Inverse Problem with Free Boundary for Heat Equation
We establish conditions for the existence and uniqueness of a solution of the inverse problem for a one-dimensional heat equation with unknown time-dependent leading coefficient in the case where a part of the boundary of the domain is unknown.
Saved in:
| Date: | 2003 |
|---|---|
| Main Authors: | Ivanchov, N. I., Іванчов, М. І. |
| 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/3965 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Inverse problem for the strongly degenerate heat equation in a domain with free boundary
by: Ivanchov, N. I., et al.
Published: (2009)
by: Ivanchov, N. I., et al.
Published: (2009)
Inverse Problem for a Two-Dimensional Diffusion Equation in a Domain with Free Boundary
by: Ivanchov, N. I., et al.
Published: (2013)
by: Ivanchov, N. I., et al.
Published: (2013)
Inverse problem for the heat equation with degeneration
by: Ivanchov, N. I., et al.
Published: (2005)
by: Ivanchov, N. I., et al.
Published: (2005)
Inverse problem for the heat equation in a rectangular domain
by: Ivanchov, N. I., et al.
Published: (2017)
by: Ivanchov, N. I., et al.
Published: (2017)
Inverse Problem for a Two-Dimensional Diffusion Equation in a Domain with Free Boundary
by: M. I. Ivanchov, et al.
Published: (2013)
by: M. I. Ivanchov, et al.
Published: (2013)
Inverse problems for the heat-conduction equation with nonlocal boundary conditions
by: Ivanchov, N. I., et al.
Published: (1993)
by: Ivanchov, N. I., et al.
Published: (1993)
Inverse problem of simultaneous determination of two coefficients in a parabolic equation
by: Ivanchov, N. I., et al.
Published: (2000)
by: Ivanchov, N. I., et al.
Published: (2000)
Inverse problem for the heat equation in a rectangular domain
by: M. I. Ivanchov, et al.
Published: (2017)
by: M. I. Ivanchov, et al.
Published: (2017)
Inverse problem for a parabolic equation with strong power degeneration
by: Ivanchov, N. I., et al.
Published: (2006)
by: Ivanchov, N. I., et al.
Published: (2006)
On a coefficient inverse problem for a parabolic equation in a domain with free boundary
by: H. A. Snitko
Published: (2014)
by: H. A. Snitko
Published: (2014)
Inverse coefficient problem for a two-dimensional parabolic equation in a domain with free boundary
by: H. A. Snitko
Published: (2016)
by: H. A. Snitko
Published: (2016)
The solution of nonlinear inverse boundary problem of heat conduction
by: Ju. M. Matsevityj, et al.
Published: (2016)
by: Ju. M. Matsevityj, et al.
Published: (2016)
The solution of nonlinear inverse boundary problem of heat conduction
by: Мацевитый, Ю. М., et al.
Published: (2016)
by: Мацевитый, Ю. М., et al.
Published: (2016)
The solution of nonlinear inverse boundary problem of heat conduction
by: Мацевитый, Ю. М., et al.
Published: (2016)
by: Мацевитый, Ю. М., et al.
Published: (2016)
Problems with free boundaries for nonlinear parabolic equations
by: Berezovsky, A. A., et al.
Published: (1997)
by: Berezovsky, A. A., et al.
Published: (1997)
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)
by: H. A. Snitko
Published: (2013)
Inverse coefficient problem fоr a two-dimensional parabolic equation in a domain
with free boundary
by: Snitko, H. A., et al.
Published: (2016)
by: Snitko, H. A., et al.
Published: (2016)
Problems with free boundaries and nonlocal problems for nonlinear parabolic equations
by: Berezovsky, A. A., et al.
Published: (1997)
by: Berezovsky, A. A., et al.
Published: (1997)
Problem with free boundary for the systems of equations
of reaction-diffusion type
by: Rasulov, M. S., et al.
Published: (2017)
by: Rasulov, M. S., et al.
Published: (2017)
Nonlocal inverse problem for a two-dimensional heat equation
by: Ye. Kinash
Published: (2016)
by: Ye. Kinash
Published: (2016)
Problem with free boundary for the systems of equations of reaction-diffusion type
by: Zh. O. Takhirov, et al.
