Cover Image

Correct solvability of Solonnikov–Eidel’man parabolic initial-value problems

We consider initial-value problems for a new class of systems of equations that combine the structures of Solonnikov parabolic systems and Eidel’man parabolic systems. We prove a theorem on the correct solvability of these problems in Hölder spaces of rapidly increasing functions and obtain an estim...

Full description

Saved in:

Bibliographic Details
Date:	2009
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 2009
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3048
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

Cauchy problem for a semilinear Éidel’man parabolic equation
by: Korkuna, O. E., et al.
Published: (2008)

Solonnikov parabolic systems with quasihomogeneous structure
by: Ivasyshen, S. D., et al.
Published: (2006)

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)

Samuil Davidovich Eidelman
by: Yu. M. Berezanskyi, et al.
Published: (2016)

Inverse problem for the weakly nonlinear Eidel&#039;man-type equation with unknown minor coefficient
by: N. P. Protsakh
Published: (2020)

List of publications by Samuil Davidovich Eidelman
by: Yu. M. Berezanskyi, et al.
Published: (2016)

Classical Solvability of the First Initial Boundary-Value Problem for a Nonlinear Strongly Degenerate Parabolic Equation
by: Bazalii, B. V., et al.
Published: (2004)

Correct solvability of the difference Pade schemes for parabolic equations in Holder spaces
by: Ashyraliev, A., et al.
Published: (1992)

On the Correct Solvability of One Cauchy Problem
by: Litovchenko, V. A., et al.
Published: (2002)

Initial boundary-value problem for parabolic systems in dihedral domains
by: Ch. Zyong
Published: (2020)

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

On solvability of the problem without initial conditions for strongly parabolic systems in a non-cylindrical domain
by: Gorshkov, A. I., et al.
Published: (1971)

Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion
by: Krasnoschok, M.V.
Published: (2016)

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

Classical solutions of parabolic initial-boundary value problems and Hormander spaces
by: V. M. Los
Published: (2016)

Classical solutions of parabolic initial-boundary value problems and Hormander spaces.
by: Los’, V. M., et al.
Published: (2016)

Stabilization of solutions to the initial boundary–value problems for quasilinear parabolic equations
by: Tedeev, A. F., et al.
Published: (1992)

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

General conditions for the unique solvability of initial-value problem for nonlinear functional differential equations
by: Dil'na, N. Z., et al.
Published: (2008)

On the Asymptotic Behavior of Solutions of the First Initial Boundary-Value Problems for Parabolic Equations
by: Nguyen, Manh Hung, et al.
Published: (2003)

On the Asymptotic Behavior of Solutions of the First Initial Boundary-Value Problems for Parabolic Equations
by: Nguyen Manh Hung, et al.
Published: (2003)

Initial-boundary value problems for anisotropic elliptic-parabolic-pseudoparabolic equations with variable exponents of nonlinearity
by: M. Bokalo, et al.
Published: (2014)

Initial-boundary value problems for anisotropic elliptic-parabolic-pseudoparabolic equations with variable exponents of nonlinearity
by: Bokalo, M., et al.
Published: (2014)

Correct Solvability of the Cauchy Problem for One Equation of Integral Form
by: Litovchenko, V. A., et al.
Published: (2004)

Properties of fundamental solutions, theorems on integral representations of solutions and correct solvability of the Cauchy problem for ultraparabolic Kolmogorov-type equations with two groups of spatial variables of degeneration
by: S. D. Ivasyshen, et al.
Published: (2018)

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

On the existence of initial values of solutions of weakly nonlinear parabolic equations
by: Skrypnik, I. I., et al.
Published: (1993)

Local solvability of fully nonlinear parabolic problems of higher order
by: Romanenko, I.B.
Published: (2000)

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)

The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term
by: G. Yagub, et al.
Published: (2018)

The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term
by: Yagub, G., et al.
Published: (2018)

Solvability of boundary-value problems for quasilinear elliptic and parabolic equations in unbounded domains in classes of functions growing at infinity
by: Shishkov, A. E., et al.
Published: (1995)

On correctness of the problems of nonlinear regression in case of monitoring natural and man-made objects
by: Mostovoy, V. S., et al.
Published: (2012)

On correctness of the problems of nonlinear regression in case of monitoring natural and man-made objects
by: V. S. Mostovoj, et al.
Published: (2012)

Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions
by: A. L. Gladkov, et al.
Published: (2016)

Theorems on isomorphisms for some parabolic initial-boundary-value problems in Hörmander spaces: limiting case
by: V. M. Los
Published: (2016)

Theorems on isomorphisms for some parabolic initial-boundary-value problems in Hörmander spaces: limiting case
by: Los’, V. M., et al.
Published: (2016)

Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations
by: Bazalii, B. V., et al.
Published: (1993)

Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions
by: Gladkov, A. L., et al.
Published: (2016)