Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition

A Gladkov, T Kavitova - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
Global existence of solutions of initial boundary value problem for nonlocal parabolic equation
with nonlocal boundary condition - Gladkov - 2020 - Mathematical Methods in the Applied …

A Reaction‐Diffusion System with Nonlinear Nonlocal Boundary Conditions

A Gladkov, A Nikitin - International Journal of Partial Differential …, 2014 - Wiley Online Library
A Reaction‐Diffusion System with Nonlinear Nonlocal Boundary Conditions - Gladkov - 2014 -
International Journal of Partial Differential Equations - Wiley Online Library Skip to Article …

[PDF][PDF] Blow-up for a degenerate and singular parabolic equation with nonlocal boundary condition

D Liu - J. Nonlinear Sci. Appl, 2016 - emis.de
The purpose of this work is to deal with the blow-up behavior of the nonnegative solution to
a degenerate and singular parabolic equation with nonlocal boundary condition. The …

Initial boundary value problem with nonlocal boundary condition for a nonlinear parabolic equation with memory

A Gladkov - Журнал Белорусского государственного …, 2023 - mathnet.ru
Установлено существование локального максимального решения исходной задачи.
Введены понятия верхнего и нижнего решений. Показано, что при выполнении …

Global Existence and Blow-up of Solutions for a Parabolic Equation with Nonlinear Memory and Absorption under Nonlinear Nonlocal Boundary Condition

AL Gladkov - Lobachevskii Journal of Mathematics, 2024 - Springer
Global Existence and Blow-up of Solutions for a Parabolic Equation with Nonlinear Memory and
Absorption under Nonlinear Nonlocal Boundary Condition | Lobachevskii Journal of Mathematics …

Blow-up of solutions for a semilinear parabolic equation with nonlinear memory and absorption under nonlinear nonlocal boundary condition

A Gladkov - arXiv preprint arXiv:2402.05040, 2024 - arxiv.org
arXiv:2402.05040v1 [math.AP] 7 Feb 2024 Page 1 arXiv:2402.05040v1 [math.AP] 7 Feb
2024 BLOW-UP OF SOLUTIONS FOR A SEMILINEAR PARABOLIC EQUATION WITH …

Extinction phenomenon and decay estimate for a quasilinear parabolic equation with a nonlinear source

D Liu, L Yang - Advances in Mathematical Physics, 2021 - Wiley Online Library
By energy estimate approach and the method of upper and lower solutions, we give the
conditions on the occurrence of the extinction and nonextinction behaviors of the solutions …

Global existence and extinction singularity for a fast diffusive polytropic filtration equation with variable coefficient

D Liu, C Liu - Mathematical Problems in Engineering, 2021 - Wiley Online Library
In this article, we deal with an inhomogeneous fast diffusive polytropic filtration equation. By
using the energy estimate approach, Hardy–Littlewood–Sobolev inequality, and a series of …

Blow-up and global existence for the non-local reaction diffusion problem with time dependent coefficient

I Ahmed, C Mu, P Zheng, F Zhang - Boundary Value Problems, 2013 - Springer
Blow-up and global existence for the non-local reaction diffusion problem with time
dependent coefficient under the Dirichlet boundary condition are investigated. We derive the …

Local existence of solutions and comparison principle for initial boundary value problem with nonlocal boundary condition for a nonlinear parabolic equation with …

A Gladkov - arXiv preprint arXiv:2305.18767, 2023 - arxiv.org
We consider an initial value problem for a nonlinear parabolic equation with memory under
nonlinear nonlocal boundary condition. In this paper we study classical solutions. We …