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# Roque, Marian

Professor
Math Building 265

• Education
• Ph.D. Mathematics (1996)
University of the Philippines Diliman

Dissertation: (dissertation research, University of Essen, Germany)

• M.S. Mathematics (1989)
University of the Philippines Diliman
• B.S. Mathematics (1986)
University of the Philippines Diliman
• Postdoctoral Fellowships
• Department of Applied Physics, Waseda University (1999)
• Publications
1. On the solution and homogenization of a class of quasiliear elliptic PDE (with RJ Beltran, B Cabarrubias), Proceedings of the 10th Taiwan-Phil Symposium on analysis, Feb 2015 Airiti Press.
2. Admissible perturbations of differential expressions with exponentially decaying coefficients preserving the nullities (with J.A. Collera), International Journal of Mathematical Analysis, 7(57-60), 2013, 2803-2810. [SCOPUS-indexed]
3. Sectional curvatures of nearly quasi-Einstein manifolds (with S.K. Hui and R. Lemence), International Journal of Mathematical Analysis, 7(57-60), 2013, 2821-2832 [SCOPUS-indexed]
4. Mathematical analysis of bistability in reduced models of apoptosis, (with J.R.C. Damasco and R.del Rosario), Philippine Science Letters, Volume 6, Nos 1-2 (2013),138-146. [ISI-indexed]
5. On the existence of solutions of nonlinear partial differential equations of the form $$t\frac{du}{dt} = F(t, u, \frac{du}{dx})$$ (with E. Lope and H. Tahara), Journal for Analysis and its Applications; Vol 31(2012), 291-305. [ISI-indexed]
6. On the deficiency index of even order symmetric differential expressions with essential spectrum, (with B. Schultze), Mathematische Nachrichten, Vol. 284 Issue 5-6 (April 2011) pp. 790 – 796. [ISI-indexed]
7. On the solvability of a class of first order singular partial differential equations, (with E.Lope, H.Tahara), Matimyas Matematika, Vol. 34 No. 1-2 (2011), pp. 126-137.
8. On some geometric properties of the sphere Sn (with D. Leyson and R. Lemence), The Journal of Mathematics and Computer Science (Nonlinear Analysis Group, Poznan, Poland), Vol. 2 No. 4 (2011) pp. 607 – 618.
9. Some remarks on manifolds with vanishing Bochner tensor (with E.M. Cariaga and R. Lemence), The Journal of Mathematics and Computer Science (Nonlinear Analysis Group, Poznan, Poland), Vol. 2 No. 4 (2011) pp. 631 – 638.
10. Admissible perturbations of differential expressions with logarithmically decaying coefficients (with A. Mandigma)Proceedings of the 8th Sino-Philippines Symposium in Analysis, Tunghai University, Taichung, Taiwan (2010) pp. 97 – 103.
11. Non limit-point differential expressions with essential spectrum (with B. Schultze), Taiwanese Journal of Mathematics, Vol. 13 No. 3 (June 2009), pp. 997 – 1006. [ISI-indexed]
12. Symmetric differential expressions of order $$2n$$ with essential spectrum and deficiency index $$d(M) = n + 2$$ (with G. Limson), Matimyas Matematika, Vol. 29 Nos. 1-3 (2007) pp. 50 – 56.
13. Sums of lacunary wavelet and Fourier series (with N. Reyes), Proceedings of the 6th Taiwan – Philippine Symposium in Analysis, National Sun Yat-sen University, Taiwan, 2006, pp. 133 – 140.
14. Admissible perturbations of differential expressions in weighted $$\mathcal{L}^2$$–spaces, (with J.C. Agapito, J. Bacani), Matimyas Matematika, Vol. 29 No. 1 (2006) pp. 1 – 9.
15. Approximate fixed points on almost convex sets (with J.E. Lope, R. Rey, P. Sy), Tamkang Journal of Mathematics, Vol. 35 No. 3 (2004) pp. 255 – 259.
16. Admissible perturbations of differential expressions with logarithmically decaying coefficients (with J. Collera, M. Gutierrez), Matimyas Matematika, Vol. 26 Nos. 1-3 (2003) pp.100 – 108.
17. Perturbations of differential expressions with exponentially decaying coefficients, (with R. Victoria) Matimyas Matematika, Vol. 25 (2002) pp. 133 – 142.
18. Nullities of differential expressions with logarithmically decaying coefficients in weighted space, Proceedings of the Asian Mathematical Conference 2000, World Scientific (2002) pp. 488 – 494.
19. Perturbations of a class of differential expressions (with R. Victoria), Proceedings of the International Symposium on Teaching and Applications of Engineering Mathematics, The Hongkong Polytechnic University, 2000.
20. On the essential spectrum of differential expressions with logarithmically decaying coefficients in weighted space, Proc. of the Third Sino-Philippines Symposium in Analysis, 2000, pp. 158 – 166 .
21. Spectral properties of differential expressions with exponentially growing coefficients in weighted space, Proceedings of the International Conference on Inverse Problems, Manila, February 1998, pp. 127 – 136.
22. On the nullities of differential expressions with logarithmically growing coefficients, Matimyas Matematika, Vol. 20 No. 1 (1997) pp. 30 – 40.
23. Regions of spectral stability and instability of a class of differential expressions, Proc. of the Second Taiwan-Philippines Symposium in Analysis, 1997, pp. 89-94.
24. Spectral properties of differential expressions with exponentially and logarithmically growing coefficients, Functional Analysis and Global Analysis: Proc. of the Conference held in Manila, Philippines, Springer-Verlag, 1997, pp. 239 – 249.
25. Spectral properties of differential expressions with exponentially growing coefficients, Proc. of the First Sino-Philippine Symposium in Analysis, 1997, pp. 93 – 100.