Cover Image

Inverse problem for a parabolic equation with strong power degeneration

We consider the inverse problem of determining the time-dependent coefficient of the leading derivative in a full parabolic equation under the assumption that this coefficient is equal to zero at the initial moment of time. We establish conditions for the existence and uniqueness of a classical solu...

Full description

Saved in:

Bibliographic Details
Date:	2006
Main Authors:	Ivanchov, N. I., Saldina, N. V., Іванчов, М. І., Салдіна, Н. В.
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/3549
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

Inverse problem for the heat equation with degeneration
by: Ivanchov, N. I., et al.
Published: (2005)

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

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

Nonlocal Inverse Problem for a Parabolic Equation with Degeneration
by: Huzyk, N. M., et al.
Published: (2013)

Nonlocal Inverse Problem for a Parabolic Equation with Degeneration
by: N. M. Huzyk
Published: (2013)

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

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

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

Inverse problem for the heat equation in a rectangular domain
by: Ivanchov, N. I., et al.
Published: (2017)

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

Stefan problem for a weakly degenerate parabolic equation
by: Hryntsiv, N. M., et al.
Published: (2011)

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

Nonlocal Neumann problem for a degenerate parabolic equation
by: Pukalskyi, I. D., et al.
Published: (1999)

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

Nonlocal Dirichlet problem for linear parabolic equations with degeneration
by: Pukalskyi, I. D., et al.
Published: (2007)

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

On existence of strong solution for a degenerate parabolic inequality with mixed boundary-value conditions
by: N. V. Zadoianchuk
Published: (2015)

Nonlocal multipoint in time problem for parabolic equations with degeneration
by: I. D. Pukalskyi, et al.
Published: (2017)

Boundary-value problem with impulsive action for a parabolic equation with degeneration
by: Pukalskyi, I. D., et al.
Published: (2019)

Inverse problem for the heat equation in a rectangular domain
by: M. I. Ivanchov, et al.
Published: (2017)

Boundary-Value Problem with Impulsive Conditions and Degeneration for Parabolic Equations
by: Isaryuk, I. M., et al.
Published: (2015)

Boundary-value problem with impulsive action for a parabolic equation with degeneration
by: I. D. Pukalskyi, et al.
Published: (2019)

The boundary-value problems for parabolic equations with a nonlocal condition and degenerations
by: I. M. Isarjuk, et al.
Published: (2014)

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

Numerical solution to a class of inverse problems for parabolic equation
by: A. B. Ragimov
Published: (2017)

The boundary value problems with impulse conditions for parabolic equations with degenerations
by: I. M. Isariuk, et al.
Published: (2016)

Boundary value problem for parabolic equations with impulse conditions and degenerations
by: I. D. Pukalskyi
Published: (2015)

Boundary-Value Problem with Impulsive Conditions and Degeneration for Parabolic Equations
by: I. M. Isariuk, et al.
Published: (2015)

Nonlocal parabolic problem and optimal control problem for linear equations with degeneration
by: I. D. Pukalskyi
Published: (2012)

Quasilinear parabolic equations with a degenerate absorption potential
by: Ye. O. Yevhenieva
Published: (2018)

Nonlocal multipoint in time problem with an oblique derivative for a parabolic equation with degeneration
by: I. D. Pukalskyi, 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)

Boundary-value problem for nonlinear degenerated parabolic equations with variable delay
by: Il’nyts’ka, О. V., et al.
Published: (2016)

Multipoint boundary value problem of optimal control for parabolic equations with degeneration
by: I. D. Pukalskyi, et al.
Published: (2020)

Boundary-value problem for nonlinear degenerated parabolic equations with variable delay
by: M. M. Bokalo, et al.
Published: (2016)

Fundamental solution of the Cauchy problem for a class of degenerate parabolic pseudo-differential equations
by: V. A. Litovchenko
Published: (2013)

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

Some inverse problems for parabolic and elliptic differential-operator equations
by: Eydelman, S. D., et al.
Published: (1993)

Inverse problems for the heat-conduction equation with nonlocal boundary conditions
by: Ivanchov, N. I., et al.
Published: (1993)

Theorems on the existence and nonexistence of solutions of the Cauchy problem for degenerate parabolic equations with nonlocal source
by: Afanaseva, N. V., et al.
Published: (2005)