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

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.
[email protected]

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