Buchumschlag

On the instantaneous shrinking of the support of a solution to the Cauchy problem for an anisotropic parabolic equation

We study the phenomenon of instantaneous shrinking of the support of solution to the Cauchy problem for the parabolic equation with anisotropic degeneration, double nonlinearity, and strong absorption. In terms of the behavior of locally integrable initial data, we formulate necessary and sufficient...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2009
Hauptverfasser:	Degtyarev, S. P., Дегтярев, С. П.
Format:	Artikel
Sprache:	Russisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2009
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/3046
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

Influence of the inhomogeneity of porous media on the instantaneous compactification of the support of solution of the filtration problem
von: Degtyarev, S. P., et al.
Veröffentlicht: (2006)

Bilateral estimates for the support of a solution of the Cauchy problem for an anisotropic quasilinear degenerate equation
von: Degtyarev, S. P., et al.
Veröffentlicht: (2006)

On stabilization of solutions of the cauchy problem for parabolic equations on the nets
von: Denisov, V.
Veröffentlicht: (2000)

One method for solution of the Cauchy problem for singular parabolic equations
von: Matiichuk , M. I., et al.
Veröffentlicht: (1992)

Isoperimetric inequalities and regularity at shrinking points for parabolic problems
von: Ughi, M.
Veröffentlicht: (2000)

Asymptotic behaviour of the solution of Cauchy’s problem for stochastic equation of parabolic type
von: Dorogovtsev , A. Ya., et al.
Veröffentlicht: (1988)

Fundamental solutions of the Cauchy problem for some degenerate parabolic equations of the Kolmogorov type
von: Ivasyshen, S. D., et al.
Veröffentlicht: (2011)

Cauchy Problem for Nonuniformly Parabolic Equations with Degeneracy
von: Pukalskyi, I. D., et al.
Veröffentlicht: (2003)

Fundamental solution of the Cauchy problem for one parabolic equation with increasing lowest coefficients
von: S. D. Ivasyshen, et al.
Veröffentlicht: (2014)

In bifurcated solution of the Cauchy problem for one class of parabolic systems
von: Lenуuk, M. P., et al.
Veröffentlicht: (1970)

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

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

Cauchy problem for a semilinear Éidel’man parabolic equation
von: Korkuna, O. E., et al.
Veröffentlicht: (2008)

The fundamental solution of the Cauchy problem for degenerated parabolic Kolmogorov type equations of arbitrary order
von: S. D. Ivasyshen, et al.
Veröffentlicht: (2019)

Uniqueness of solutions of mixed problems and the Cauchy problem for parabolic equation of high order with nonrestricted coef¬ficients
von: Akulov , V. F., et al.
Veröffentlicht: (1992)

The Cauchy problem for a stochastic parabolic equation with a deviation of the argument
von: H. M. Perun, et al.
Veröffentlicht: (2022)

Cauchy problem for non-uniformly parabolic equations with power singularities
von: I. D. Pukalskyi
Veröffentlicht: (2021)

Principle of localization of solutions of the Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type
von: Litovchenko, V. A., et al.
Veröffentlicht: (2010)

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

On a generalization of a Cauchy problem for singular parabolic type evolution equations
von: V. V. Horodetskyi, et al.
Veröffentlicht: (2016)

One method for the investigation of the fundamental solution of the Cauchy problem for parabolic systems
von: V. A. Litovchenko
Veröffentlicht: (2018)

One method for the investigation of the fundamental solution of the Cauchy problem for parabolic systems
von: Litovchenko, V. A., et al.
Veröffentlicht: (2018)

Complete Solvability of the Cauchy Problem for Petrovskii Parabolic Equations in S-Type Spaces
von: Litovchenko, V. A., et al.
Veröffentlicht: (2002)

Upper and Lower Bounds of a Solution of the Cauchy Problem for a Stochastic Differential Equation of Parabolic Type with Power Nonlinearities (Weak Source)
von: Mel'nik, S. A., et al.
Veröffentlicht: (2002)

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

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
von: Martynenko, A. V., et al.
Veröffentlicht: (2012)

On one boundary-value problem for a strongly degenerate second-order elliptic equation in an angular domain
von: Bazalii, B. V., et al.
Veröffentlicht: (2007)

Fundamental solution of the Cauchy problem for (p,h) - parabolic systems with variable coefficients
von: V. A. Litovchenko
Veröffentlicht: (2018)

Cauchy problem for parabolic systems with pulse action
von: Luchko, V. M., et al.
Veröffentlicht: (2006)

A Cauchy problem for autonomous quasilinear parabolic pseudo-differential equations with argument deviation
von: Ya. M. Drin, et al.
Veröffentlicht: (2013)

Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type with positive genus
von: Ivasyshen, S. D., et al.
Veröffentlicht: (2009)

On local gradient estimates for anisotropic elliptic and parabolic equations
von: Skrypnik, I.I., et al.
Veröffentlicht: (2012)

Fundamental solution of the Cauchy problem for the Shilov-type parabolic systems with coefficients of bounded smoothness
von: V. A. Litovchenko, et al.
Veröffentlicht: (2017)

Fundamental solution of the Cauchy problem for the Shilov-type parabolic systems with coefficients of bounded smoothness
von: Litovchenko, V. A., et al.
Veröffentlicht: (2017)

Certain theorems on stabilization of the Cauchy problem solutions for parabolic Shilovian systems in the classes of generalized functions
von: Gorodetsky, V. V., et al.
Veröffentlicht: (1987)

Anisotropic parabolic problem with variable exponent and regular data
von: R. Mecheter
Veröffentlicht: (2022)

Kolmogorov’s equation for the Cauchy problem’s solution of one class of linear evolutional equations
von: Mestechkina, T. M., et al.
Veröffentlicht: (1987)

Stochastic -point Cauchy problem of parabolic type with semidiffusion perturbations
von: G. M. Perun, et al.
Veröffentlicht: (2018)

Classical solution of parabolic mixed problem and 2b-anisotropic Hцrmander spaces
von: V. M. Los
Veröffentlicht: (2015)

Existence of solution of the Cauchy problem for the Enskog equation with dissipative scattering
von: M. S. Borovchenkova
Veröffentlicht: (2013)