Bilateral estimates for the support of a solution of the Cauchy problem for an anisotropic quasilinear degenerate equation
We establish exact-order bilateral estimates for the size of the support of a solution of the Cauchy problem for a doubly nonlinear parabolic equation with anisotropic degeneration in the case where the initial data are finite and have finite mass.
Saved in:
| Date: | 2006 |
|---|---|
| Main Authors: | Degtyarev, S. P., Tedeev, A. F., Дегтярев, С. П., Тедеев, А. Ф. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2006
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3548 |
| 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
On the instantaneous shrinking of the support of a solution to the Cauchy problem for an anisotropic parabolic equation
by: Degtyarev, S. P., et al.
Published: (2009)
by: Degtyarev, S. P., et al.
Published: (2009)
Initial-boundary-value problems for quasilinear degenerate hyperbolic equations with damping. Neumann problem
by: Tedeev, A. F., et al.
Published: (2006)
by: Tedeev, A. F., et al.
Published: (2006)
Two-sided estimates of a solution of the Neumann problem as $t \rightarrow \infty$ for a second-order Quasilinear Parabolic Equation
by: Tedeev, A. F., et al.
Published: (1996)
by: Tedeev, A. F., et al.
Published: (1996)
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)
by: Afanaseva, N. V., et al.
Published: (2005)
Qualitative properties of solutions of the Neumann problem for a higher-order quasilinear parabolic equation
by: Tedeev, A. F., et al.
Published: (1993)
by: Tedeev, A. F., et al.
Published: (1993)
Stabilization of solutions to the initial boundary–value problems for quasilinear parabolic equations
by: Tedeev, A. F., et al.
Published: (1992)
by: Tedeev, A. F., et al.
Published: (1992)
On the behavior of solutions of the Cauchy problem for a degenerate parabolic equation with source in the case where the initial function slowly vanishes
by: Martynenko, A. V., et al.
Published: (2012)
by: Martynenko, A. V., et al.
Published: (2012)
Influence of the inhomogeneity of porous media on the instantaneous compactification of the support of solution of the filtration problem
by: Degtyarev, S. P., et al.
Published: (2006)
by: Degtyarev, S. P., et al.
Published: (2006)
On some properties of solutions of quasilinear degenerate equations
by: Amanov, R. A., et al.
Published: (2008)
by: Amanov, R. A., et al.
Published: (2008)
The Cauchy problem for degenerate parabolic equations with source and damping
by: Andreucci, D., et al.
Published: (2004)
by: Andreucci, D., et al.
Published: (2004)
Двусторонние оценки носителя решения задачи Коши для анизотропного квазилинейного вырождающегося уравнения
by: Дегтярев, С.П., et al.
Published: (2006)
by: Дегтярев, С.П., et al.
Published: (2006)
О разрешимости задачи Коши с растущими начальными данными для одного класса анизотропных параболических уравнений
by: Дегтярев, С.П., et al.
Published: (2011)
by: Дегтярев, С.П., et al.
Published: (2011)
Method for symmetrization and estimation of solutions of the Neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time
by: Bazalii, B. V., et al.
Published: (1995)
by: Bazalii, B. V., et al.
Published: (1995)
Regularity of solutions of Degenerate Quasilinear Parabolic Equations (weighted case)
by: Skrypnik, I. I., et al.
Published: (1996)
by: Skrypnik, I. I., et al.
Published: (1996)
On one boundary-value problem for a strongly degenerate second-order elliptic equation in an angular domain
by: Bazalii, B. V., et al.
Published: (2007)
by: Bazalii, B. V., et al.
Published: (2007)
On the estimates of the rate of propagation of perturbations in quasilinear divergent degenerated parabolic equations of the high order
by: Shyshkov, A. E., et al.
Published: (1992)
by: Shyshkov, A. E., et al.
Published: (1992)
Fundamental solutions of the Cauchy problem for some degenerate parabolic equations of the Kolmogorov type
by: Ivasyshen, S. D., et al.
Published: (2011)
by: Ivasyshen, S. D., et al.
Published: (2011)
О компактности носителя решения одной эволюционной системы, возникающей из модели Бина в теории сверхпроводимости
by: Дегтярев, С.П., et al.
Published: (2007)
by: Дегтярев, С.П., et al.
Published: (2007)
Multiplicative inequalities in regions with noncompact boundary
by: Tedeev , A. F., et al.
Published: (1992)
by: Tedeev , A. F., et al.
