Persons: Lymanskyi, Dmytro Volodymyrovych

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Lymanskyi, Dmytro Volodymyrovych

Candidate of physico-mathematical sciences (2005)

Speciality:

01.01.02 (Differential equations, dynamical systems, and optimal control)

Birth date:

28.06.1978

E-mail:

Keywords:

differential operator, ellipticity, a priori estimate, weak coercivity, multiplier.

UDC:

517.983.36

Subject:

Subordinated conditions for systems of maximal and minimal differential operators in Sobolev spaces.

Main publications:

D.V. Limanskii, M.M. Malamud, “Elliptic and weakly coercive systems of operators in Sobolev spaces”, Matematicheskii Sbornik, 199:11 (2008), 75–112

	Publications in Math-Net.Ru	Citations
	2024
1.	D. V. Limanskyii, M. M. Malamud, “On subordination conditions for systems of minimal differential operators”, CMFD, 70:1 (2024), 121–149
	2008
2.	D. V. Lymanskyi, M. M. Malamud, “On an Analog of de Leeuw and Mirkil Theorem for Operators with Variable Coeficients”, Mat. Zametki, 83:5 (2008), 783–786 ; Math. Notes, 83:5 (2008), 712–715	1
3.	D. V. Lymanskyi, M. M. Malamud, “Elliptic and weakly coercive systems of operators in Sobolev spaces”, Mat. Sb., 199:11 (2008), 75–112 ; Sb. Math., 199:11 (2008), 1649–1686	3
	2004
4.	D. V. Lymanskyi, “On Domination Conditions for Systems of Minimal Differential Operators Acting in the Space $L_\infty(\mathbb R^n)$”, Mat. Zametki, 75:6 (2004), 841–848 ; Math. Notes, 75:6 (2004), 787–793	1
	2002
5.	D. V. Lymanskyi, “Bounds for Systems of Maximal Differential Polynomials without Mixed Derivatives”, Mat. Zametki, 72:3 (2002), 474–477 ; Math. Notes, 72:3 (2002), 435–439

Presentations in Math-Net.Ru

On subordination conditions for systems of minimal differential operators in the isotropic and anisotropic Sobolev spaces
D. V. Lymanskyi
Seminar of the Mathematical Physics Department of the Institute of Applied Mathematics and Mechanics
September 25, 2024 18:00

О критериях слабой коэрцитивности для систем минимальных дифференциальных операторов в анизотропных пространствах Соболева
M. M. Malamud, D. V. Lymanskyi
VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev
November 18, 2023 16:40

Organisations