antonio Sánchez-Rodríguez, Cristina Tirnauca, Diana Salas-Gómez, Mario Fernández-Gorgojo, Isabel Martínez-Rodríguez, María Sierra, Isabel González-Aramburu, Diana Stan, Angela Gutierrez-González, Johannes M.Meissner, Javier Andrés-Pacheco, María Rivera-Sánchez, María Victoria Sánchez-Peláez, Pascual Sánchez-Juan, Jon Infante, Sensor-based gait analysis in the premotor stage of LRRK2 G2019S-associated Parkinson's disease, Parkinsonism & Related Disorders, Volume 98, May 2022, Pages 21-26. Journal