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Indian Institute of Information Technology, Lucknow
भारतीय सूचना प्रौद्योगिकी संस्थान, लखनऊ
(An Institute of National Importance by the Act of Parliament)

Assistant Professor

Dr. Indira Mishra

indira@iiitl.ac.in
Lucknow, India.

Dr. Indira Mishra

Assistant Professor, IIITL

Research Interests

  • Homogenization theory
  • Elliptic Partial Differential Equations
  • Optimal controls
  • Almost periodic solutions

Member of Professional Society

  • Member of American Mathematical Society (AMS), 2019-2020.

Review Committee Member

  • Reviewer of Mathscinet, American Mathematical Society (AMS).

Postdoc Experiences

  • Women Scientist-A, Indian Institute of Science Education and Research, Bhopal, India (2018-2020).
  • Postdoctoral Fellow, Indian Institute of Science Education and Research, Bhopal, India (2015-2017).
  • Visiting Researcher, University of Chile, Santiago, Chile (2014-2015).
  • Postdoctoral Fellow, The Institute of Mathematical Sciences, Chennai, India (2013-2014)

Education

  • Ph. D. (Partial Differential Equations), Indian Institute of Technology, Kanpur; 2013.
  • M. Sc. (Mathematics), University of Lucknow (2004-2006).
  • B. Sc., University of Lucknow (2001-2004).

Awards/Recognitions

  • Women Scientist-A 2018, Department of Science and Technology, Govt. of India.
  • GATE (Mathematics), 2009; CSIR-UGC JRF, 2009; NBHM Ph. D. Fellowship, 2007, CSIR-UGC NET (LS), 2006.

Course Taught

  • Partial Differential Equations, Aug-Nov 2017, IISER Bhopal.

Research Publications

(International Journals)
  • I. Mishra, Almost automorphy and Riccati equation, Differ. Equ. Dyn. Syst. 27 (2019) pp. 379-394.
  • I. Mishra, M. Sharma, Approximate controllability of a non-autonomous differential equation, Proc. Indian Acad. Sci. Math. Sci. 128 (2018), pp. 1-13.
  • N. Agarwal, C. Conca, I. Mishra, Approximate controllability of a semilinear elliptic problem with Robin condition in a periodically perforated domain, Electron. J. Differential Equations 2017 (2017), No. 186, pp. 1-24.
  • C. Conca, P. Donato, E. C. Jose, I. Mishra, Asymptotic analysis of optimal controls of a semilinear elliptic problem in a perforated domain, J. Ramanujan Math. Soc. 31, No. 3 (2016), pp. 265-305.
  • I. Mishra, D. Bahuguna, Weighted pseudo almost automorphic solution of an integro-differential equation, with weighted stepanov-like pseudo almost au- tomorphic forcing term, Appl. Math. Comput. 219 (2013), pp. 5345-5355.
  • I. Mishra, D. Bahuguna, Almost automorphic mild solutions of hyperbolic evolution equations with stepanov-like almost automorphic forcing term, Electron. J. Differential Equations 2012 (2012), pp. 1-11.
  • I. Mishra, D. Bahuguna, Weighted pseudo almost automorphic solution of an integro-differential equation with weighted stepanov-like almost automorphic forcing term, Electron. J. Differential Equations 2012 (2012), pp. 1-11.
  • I. Mishra, D. Bahuguna, Existence of almost automorphic solutions of neutral differential equations, J. Nonlinear Evol. Equ. Appl. 2012 (2012), pp. 17-28.
  • I. Mishra, C-semigroups and almost periodic solution of non-autonomous evolution equations, Int. J. Evol. Equ. 6 (2011), pp. 265-278.

Some Selected Talks:

  • Homogenization of an elliptic problem, Invited talk, Inhouse Symposium, IISER Bhopal, March 6, 2020.
  • Approximate controllability and asymptotic behaviour of optimal controls, Invited talk, Inhouse Symposium, IISER Bhopal, Feb 3, 2018.
  • Almost automorphy and Riccati equation, Invited talk, LXXXIII Annual Chilean Mathematical Society Meeting, Termas de Quinamávida, VII-Región, Chile, Dec 4-6, 2014.
  • C-semigroup and almost periodic solutions, IMSc Chennai, India, Feb. 2014.
  • Pseudo almost periodic and pseudo almost automorphic solutions to a class of Partial differential equations, Indo-German Conference on Modelling, Simulation and Optimization in Applications, Institute IWAR, Darmstadt, Germany Sept. 5-7, 2012.
  • C-semigroup and Almost Periodic Solution of Non-autonomous Evolution Equation, National conference on recent advances in mathematics (NCRAM)–2012, Feb. 2-4, 2012, Univ. of Lucknow, India.

Contact

Department of Mathematics,
Indian Institute of Information Technology,
Lucknow, India.
indira@iiitl.ac.in

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