Persons: Litovchenko, Vladislav Antonovich

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Litovchenko, Vladislav Antonovich

Associate professor

Doctor of physico-mathematical sciences (2009)

Speciality:

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

Birth date:

4.04.1969

E-mail:

Keywords:

Cauchy problem, pseudo-differential operators, fundamental solution, multiplier, distributions.

UDC:

517.55, 517.928, 517.956.4

Subject:

Correct solvability of Cauchy problem for parabolic differential and pseudo-differential systems.

Main publications:

Litovchenko V.A., “Zadacha Koshi dlya odnogo klassa parabolicheskikh psevdodifferentsialnykh sistem s negladkimi simvolami”, Sib. mat. zhurn., 49:2 (2008), 375–394
Litovchenko V.A., “Zadacha Koshi dlya odnogo klassa evolyutsionnykh sistem parabolicheskogo tipa s neogranichennymi koeffitsientami”, Differents. uravneniya, 44:6 (2008), 812–830
Litovchenko V.A., “Zadacha Koshi dlya parabolicheskikh sistem s operatorami svertki v periodicheskikh prostranstvakh”, Mat. zametki, 82:6 (2007), 850–872
Litovchenko V.A., “Zadacha Koshi dlya $\{\ora p,\ora h\}$-parabolicheskikh uravnenii s koeffitsientami, zavisyaschimi ot vremeni”, Mat. zametki, 77:3 (2005), 395–411
Litovchenko V.A., “Zadacha Koshi dlya parabolicheskikh po Shilovu uravnenii s koeffitsientami, zavisyaschimi ot vremeni”, Sib. mat. zhurn., 45:4 (2004), 809–821

	Publications in Math-Net.Ru	Citations
	2014
1.	V. A. Litovchenko, I. M. Dovzhytska, “Stabilization of solutions to Shilov-type parabolic systems with nonnegative genus”, Sibirsk. Mat. Zh., 55:2 (2014), 341–349 ; Siberian Math. J., 55:2 (2014), 276–283	10
	2012
2.	V. A. Litovchenko, E. B. Nastasiĭ, “Degenerate parabolic systems of vector order Kolmogorov-type equations”, Sibirsk. Mat. Zh., 53:1 (2012), 148–164 ; Siberian Math. J., 53:1 (2012), 119–133	2
	2008
3.	V. A. Litovchenko, “The Cauchy problem for one class of parabolic pseudodifferential systems with nonsmooth symbols”, Sibirsk. Mat. Zh., 49:2 (2008), 374–393 ; Siberian Math. J., 49:2 (2008), 300–316	7
	2007
4.	V. A. Litovchenko, “Cauchy Problem for Parabolic Systems with Convolution Operators in Periodic Spaces”, Mat. Zametki, 82:6 (2007), 850–872 ; Math. Notes, 82:6 (2007), 766–786
	2005
5.	V. A. Litovchenko, “Cauchy problem for $\{\vec p;\vec h\}$-parabolic equations with time-dependent coefficients”, Mat. Zametki, 77:3 (2005), 395–411 ; Math. Notes, 77:3 (2005), 364–379	15
	2004
6.	V. A. Litovchenko, “The Cauchy problem for Shilov parabolic equations”, Sibirsk. Mat. Zh., 45:4 (2004), 809–821 ; Siberian Math. J., 45:4 (2004), 669–679	12

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