head of laboratory, at Institute of Mathematics of the National Academy of Sciences of Ukraine, Ukraine.
Prof. Volodymyr Mikhailets is a distinguished mathematician specializing in Partial Differential Equations (PDEs), Functional Analysis, and Mathematical Physics. With an academic career spanning over five decades, he has significantly contributed to spectral theory, interpolation methods, and Hilbert scales. Currently, he serves as a Visiting Professor at King’s College London and leads the Laboratory of PDEs at the Institute of Mathematics, National Academy of Sciences of Ukraine. His work has had a profound impact on both theoretical mathematics and applied mathematical models.
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Education 🎓
Prof. Mikhailets earned his Ph.D. in Mathematics (1976) and later a Doctor of Physical and Mathematical Sciences (Dr. habil., 1990) from the Institute of Mathematics, NAS of Ukraine. He completed his M.Sc. (1972) and B.Sc. (1971) in Mathematics with honors from Taras Shevchenko National University of Kyiv.
Professional Experience 💼
Prof. Mikhailets has held several key academic and research positions. Since 2019, he has been the Head of the Laboratory of PDEs at the Institute of Mathematics, NAS of Ukraine. He has served as a researcher at the Institute of Mathematics, Czech Academy of Sciences (2022–2024) and was a professor at the National Technical University of Ukraine (2013–2022). His previous positions also include professorships in Poland and research roles at NAS Ukraine since 1975.
Research Interests 🌍
His research primarily revolves around functional analysis, spectral theory, interpolation spaces, and differential equations. He has made significant advancements in the theory of Hilbert scales, elliptic and parabolic problems, and spectral properties of differential operators. His contributions extend to mathematical physics, particularly in the study of Schrödinger operators and eigenvalue problems.
Awards & Honors 🏆
Throughout his career, Prof. Mikhailets has been recognized for his outstanding contributions to mathematics. He has received multiple accolades from the National Academy of Sciences of Ukraine and has been invited to prestigious international research institutes in Poland, the Czech Republic, and the United Kingdom. His work continues to influence modern mathematical theory and applications.
Top Noted Publications 📚
Hörmander Spaces, Interpolation, and Elliptic Problems – V.A. Mikhailets, A.A. Murach – 127 citations – 2014
The Refined Sobolev Scale, Interpolation, and Elliptic Problems – V.A. Mikhailets, A.A. Murach – 102 citations – 2012
Improved Scales of Spaces and Elliptic Boundary-Value Problems II – V.A. Mikhailets, A.A. Murach – 81 citations – 2006
Interpolation with a Function Parameter and Refined Scale of Spaces – V.A. Mikhailets, A.A. Murach – 73 citations – 2007
Interpolation Hilbert Spaces Between Sobolev Spaces – V.A. Mikhailets, A.A. Murach – 62 citations – 2011
Conclusion
Dr. Mikhailets Volodymyr is a highly accomplished researcher in mathematics with a strong international reputation, leadership experience, and significant contributions to PDEs and mathematical physics. While his impact within mathematics is outstanding, his influence in broader interdisciplinary applications and global research awards could be expanded.