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Cabarrubias, Bituin
Associate Professor
Research Interests
Homogenization theory, optimal control theory, partial differential equations.
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Education
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Ph.D. Mathematics (2012)
University of the Philippines Diliman and University of Rouen, France
Dissertation: Existence, uniqueness and homgenization results for a class of nonlinear PDE in perforated domains
Adviser: Dr. Marian Roque and Prof. Patrizia Donato
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M.S. Mathematics (2004)
University of the Philippines Baguio
Thesis: Non-thesis Option
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B.S. Mathematics (2002)
University of the Philippines Baguio
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Publications
- Avila and B. Cabarrubias. Asymptotic behavior of a quasilinear problem with Neumann boundary condition in domains with small holes. Matimyás Matematika, Journal of the Mathematical Society of the Philippines, Vol. 47 No.1 (2024) 1-20.
- Avila and B. Cabarrubias. Periodic unfolding method for domains with very small inclusions. Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 85, pp. 1-37.
- G. Santiago and B. Cabarrubias. Homogenization of a quasilinear problem with semilinear terms in a two-component domain. Applicable Analysis, 102:14, (2023) 3886-3908. DOI: 10.1080/00036811.2022.2101454.
- Avila and B. Cabarrubias. Homogenization of a quasilinear elliptic problem in domains with small holes, Applicable Analysis, 101:15, (2022) 5193-5212, doi:10.1080/00036811.2021.1884226.
- G. Santiago and B. Cabarrubias. On the well-posedness of a quasilinear elliptic problem with semilinear terms in a two-component domain, Matimyás Matematika, Journal of the Mathematical Society of the Philippines, Vol. 44 No. 2 (2021) 1-18.
- Beltran, B. Cabarrubias and M. Roque. On the solvability of a class of a quasilinear elliptic partial differential equation, Philippine Journal of Science, 146(2) (2017), 139-145.
- Avila and B. Cabarrubias. Homogenization of an optimal control problem in fixed domains. Lecture Notes in Engineering and Computer Science 2229, pp.143-147 (2017).
- Cabarrubias and P. Donato. Homogenization of some evolution problems in domains with small holes, Electronic Journal of Differential Equations, Vol. 2016, No. 169 (2016), 1-26.
- Cabarrubias. Homogenization of optimal control problems in perforated domains via periodic unfolding method, Applicable Analysis, 95:11, (2016) 2517-2534, DOI:10.1080/00036811.2015.1094799.
- Cabarrubias. A corrector result for the homogenization of a class of nonlinear PDE in perforated domains, Lecture Notes in Engineering and Computer Science 2223, pp.59-64 (2016).
- Beltran, B. Cabarrubias and M. Roque. On the solution and homogenization of a class of quasilinear elliptic partial differential equation, Proceedings in 10th Taiwan-Philippines Symposium on Analysis, Mar. 30– Apr. 3, 2014, Kaohsiung City, Taiwan.
- Cabarrubias and P. Donato. Homogenization of a quasilinear elliptic problem with nonlinear Robin boundary conditions, Applicable Analysis: An International Journal, Vol.91:6 (2012), 1111-1127.
- Cabarrubias and P. Donato. Existence and uniqueness for a quasilinear elliptic problem with nonlinear Robin conditions, Carpathian J. Math., Vol. 27: 2 (2011), 173-184.
