Cover Image

Solonnikov parabolic systems with quasihomogeneous structure

We consider a new class of systems of equations that combine the structures of Solonnikov and Éidel’man parabolic systems. We prove a theorem on the reduction of a general initial-value problem to a problem with zero initial data and a theorem on the correct solvability of an initial-value problem i...

Full description

Saved in:

Bibliographic Details
Date:	2006
Main Authors:	Ivasyshen, S. D., Ivasyuk, H. P., Івасишен, С. Д., Івасюк, Г. П.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2006
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3550
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Correct solvability of Solonnikov–Eidel’man parabolic initial-value problems
by: Ivasyshen, S. D., et al.
Published: (2009)

On the Cauchy Problem for $\mathop {2b}\limits^ \to$ -Parabolic Systems with Growing Coefficients
by: Ivasyshen, S. D., et al.
Published: (2000)

On the analyticity of solutions of $\overrightarrow{2b}$-parabolic systems
by: Ivasyshen, S. D., et al.
Published: (2006)

Fundamental solutions of the Cauchy problem for some degenerate parabolic equations of the Kolmogorov type
by: Ivasyshen, S. D., et al.
Published: (2011)

Optimal matching parameters of the inverse Hilbert-type integral inequality with quasihomogeneous kernels and their applications
by: Y. Hong, et al.
Published: (2024)

Optimal matching parameters of the inverse Hilbert-type integral inequality with quasihomogeneous kernels and their applications
by: Hong, Yong, et al.
Published: (2024)

Cauchy problem for a class of degenerate kolmogorov-type parabolic equations with nonpositive genus
by: Ivasyshen, S. D., et al.
Published: (2010)

Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type with positive genus
by: Ivasyshen, S. D., et al.
Published: (2009)

Параболічні за Солонниковим системи квазіоднорідної структури
by: Івасишен, С.Д., et al.
Published: (2006)

Про фундаментальні розв’язки задачі Коші для рівнянь Фоккера-Планка-Колмогорова деяких вироджених дифузійних процесів
by: Івасишен, С.Д., et al.
Published: (2011)

Початковi задачi для параболiчних систем Солонникова–Ейдельмана
by: Івасишен, С.Д., et al.
Published: (2007)

Про коректну розв'язність параболічних початкових задач Солонникова–Ейдельмана в узагальнених просторах Соболєва
by: Івасишен, С.Д., et al.
Published: (2010)

Fundamental solution of the Cauchy problem for one parabolic equation with increasing lowest coefficients
by: S. D. Ivasyshen, et al.
Published: (2014)

Integral representation of solutions of one parabolic equation with growing coefficients in the group of minor terms
by: S. D. Ivasyshen, et al.
Published: (2015)

Complete analytical description of the fundamental solution of the one parabolic equation with increasing coefficients
by: T. O. Zabolotko, et al.
Published: (2014)

The fundamental solution of the Cauchy problem for degenerated parabolic Kolmogorov type equations of arbitrary order
by: S. D. Ivasyshen, et al.
Published: (2019)

Green`s matrix for model boundary value problem with vector parabolic weight
by: S. D. Ivasyshen, et al.
Published: (2017)

Correct solvability of model boundary-value problems with initial conditions and without them for a system parabolic in the sense of Eidelman in Hцlder spaces of increasing functions
by: N. I. Turchyna, et al.
Published: (2019)

Degenerate parabolic system of diffusion type with inertia
by: H. P. Malytska, et al.
Published: (2018)

Systems of parabolic variational inequalities without initial conditions
by: Lavrenyuk, S. P., et al.
Published: (1997)

Essential Parabolic Structures and Their Infinitesimal Automorphisms
by: Alt, J.
Published: (2011)

Properties of the fundamental solutions and uniqueness theorems for the solutions of the Cauchy problem for one class of ultraparabolic equations
by: Ivasyshen, S. D., et al.
Published: (1998)

Global attractor of an impulsive parabolic system
by: M. O. Perestiuk, et al.
Published: (2017)

Numerical calculation of parabolic and parabolic through concentrator parameters for the solar power system based on Stirling engine
by: V. P. Studenets, et al.
Published: (2019)

Boundedness of weak solutions of a nondiagonal parabolic system of two equations
by: Portnyahin, D. V., et al.
Published: (2009)

Cauchy problem for parabolic systems with pulse action
by: Luchko, V. M., et al.
Published: (2006)

On the problem without initial conditions for a nonlinear degenerating parabolic system
by: Pukach, P. Ya., et al.
Published: (1994)

Regularity conditions for the solutions to some parabolic systems
by: Diachenko, O. V., et al.
Published: (2022)

Some inverse problems for strong parabolic systems
by: Akhundov, A.Ya.
Published: (2006)

Some inverse problems for strong parabolic systems
by: Akhundov, A. Ya., et al.
Published: (2006)

Regularity conditions for the solutions to some parabolic systems
by: O. V. Diachenko, et al.
Published: (2022)

Boundedness of weak solutions of a nondiagonal singular parabolic system of three equations
by: Portnyagin, D. V., et al.
Published: (2006)

In bifurcated solution of the Cauchy problem for one class of parabolic systems
by: Lenуuk, M. P., et al.
Published: (1970)

NUMERICAL CALCULATION OF PARABOLIC AND PARABOLIC THROUGH CONCENTRATOR PARAMETERS FOR THE SOLAR POWER SYSTEM BASED ON STIRLING ENGINE
by: Stoudenets, V., et al.
Published: (2019)

Nonlocal Parabolic Problem with Degeneration
by: Isaryuk, I. M., et al.
Published: (2014)

Initial boundary-value problem for parabolic systems in dihedral domains
by: Duong, P. T., et al.
Published: (2020)

Systems parabolic in Petrovskii's sense in Hörmander spaces
by: Los’, V. M., et al.
Published: (2017)

Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems
by: Lieberman, G.M.
Published: (2006)

Holder regularity for the gradients of solutions of degenerate parabolic systems
by: Lieberman, G.M.
Published: (2006)

On problems without initial conditions for singular parabolic systems
by: M. I. Konarovska
Published: (2012)