Anahit Galstyan
Professor
Office:
Phone: (956) 6653556
Email: anahit.galstyan@utrgv.edu
Dr. Anahit Galstyan
Areas of Expertise
 Local and global solvability for semilinear hyperbolic equations, representations of the solutions of the equations of mathematical cosmology
Education
 PhD, Mathematics, University of Cincinnati, 2005
 Candidate of Sciences, Mathematics, Yerevan State University, 1993
 MS, Mathematics and Mathematics Education, Yerevan State University, 1985
Currently Teaching
 MATH 6361 90L  Partial Differential Equations:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 3341 05  Diff Equations:
 Syllabus
 Course Evaluations
 Textbooks
Selected Publications
 Anahit Galstyan. "Semilinear Wave Equation in the de Sitter Spacetime with Hyperbolic Spatial Part," Springer International Publishing, June 2017.
 Anahit Galstyan and Karen Yagdjian. "Global in time existence of selfinteracting scalar field in de Sitter spacetimes," Nonlinear Analysis: Real World Applications, Elsevier 34, (April (2nd Quarter/Spring) 2017): 110139.
 Anahit Galstyan and Tamotu Kinoshita. "Representation of Solutions for 2nd Order Onedimensional Model Hyperbolic Equations," Journal d'Analyse Mathematique, Springer 130, (November 2016): 339356.
 Anahit Galstyan and Karen Yagdjian. "Global solutions for semilinear KleinGordon equation in FLRW spacetimes," Nonlinear Analysis. Theory, Methods & Applications, Elsevier 113, (2015): 339356 .
 Anahit Galstyan. "Microlocal analysis for hyperbolic equations in Einsteinde~Sitter Spacetime," Birkhauser series Trends in Mathematics/Research Prospectives, 2015: 225232.
 Anahit Galstyan and Karen Yagdjian. "Microlocal Analysis for Waves Propagating in Einstein & de Sitter Spacetime," Mathematical Physics, Analysis and Geometry, Springer 17, (2014): 223246 .
 Anahit Galstyan. "Exponential function of pseudodifferential operators in Gevrey spaces," Journal of Integral Equations and Operator Theory, Springer 70, (2011): 281300.
 Anahit Galstyan, Tamotu Kinoshita, and Karen Yagdjian. "A Note on Wave Equation in Einstein & de Sitter Spacetime," Journal of Mathematical Physics, American Institute of Physics 51, (2010): 052501 0525018.
 Anahit Galstyan. "Lp  Lq decay estimates for the KleinGordon equation in Antide Sitter Spacetime," Rendiconti Istit. Matematico dell’ Universita’ e del Trieste 42, (2010): 2750.
 Anahit Galstyan, Tamotu Kinoshita, and Karen Yagdjian. "The wave equation in the Einstein and de Sitter spacetime," London: Progress in Analysis and Its Applications: Proceedings of the 7th International ISAAC Congress Imperial College, 2010.
Selected Grants and Fellowships
 Virgil Pierce. Active Learning for PreCalculus, and Calculus Courses at UTRGV, SEMINAL project with the Association of Public and Landgrant Universities, NSF IUSE, $93,300.00 (January 2018  December 2020)
 Anahit Galstyan. Hyperbolic Partial Differential Equation in Curved Spacetime, NSFAWM, $3,500.00 (June 1, 2015  August 31, 2015)
 Anahit Galstyan. Evolution Equations in the Einstein & de Sitter spacetime, Faculty Development Council, $1,600.00 ( 2013)
 Anahit Galstyan. Undergraduate Research Initiative Grant, UTPA, $2,000.00 (November 2012  May 2013)
 Anahit Galstyan. Evolution Equations in the de Sitter model of universe, NSFAWM, $1,970.00 (June 1, 2012  August 31, 2012)
 Anahit Galstyan. Undergraduate Research Initiative Grant, UTPA, $2,000.00 (November 2008  May 2009)
 Anahit Galstyan. Evolution Equations on the de Sitter spacetime, Faculty Development Council, $2,980.00 ( 2008)
Selected Presentations
 Anahit Galstyan. "Finite lifespan of solutions of the semilinear wave equation in the Einsteinde Sitter spacetime," 11th International ISAAC Congress, Vaxjo, Sweden (August 2017)
 Anahit Galstyan. "Semilinear Wave Equation in the de Sitter Spacetime with Hyperbolic Spatial Part," IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, Georgia (March 2017)
 Anahit Galstyan. "Semilinear Wave Equation in the de Sitter Spacetime with Hyperbolic Spatial Part," XVI International Conference on Hyperbolic Problems: Theory, Numeric, Applucations, Aachen, Germany (August 2016)
 Anahit Galstyan. "Lifespan of the Solutions of the Semilinear Wave Equation in the De Sitter Spacetime," TU Bergakademie Freiberg, Freiberg, Germany (July 2016)
 Anahit Galstyan. "Semilinear Wave Equation in the de Sitter Spacetime with Hyperbolic Spatial Part," GeorgAugust Universität Göttingen, Göttingen, Germany (July 2016)
 Anahit Galstyan. "Lifespan of the Solutions of the Semilinear Wave Equation in the De Sitter Spacetime," NSF/CBMS regional research conference in the mathematical sciences. “Discrete Painleve Equations", Edinburg, United States (May 2016)
 Anahit Galstyan. "Semilinear Hyperbolic Equations in De Sitter Spacetime," 10th International ISAAC Congress/VI.2 Dispersive Equations, Macau, China (August 2015)
 Anahit Galstyan. "Semilinear KleinGordon equation in FLRW spacetimes," Joint Annual meetings of the American Mathematical Society (AMS) and Mathematical Association of America (MAA), San Antonio, TX (January 2015)
 Anahit Galstyan. "Global solutions for semilinear KleinGordon equation in FLRW spacetimes," 10th AIMS International Conference on Dyn. Systems, Diff. Equations and Applications, Madrid, Spain (July 2014)
 Anahit Galstyan. "Microlocal Analysis for Evolution Equations in the Einstein de~Sitter Spacetime ," 10th AIMS International Conference on Dyn. Systems, Diff. Equations and Applications, Madrid, Spain (July 2014)
Current Courses
 MATH 6361 90L  Partial Differential Equations:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 3341 05  Diff Equations:
 Syllabus
 Course Evaluations
 Textbooks
Previous Courses

SPRING 2018
 MATH 3341 05  Diff Equations:
 Syllabus
 Course Evaluations
 MATH 6361 90L  Partial Differential Equations:
 Syllabus
 Course Evaluations

FALL 2017
 MATH 2413 09  Calculus I:
 Syllabus
 Course Evaluations
 MATH 2413 09  Calculus I:
 Syllabus
 Course Evaluations
 MATH 2415 02  Calculus III:
 Syllabus
 Course Evaluations
 MATH 2415 02  Calculus III:
 Syllabus
 Course Evaluations

SPRING 2017
 MATH 2413 09  Calculus I:
 Syllabus
 Course Evaluations

FALL 2016
 MATH 2413 01  Calculus I:
 Syllabus
 Course Evaluations
 MATH 2413 03  Calculus I:
 Syllabus
 Course Evaluations

SPRING 2016
 MATH 6361 01  Partial Differential Equations:
 Syllabus
 Course Evaluations
 MATH 6361 02  Partial Differential Equations:
 Syllabus
 Course Evaluations
 MATH 6361 90L  Partial Differential Equations:
 Syllabus
 Course Evaluations