Published: (2017)
by: Zh. O. Takhirov, et al.
Published: (2017)
Stefan problem for the laplace equation with regard for the curvature of the free boundary
by: Bazalii, B. V., et al.
Published: (1997)
by: Bazalii, B. V., et al.
Published: (1997)
Boundary value problem for certain classes of non-linear ordinary differential equations with free boundary
by: Tovmasyan, N.E.
Published: (1999)
by: Tovmasyan, N.E.
Published: (1999)
Problems with free boundaries for the nonlinear evolution equation in problems of metallurgy, medicine, ecology
by: Mitropolsky , Yu. A., et al.
Published: (1992)
by: Mitropolsky , Yu. A., et al.
Published: (1992)
On One Nonlocal Problem with Free Boundary
by: Berezovsky, A. A., et al.
Published: (2001)
by: Berezovsky, A. A., et al.
Published: (2001)
Problem with nonlocal condition on the free boundary
by: Takhirov, Zh. O., et al.
Published: (2012)
by: Takhirov, Zh. O., et al.
Published: (2012)
Elliptic-parabolic equation and the corresponding problem with free boundary I: Elliptic problem with parameter
by: S. P. Degtjarev
Published: (2014)
by: S. P. Degtjarev
Published: (2014)
To the Solution of Geometric Inverse Heat Conduction Problems
by: Мацевитый, Ю. М., et al.
Published: (2021)
by: Мацевитый, Ю. М., et al.
Published: (2021)
To the Solution of Geometric Inverse Heat Conduction Problems
by: Мацевитый, Ю. М., et al.
Published: (2021)
by: Мацевитый, Ю. М., et al.
Published: (2021)
One-dimensional problems with free boundaries in ecology
by: Berezovs'kyi, M. A., et al.
Published: (1997)
by: Berezovs'kyi, M. A., et al.
Published: (1997)
Finite-Time Stabilization in Problems with Free Boundary for Nonlinear Equations in Media with Fractal Geometry
by: Berezovsky, A. A., et al.
Published: (2005)
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)
by: Berezovsky, A. A., et al.
Published: (1996)
Elliptic-parabolic equation and the corresponding problem with free boundary II: A smooth solution
by: S. P. Degtjarev
Published: (2014)
by: S. P. Degtjarev
Published: (2014)
To the Solution of Geometric Inverse Heat Conduction Problems
by: Yu. M. Matsevytyi, et al.
Published: (2021)
by: Yu. M. Matsevytyi, et al.
Published: (2021)
A free boundary problem arising in biology
by: Borodin, M.A.
Published: (2004)
by: Borodin, M.A.
Published: (2004)
Axisymmetric mixed free boundary value problem
by: Shcherbakov, E.
Published: (2007)
by: Shcherbakov, E.
Published: (2007)
Conferences on nonlinear problems of mathematical physics and problems with free boundaries
by: Bazaly , В. V., et al.
Published: (1992)
by: Bazaly , В. V., et al.
Published: (1992)
One version of the Linearized theory of nonstationary boundary-value problems with free boundary
by: Lukovsky, I. O., et al.
Published: (1996)
by: Lukovsky, I. O., et al.
Published: (1996)
Space-time localization in one-dimensional problems with free boundary for nonlinear second-order equations
by: Bittiev, Kh. R., et al.
Published: (1998)
by: Bittiev, Kh. R., et al.
Published: (1998)
Inverse problems and "loaded" composite type equations
by: Kozhanov, A.I.
Published: (2000)
by: Kozhanov, A.I.
Published: (2000)
Similar Items
-
Inverse problem for the strongly degenerate heat equation in a domain with free boundary
by: Ivanchov, N. I., et al.
Published: (2009) -
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 the heat equation with degeneration
by: Ivanchov, N. I., et al.
Published: (2005) -
Inverse problem for the heat equation in a rectangular domain
by: Ivanchov, N. I., et al.
Published: (2017) -
Inverse Problem for a Two-Dimensional Diffusion Equation in a Domain with Free Boundary
by: M. I. Ivanchov, et al.
Published: (2013)