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:

1. Litovchenko V.A., “Zadacha Koshi dlya odnogo klassa parabolicheskikh psevdodifferentsialnykh sistem s negladkimi simvolami”, Sib. mat. zhurn., 49:2 (2008), 375–394
2. Litovchenko V.A., “Zadacha Koshi dlya odnogo klassa evolyutsionnykh sistem parabolicheskogo tipa s neogranichennymi koeffitsientami”, Differents. uravneniya, 44:6 (2008), 812–830
3. Litovchenko V.A., “Zadacha Koshi dlya parabolicheskikh sistem s operatorami svertki v periodicheskikh prostranstvakh”, Mat. zametki, 82:6 (2007), 850–872
4. Litovchenko V.A., “Zadacha Koshi dlya $\{\ora p,\ora h\}$-parabolicheskikh uravnenii s koeffitsientami, zavisyaschimi ot vremeni”, Mat. zametki, 77:3 (2005), 395–411
5. 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

Personal pages:

• 
• 

Organisations:

• Chernivtsi National University named after Yuriy Fedkovych