Buchumschlag

Boundedness of weak solutions of a nondiagonal singular parabolic system of three equations

The $L^{∞}$-estimates of weak solutions are established for a quasilinear nondiagonal parabolic system of singular equations whose matrix of coefficients satisfies special structural conditions. A procedure based on the estimation of linear combinations of the unknowns is used.

Gespeichert in:

Bibliographische Detailangaben
Datum:	2006
Hauptverfasser:	Portnyagin, D. V., Понтрягин, Д. В.
Format:	Artikel
Sprache:	Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2006
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/3515
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

Boundedness of weak solutions of a nondiagonal singular parabolic system of three equations
von: Portnyagin, D.V.
Veröffentlicht: (2006)

Boundedness of weak solutions of a nondiagonal parabolic system of two equations
von: Portnyahin, D. V., et al.
Veröffentlicht: (2009)

Propagation of Singularities for Large Solutions of Quasilinear Parabolic Equations
von: Y. A. Yevgenieva
Veröffentlicht: (2019)

On some periodic solutions of singularly perturbed parabolic equations
von: Vasilyeva, A. B., et al.
Veröffentlicht: (2007)

The decomposition of a solution of the quasilinear stochastic parabolic equation with weak source
von: Melnik, S.
Veröffentlicht: (2007)

Boundedness of solutions and asymptotic properties of some systems of differential equations
von: Gorodetskii, V. G., et al.
Veröffentlicht: (1994)

On the existence of initial values of solutions of weakly nonlinear parabolic equations
von: Skrypnik, I. I., et al.
Veröffentlicht: (1993)

On the Boundedness of Singular Integral Operators in Symmetric Spaces
von: Peleshenko, B. I., et al.
Veröffentlicht: (2000)

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

$G$-convergence of parabolic operators and weak convergence of solutions of diffusion equations
von: Makhno, S. Ya., et al.
Veröffentlicht: (1993)

Boundedness of Solutions of Fractional-like Equations of Perturbed Motion
von: A. A. Martynjuk, et al.
Veröffentlicht: (2020)

Optimization of direct methods for the approximate solution of weakly singular integral equations
von: Urumbaev, A. N., et al.
Veröffentlicht: (1994)

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

Existence and uniqueness of the weak solution of a system of equations of the pa abolic type with singular right-hand sides
von: S. I. Liashko, et al.
Veröffentlicht: (2012)

On boundedness of solutions of Hill&#039;s equation with potential-distribution
von: V. N. Moliboga
Veröffentlicht: (2014)

Boundedness of solutions of differential equations with delayed argument, «close» to the linear
von: Barkovskaya, N. V., et al.
Veröffentlicht: (1966)

Information complexity of weakly singular integral equations
von: Makhkamov, K. Sh., et al.
Veröffentlicht: (1994)

On the Dirichlet problem for a quasilinear elliptic second order equation with triple degeneracy and singularity in a domain with edge on the boundary
von: Borsuk, M., et al.
Veröffentlicht: (2000)

Boundedness of multilinear singular integral operators on the homogeneous Morrey–Herz spaces
von: Wu, Jianglong, et al.
Veröffentlicht: (2009)

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

One-Sided Nonlocal Boundary-Value Problem for Singular Parabolic Equations
von: Pukalskyi, I. D., et al.
Veröffentlicht: (2001)

Singularities of Solutions of Singular Integral Equations
von: Il'man, V. M., et al.
Veröffentlicht: (2002)

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

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

Method of energy estimates for the study of a behavior of weak solutions of the equation of slow diffusion with singular boundary data
von: Ye. O. Yevhenieva, et al.
Veröffentlicht: (2019)

Continuability and boundedness of solutions for a kind of nonlinear delay integro-differential equations of third order
von: C. Tunз, et al.
Veröffentlicht: (2017)

Continuability and boundedness of solutions for a kind of nonlinear delay integro-differential equations of third order
von: Tunç, C., et al.
Veröffentlicht: (2017)

Approximate optimal controller for a weakly nonlinear evolutionary equation of parabolic type
von: N. V. Horban, et al.
Veröffentlicht: (2021)

Linear boundary-value problems for weakly singular integral equations
von: O. A. Boichuk, et al.
Veröffentlicht: (2019)

Existence of three weak solutions for fourth-order elastic beam equations on the whole space
von: M. R.H. Tavani
Veröffentlicht: (2020)

Existence of three weak solutions for fourth-order elastic beam equations on the whole space
von: Tavani , M. R. H., et al.
Veröffentlicht: (2020)

Removability of an isolated singularity of solutions of the Neumann problem for quasilinear parabolic equations with absorption that admit double degeneration
von: Boldovskaya, O. M., et al.
Veröffentlicht: (2010)

On asymptotically stability, uniformly stability and boundedness of solutions of nonlinear Volterra integro-differential equations
von: C. Tunз, et al.
Veröffentlicht: (2020)

On asymptotically stability, uniformly stability and boundedness of solutions of nonlinear Volterra integro-differential equations
von: Tunç, C., et al.
Veröffentlicht: (2020)

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)

On problems without initial conditions for singular parabolic systems
von: M. I. Konarovska
Veröffentlicht: (2012)

Control of singular distributed parabolic systems with discontinuous nonlinearities
von: Pavlenko, V. N., et al.
Veröffentlicht: (1994)

Boundary-value problems for weakly singular Hammerstein-type integral equations
von: O. Boichuk, et al.
Veröffentlicht: (2024)

Boundary-value problems for weakly singular Hammerstein-type integral equations
von: Boichuk, O., et al.
Veröffentlicht: (2024)

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