Cover Image

Existence and nonexistence of solutions of reaction-diffusion equation with Robin boundary condition

We investigate the long-time behavior of the reaction-diffusion equation, which has a nonlinearity of polynomial growth of any order, with Robin boundary condition. Sufficient conditions are obtained for the solutions of the problem to be bounded or approaching infinity at a finite time.

Saved in:

Bibliographic Details
Date:	2016
Main Authors:	Öztürk, E., Озтюрк, Е.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2016
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1849
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

Existence and nonexistence of solutions of reaction-diffusion equation with Robin boundary condition
by: E. Öztürk, et al.
Published: (2016)

On the existence, uniqueness, and nonexistence of solutions of one boundary-value problem for a semilinear hyperbolic equation
by: S. Kharibegashvili, et al.
Published: (2019)

On the existence, uniqueness, and nonexistence of solutions of one boundary-value problem for a semilinear hyperbolic equation
by: Midodashvili, B., et al.
Published: (2019)

Robin boundary-value problem for the Beltrami equation
by: İ. Gençtürk
Published: (2023)

Robin boundary-value problem for the Beltrami equation
by: Gençtürk, I., et al.
Published: (2023)

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)

Straight Quantum Waveguide with Robin Boundary Conditions
by: Jílek, M.
Published: (2007)

Existence and uniqueness of solution to the Cauchy problem for neutral stochastic differential equation of reaction-diffusion type
by: A. N. Stanzhitskij, et al.
Published: (2016)

Problem with free boundary for the systems of equations of reaction-diffusion type
by: Zh. O. Takhirov, et al.
Published: (2017)

Problem with free boundary for the systems of equations of reaction-diffusion type
by: Rasulov, M. S., et al.
Published: (2017)

Fundamental solutions to Robin boundary-value problems for time-fractional heat conduction equation in a half-line
by: Y. Z. Povstenko
Published: (2012)

Conditional symmetries and exact solutions of the reaction-diffusion system
by: M. I. Sierov, et al.
Published: (2016)

Integral Conditions for Convergence of Solutions of Non-Linear Robin's Problem in Strongly Perforated Domain
by: Khruslov, E.Ya., et al.
Published: (2017)

Conditional Symmetry of a System of Nonlinear Reaction-Diffusion Equations
by: T. A. Barannyk
Published: (2015)

Conditional Symmetry of a System of Nonlinear Reaction-Diffusion Equations
by: Barannyk, T. A., et al.
Published: (2015)

On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity
by: Stanzhitsky, A.N., et al.
Published: (2009)

Nonexistence of global nonnegative solutions to quasilinear parabolic inequalities
by: Tesei, A.
Published: (2000)

Existence and uniqueness of solution to a parabolic-hyperbolic equation with multiplicative control and nonlocally boundary conditions
by: V. Kapustyan, et al.
Published: (2024)

Existence and uniqueness of solution to a parabolic-hyperbolic equation with multiplicative control and nonlocally boundary conditions
by: Kapustyan, V., et al.
Published: (2024)

Exact estimates of solutions to the robin boundary value problem for linear elliptic non divergence second order equations in a neighborhood of the conical point
by: Borsuk, M., et al.
Published: (2004)

On the existence of solutions of the Beltrami equations with conditions on inverse dilatations
by: Ye. O. Sevostianov
Published: (2021)

Global attractor for impulsive reaction-diffusion equation
by: Iovane, G., et al.
Published: (2005)

Attractors of reaction-diffusion equations with nonmonotone nonlinearity
by: Valero, J.
Published: (2000)

The existence of strong solutions of diffusion stochastic differential equations with entire prehistory and integral contractors
by: V. K. Yasynskyi, et al.
Published: (2013)

Bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions
by: Umezu, K.
Published: (2000)

Global nonexistence of solutions of a system of nonlinear viscoelastic wave equations with degenerate damping and source terms
by: D. Ouchenane, et al.
Published: (2013)

Global nonexistence of solutions for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms
by: Bayoud, M., et al.
Published: (2013)

Global nonexistence of solutions for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms
by: Ouchenane, D., et al.
Published: (2013)

Nonexistence theorem except the out-of-phase and in-phase solutions in the coupled van der Pol equation system
by: Nohara, B. T., et al.
Published: (2009)

Integral Conditions for Convergence of Solutions of Non-Linear Robin&#039;s Problem in Strongly Perforated Domain
by: Ya. Khruslov, et al.
Published: (2017)

Conditions for the existence of basic solutions of linear multivalued differential equations
by: T. O. Komlieva, et al.
Published: (2021)

Conditions for the existence and uniqueness of bounded solutions of nonlinear differential equations
by: Slyusarchuk, V. Yu., et al.
Published: (2009)

Conditions for the existence of basic solutions of linear multivalued differential equations
by: Komleva, T. A., et al.
Published: (2021)

Nonexistence results for a system of nonlinear fractional integro-differential equations
by: A. Mugbil
Published: (2023)

Nonexistence results for a system of nonlinear fractional integro-differential equations
by: Mugbil, A., et al.
Published: (2023)

Robin&#039;s nonlinear problem in domains with a fine-grained random boundary
by: Ja. Khruslov, et al.
Published: (2017)

Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix
by: Nikitin, A. G., et al.
Published: (2007)

Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix
by: Nikitin, A.G.
Published: (2007)

Conditions for the Existence of Solutions of a Periodic Boundary-Value Problem for an Inhomogeneous Linear Hyperbolic Equation of the Second Order. I
by: Mitropolskiy, Yu. A., et al.
Published: (2005)

Nonexistence of some T-factorizations of order 12
by: Petrenyuk, A. Ya., et al.
Published: (2006)