Cover Image

Problem with free boundary for the systems of equations of reaction-diffusion type

We consider a problem with free boundary for systems of quasilinear parabolic equations. A part of the boundary conditions are given in the nonlocal form. The a priori estimates of the H¨older norms are established. These estimates are used to prove the existence and uniqueness of the solution.

Saved in:

Bibliographic Details
Date:	2017
Main Authors:	Rasulov, M. S., Takhirov, Zh. O., Расулов, М. С., Тахиров, Ж. О.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2017
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1812
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

Problem with free boundary for the systems of equations of reaction-diffusion type
by: Zh. O. Takhirov, et al.
Published: (2017)

Problem with nonlocal condition on the free boundary
by: Takhirov, Zh. O., et al.
Published: (2012)

Задача типа Флорина для параболического уравнения со степенной нелинейностью
by: Тахиров, Ж.О.
Published: (2018)

Florin-type problem for the parabolic equation with power nonlinearity
by: Zh. O. Takhirov
Published: (2018)

Задача с нелокальным условием на свободной границе
by: Тахиров, Ж.О., et al.
Published: (2012)

Inverse Problem for a Two-Dimensional Diffusion Equation in a Domain with Free Boundary
by: Ivanchov, N. I., et al.
Published: (2013)

Inverse Problem for a Two-Dimensional Diffusion Equation in a Domain with Free Boundary
by: M. I. Ivanchov, et al.
Published: (2013)

Existence and nonexistence of solutions of reaction-diffusion equation with Robin boundary condition
by: E. Öztürk, et al.
Published: (2016)

Existence and nonexistence of solutions of reaction-diffusion equation with Robin boundary condition
by: Öztürk, E., et al.
Published: (2016)

Об учете ошибки цены деления уровня при переработке широтных наблюдений с 1900 по 1988 гг.
by: Расулов, Р.М.
Published: (1991)

Problems with free boundaries for nonlinear parabolic equations
by: Berezovsky, A. A., et al.
Published: (1997)

Inverse Problem with Free Boundary for Heat Equation
by: Ivanchov, N. I., et al.
Published: (2003)

Existence and uniqueness of solution to the Cauchy problem for neutral stochastic differential equation of reaction-diffusion type
by: A. N. Stanzhitskij, et al.
Published: (2016)

Problems with free boundaries and nonlocal problems for nonlinear parabolic equations
by: Berezovsky, A. A., et al.
Published: (1997)

Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix
by: Nikitin, A.G.
Published: (2007)

Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix
by: Nikitin, A. G., et al.
Published: (2007)

Attractors of reaction-diffusion equations with nonmonotone nonlinearity
by: Valero, J.
Published: (2000)

Global attractor for impulsive reaction-diffusion equation
by: Iovane, G., et al.
Published: (2005)

Stefan problem for the laplace equation with regard for the curvature of the free boundary
by: Bazalii, B. V., et al.
Published: (1997)

Group Classification of Systems of Non-Linear Reaction-Diffusion Equations
by: Nikitin, A.G.
Published: (2005)

The classification of the Galilei-invariant systems of nonlinear reaction-diffusion equations
by: T. A. Barannyk
Published: (2015)

Nonclassical symmetries of a system of nonlinear reaction-diffusion equations
by: T. A. Barannyk
Published: (2017)

Conditional Symmetry of a System of Nonlinear Reaction-Diffusion Equations
by: T. A. Barannyk
Published: (2015)

Conditional Symmetry of a System of Nonlinear Reaction-Diffusion Equations
by: Barannyk, T. A., et al.
Published: (2015)

Problems with free boundaries for the nonlinear evolution equation in problems of metallurgy, medicine, ecology
by: Mitropolsky , Yu. A., et al.
Published: (1992)

On One Nonlocal Problem with Free Boundary
by: Berezovsky, A. A., et al.
Published: (2001)

Inverse problem for the strongly degenerate heat equation in a domain with free boundary
by: Ivanchov, N. I., et al.
Published: (2009)

Semilinear parabolic equations with superlinear reaction terms, and application to some convection-diffusion problems
by: Dall'Aglio, A., et al.
Published: (2004)

On the unique solvability of a nonlocal boundary-value problem for systems of loaded hyperbolic equations with impulsive actions
by: Assanova, A. T., et al.
Published: (2017)

Кровнородственные браки и половозрастная структура в группе больных гипертиреоидизмом
by: Рустамов, Н.М., et al.
Published: (2017)

Inverse problem for fractional diffusion equation in Schwarz-type spaces
by: A. O. Lopushanskyi, et al.
Published: (2019)

Finite-Time Stabilization in Problems with Free Boundary for Nonlinear Equations in Media with Fractal Geometry
by: Berezovsky, A. A., et al.
Published: (2005)

Space-time localization in problems with free boundaries for a nonlinear second-order equation
by: Berezovsky, A. A., et al.
Published: (1996)

Boundary value problem for certain classes of non-linear ordinary differential equations with free boundary
by: Tovmasyan, N.E.
Published: (1999)

On one problem with free boundary for a nonlinear system
by: Bazalii, B. V., et al.
Published: (1996)

Elliptic-parabolic equation and the corresponding problem with free boundary I: Elliptic problem with parameter
by: S. P. Degtjarev
Published: (2014)

One-dimensional problems with free boundaries in ecology
by: Berezovs'kyi, M. A., et al.
Published: (1997)

Group analysis of a class of reaction-diffusion equations with variable coefficients
by: O. O. Vanieieva, et al.
Published: (2014)

On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity
by: Stanzhitsky, A.N., et al.
Published: (2009)

Stabilization for a finite time in problems with free boundary for some classes of nonlinear second-order equations
by: Berezansky, Yu. M., et al.
Published: (1999)