Cover Image

Determination of the Free Term and Leading Coefficient in a Parabolic Equation

We consider the inverse problem of finding the unknown time-dependent leading coefficient and the free term in a parabolic equation. Boundary conditions and overdetermination conditions are local. We find conditions for the uniqueness and local existence.

Saved in:

Bibliographic Details
Date:	2003
Main Authors:	Bereznyts'ka, I. B., Березницька, І. Б.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2003
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3893
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

Determination of the Lowest Coefficient for a One-Dimensional Parabolic Equation in a Domain with Free Boundary
by: H. A. Snitko
Published: (2013)

Determination of the Lowest Coefficient for a One-Dimensional Parabolic Equation in a Domain with Free Boundary
by: Snitko, H. A., et al.
Published: (2013)

Determination of the time-dependent functions in the minor coefficient in a parabolic equation in free boundary domain
by: H. A. Snitko
Published: (2013)

Simultaneous Determination of Two Coefficients of a Parabolic Equation in the Case of Nonlocal and Integral Conditions
by: Ivanov, M. I., et al.
Published: (2001)

Inverse problem of simultaneous determination of two coefficients in a parabolic equation
by: Ivanchov, N. I., et al.
Published: (2000)

On a coefficient inverse problem for a parabolic equation in a domain with free boundary
by: H. A. Snitko
Published: (2014)

Determination of the lower coefficient in a parabolic equation with strong power degeneration
by: N. M. Huzyk
Published: (2016)

Determination of the lower coefficient in a parabolic equation with strong power degeneration
by: Huzyk, N. M., et al.
Published: (2016)

Singularly perturbed multidimensional parabolic equation with rapidly oscillating free term
by: Omuraliev , A. S., et al.
Published: (2021)

Inverse coefficient problem for a two-dimensional parabolic equation in a domain with free boundary
by: H. A. Snitko
Published: (2016)

Singularly perturbed multidimensional parabolic equation with rapidly oscillating free term
by: A. S. Omuraliiev, et al.
Published: (2021)

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

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)

Inverse problem of finding the time-dependent functions in the minor coefficient in a parabolic equation in free boundary domain
by: H. A. Snitko
Published: (2013)

Determination of the Coefficient of a Semilinear Parabolic Equation for a Boundary-Value Problem with Nonlinear Boundary Condition
by: Ya. Akhundov, et al.
Published: (2014)

Determination of the coefficient of a semilinear parabolic equation for a boundary-value problem with nonlinear boundary condition
by: Akhundov, A.Ya., et al.
Published: (2014)

Inverse coefficient problem fоr a two-dimensional parabolic equation in a domain with free boundary
by: Snitko, H. A., et al.
Published: (2016)

Determination of the Coefficient of a Semilinear Parabolic Equation for a Boundary-Value Problem with Nonlinear Boundary Condition
by: Akhundov, A. Ya., et al.
Published: (2014)

Nonlocal boundary-value problem for parabolic equations with variable coefficients
by: Zadorozhna, N. M., et al.
Published: (1995)

A Problem with Condition Containing an Integral Term for a Parabolic-Hyperbolic Equation
by: Kuz, A. M., et al.
Published: (2015)

On the problem of determining the parameter of a parabolic equation
by: Ashyralyev, A.
Published: (2010)

On the problem of determining the parameter of a parabolic equation
by: Ashyralyev, A., et al.
Published: (2010)

Regularity of a boundary point for singular parabolic equations with measurable coefficients
by: Skrypnik, I. I., et al.
Published: (2004)

Regularity of a Boundary Point for Degenerate Parabolic Equations with Measurable Coefficients
by: Skrypnik, I. I., et al.
Published: (2000)

A Problem with Condition Containing an Integral Term for a Parabolic-Hyperbolic Equation
by: A. M. Kuz, et al.
Published: (2015)

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

The fundamental solution of the Caushy problem with essential coefficients for parabolic equations
by: V. A. Litovchenko, et al.
Published: (2014)

Integral manifolds and exponential splitting of linear parabolic equations with rapidly varying coefficients
by: Belan, E. P., et al.
Published: (1995)

Order reduction for a system of stochastic differential equations with a small parameter in the coefficient of the leading derivative. Estimate for the rate of convergence
by: Bondarev, B. V., et al.
Published: (2006)

A necessary condition for the regularity of a boundary point for degenerating parabolic equations with measurable coefficients
by: Skrypnik, I. I., et al.
Published: (2004)

Elliptic-parabolic equation and the corresponding problem with free boundary II: A smooth solution
by: S. P. Degtjarev
Published: (2014)

Two-Term Differential Equations with Matrix Distributional Coefficients
by: O. O. Konstantinov
Published: (2015)

Two-Term Differential Equations with Matrix Distributional Coefficients
by: Konstantinov, O.O.
Published: (2015)

Two-Term Differential Equations with Matrix Distributional Coefficients
by: Konstantinov, O. O., et al.
Published: (2015)

Cauchy problem for an essentially infinite-dimensional parabolic equation with variable coefficients
by: Bogdanskii, Yu. V., et al.
Published: (1994)

Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term
by: Sapronov, D. A., et al.
Published: (2001)

A priori estimates of solutions of linear parabolic problems with coefficients from Sobolev spaces
by: Romanenko, I. B., et al.
Published: (1999)

Regularization of two-term differential equations with singular coefficients by quasiderivatives
by: Goryunov, A. S., et al.
Published: (2011)

Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem
by: Bazaliy, B.V., et al.
Published: (2011)

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