Projects per year
Personal profile
Professional Information
Alejandro joined NU as an Assistant Professor in the Department of Mathematics the summer of 2016. He is from Tenerife (Spain) where he obtained the PhD degree in Mathematics in 2014 at the University of La Laguna. Later he spent two years in Sweden with a PostDoc position at Uppsala University. His research spans a broad area within Harmonic Analysis and its applications to Partial Differential Equations. In particular he has been interested in singular operators associated with orthogonal systems (Bessel, Hermite, Jacobi, Laguerre, etc) and on the well-posedness (i.e. existence and uniqueness of solutions) of low regularity parabolic boundary value problems. Currently he is working on the initial data problem for the Schrödinger equation.
Personal Webpage: https://sites.google.com/site/ajcastroajcastro/home
External positions
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Collaborations and top research areas from the last five years
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Analysis of dispersive nonlinear partial differential equations in weighted Sobolev spaces
1/1/23 → 12/31/25
Project: Government
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Oscillatory Integrals and Partial Differential Equations
Castro Castilla, A. J. (PI), Assylbekov, Z. (Other Faculty/Researcher), Staubach, W. (Other Faculty/Researcher), Valido Flores, A. A. (Other Faculty/Researcher), Mattsson, T. (Other Faculty/Researcher), Zhapsarbayeva, L. (Postdoctoral scholar (PhD degree holder)), Jabbarkhanov, K. (Other participant), Bazarkhanova, A. (Master student/Bachelor degree holder), Tobakhanov, N. (Other participant), Kazbek, M. (Other participant), Myrzabayeva, G. (Other participant), Chun, S. (Undergraduate student), Pak, A. (Undergraduate student) & Begantsova, M. (Undergraduate student)
1/1/22 → 12/31/24
Project: FDCRGP
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Nonlinear Dispersive Partial Differential Equations
Castro Castilla, A. J. (PI), Staubach, W. (Other Faculty/Researcher), Valido Flores, A. A. (Postdoctoral scholar (PhD degree holder)) & Israelsson, A. (Other participant)
1/31/19 → 12/31/21
Project: FDCRGP
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Imaging in Seismic Exploration
Kashkynbayev, A. (PI) & Castro Castilla, A. J. (Co-PI)
1/1/18 → 3/31/21
Project: FDCRGP
Research output
- 47 Article
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A note on the quartic generalized Korteweg–de Vries equation in weighted Sobolev spaces
Castro, A. J., Esfahani, A. & Zhapsarbayeva, L., Jan 2024, In: Nonlinear Analysis, Theory, Methods and Applications. 238, 113400.Research output: Contribution to journal › Article › peer-review
Open Access -
Estimates for evolutionary partial differential equations in classical function spaces
Castilla, A. C., Israelsson, A., Staubach, W. & Yerlanov, M., 2023, In: Forum of Mathematics, Sigma. 11, p. 1-57Research output: Contribution to journal › Article › peer-review
Open Access1 Citation (Scopus) -
SOME LOCAL WELL POSEDNESS RESULTS IN WEIGHTED SOBOLEV SPACE H1/3 FOR THE 3-KDV EQUATION
Castro, A. J. & Zhapsarbayeva, L. K., Dec 31 2023, In: KazNU Bulletin. Mathematics, Mechanics, Computer Science Series. 120, 4, p. 3-15 13 p.Research output: Contribution to journal › Article › peer-review
Open Access -
The Hardy-Littlewood property and maximal operators associated with the inverse Gauss measure
Betancor, J. J., Castro, A. J. & de León-Contreras, M., 2023, In: Annali della Scuola normale superiore di Pisa - Classe di scienze. 24, 1, p. 551-597 47 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Topological magnetoelectric response in passive magnetic devices
Castro Castilla, A. J. & Valido, A. A., 2023, In: Physical Review Applied. 20, 31 p., 034034.Research output: Contribution to journal › Article › peer-review