Published: (1992)
Quasilinear parabolic equations with a degenerate absorption potential
by: Ye. O. Yevhenieva
Published: (2018)
by: Ye. O. Yevhenieva
Published: (2018)
On the estimates of the rate of stabilization for some problems with free boundary
by: Bazaly, В. V., et al.
Published: (1992)
by: Bazaly, В. V., et al.
Published: (1992)
On a method for estimating the solutions of quasilinear systems
by: A. A. Martynjuk
Published: (2015)
by: A. A. Martynjuk
Published: (2015)
Removability of an isolated singularity of solutions of the Neumann problem for quasilinear parabolic equations with absorption that admit double degeneration
by: Boldovskaya, O. M., et al.
Published: (2010)
by: Boldovskaya, O. M., et al.
Published: (2010)
Fundamental solution of the Cauchy problem for a class of degenerate parabolic pseudo-differential equations
by: V. A. Litovchenko
Published: (2013)
by: V. A. Litovchenko
Published: (2013)
The fundamental solution of the Cauchy problem for degenerated parabolic Kolmogorov type equations of arbitrary order
by: S. D. Ivasyshen, et al.
Published: (2019)
by: S. D. Ivasyshen, et al.
Published: (2019)
On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations
by: Pafyk, S. P., et al.
Published: (2013)
by: Pafyk, S. P., et al.
Published: (2013)
Integral representation of a solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument
by: Zarubin, A. N., et al.
Published: (1997)
by: Zarubin, A. N., et al.
Published: (1997)
Solutions of the matrix linear bilateral polynomial equation and their structure
by: Dzhaliuk, Nataliia S., et al.
Published: (2019)
by: Dzhaliuk, Nataliia S., et al.
Published: (2019)
Solutions of the matrix linear bilateral polynomial equation and their structure
by: Dzhaliuk, N.S., et al.
Published: (2019)
by: Dzhaliuk, N.S., et al.
Published: (2019)
Principle of localization of solutions of the Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type
by: Litovchenko, V. A., et al.
Published: (2010)
by: Litovchenko, V. A., et al.
Published: (2010)
Asymptotic integration of a singularly perturbed quasilinear cauchy problem in a banach space
by: Plotkin, Ya. D., et al.
Published: (1999)
by: Plotkin, Ya. D., et al.
Published: (1999)
Modified Cauchy problem for one degenerated hyperbolic equation of the second kind
by: Urinov, A. K., et al.
Published: (2020)
by: Urinov, A. K., et al.
Published: (2020)
On the estimation of the Lyapunov function in solutions of a quasilinear fractional system
by: A. A. Martyniuk
Published: (2020)
by: A. A. Martyniuk
Published: (2020)
Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations
by: Bazalii, B. V., et al.
Published: (1993)
by: Bazalii, B. V., et al.
Published: (1993)
Modified Cauchy problem for one degenerated hyperbolic equation of the second kind
by: A. K. Urinov, et al.
Published: (2020)
by: A. K. Urinov, et al.
Published: (2020)
A Cauchy problem for autonomous quasilinear parabolic pseudo-differential equations with argument deviation
by: Ya. M. Drin, et al.
Published: (2013)
by: Ya. M. Drin, et al.
Published: (2013)
On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations
by: S. P. Pafyk, et al.
Published: (2013)
by: S. P. Pafyk, et al.
Published: (2013)
Convergence of solutions of variation inequalities with bilateral obstacles in perforated regions
by: Kovalevsky , A. A., et al.
Published: (1992)
by: Kovalevsky , A. A., et al.
Published: (1992)
Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem
by: Bazaliy, B.V., et al.
Published: (2011)
by: Bazaliy, B.V., et al.
Published: (2011)
Pointwise estimate of a solution to quasilinear elliptic problem in the domain with thin cavity
by: Skrypnik, I. V., et al.
Published: (1992)
by: Skrypnik, I. V., et al.
Published: (1992)
Similar Items
-
On the instantaneous shrinking of the support of a solution to the Cauchy problem for an anisotropic parabolic equation
by: Degtyarev, S. P., et al.
Published: (2009) -
Initial-boundary-value problems for quasilinear degenerate hyperbolic equations with damping. Neumann problem
by: Tedeev, A. F., et al.
Published: (2006) -
Two-sided estimates of a solution of the Neumann problem as $t \rightarrow \infty$ for a second-order Quasilinear Parabolic Equation
by: Tedeev, A. F., et al.
Published: (1996) -
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) -
Qualitative properties of solutions of the Neumann problem for a higher-order quasilinear parabolic equation
by: Tedeev, A. F., et al.
Published: (1993)