Anahit   Galstyan

Professor  

Office: EMAGC 3.714
Phone: (956) 665-3556
Email: anahit.galstyan@utrgv.edu

Dr. Anahit Galstyan





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 self-interacting scalar field in de Sitter spacetimes," Nonlinear Analysis: Real World Applications, Elsevier 34, (April (2nd Quarter/Spring) 2017): 110-139.

  • Anahit Galstyan and Tamotu Kinoshita. "Representation of Solutions for 2nd Order One-dimensional Model Hyperbolic Equations," Journal d'Analyse Mathematique, Springer 130, (November 2016): 339-356.

  • Anahit Galstyan and Karen Yagdjian. "Global solutions for semilinear Klein-Gordon equation in FLRW spacetimes," Nonlinear Analysis. Theory, Methods & Applications, Elsevier 113, (2015): 339-356 .

  • Anahit Galstyan. "Microlocal analysis for hyperbolic equations in Einstein-de~Sitter Spacetime," Birkhauser series Trends in Mathematics/Research Prospectives, 2015: 225-232.

  • Anahit Galstyan and Karen Yagdjian. "Microlocal Analysis for Waves Propagating in Einstein & de Sitter Spacetime," Mathematical Physics, Analysis and Geometry, Springer 17, (2014): 223-246 .

  • Anahit Galstyan. "Exponential function of pseudo-differential operators in Gevrey spaces," Journal of Integral Equations and Operator Theory, Springer 70, (2011): 281-300.

  • 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 Klein-Gordon equation in Anti-de Sitter Spacetime," Rendiconti Istit. Matematico dell’ Universita’ e del Trieste 42, (2010): 27-50.

  • 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 Pre-Calculus, 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, NSF-AWM, $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, NSF-AWM, $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 Einstein-de 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," Georg-August 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 Klein-Gordon 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 Klein-Gordon 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 4342 01I - Complex Variables:
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Course Evaluations
Textbooks
MATH 2413 08 - Calculus I:
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MATH 2413 08 - Calculus I:
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MATH 4342 02I - Complex Variables:
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Course Evaluations
Textbooks

Previous Courses