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20142025
most citedGlobal existence of solutions of initial-boundary value problem for nonlocal parabolic equation with nonlocal boundary condition

11 citations · 12 across the 12 of their papers we have counts for

collaborators

13 papers

math.AP2025

Blow-up problem for porous medium equation with absorption under nonlinear nonlocal boundary condition

Alexander Gladkov

In this paper, we consider an initial boundary value problem for the porous medium equation with absorption under a nonlinear nonlocal boundary condition and a nonnegative initial…

math.AP2024

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

Alexander Gladkov

In this paper we consider initial boundary value problem for a parabolic equation with nonlinear memory and absorption under nonlinear nonlocal boundary condition. We prove global…

math.AP2023

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

Alexander Gladkov

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 esta…

math.AP2022

Blow-up problem for nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition

Alexander Gladkov

In this paper we consider initial boundary value problem for nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition and nonnegative initi…

math.AP2020

Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions

Alexander Gladkov, Mohammed Guedda

We consider semilinear parabolic equations with nonlinear boundary conditions. We give conditions which guarantee global existence of solutions as well as blow-up in finite time of…

math.AP2020

Nonexistence of nonnegative entire solutions of semilinear elliptic systems

Alexander Gladkov, Sergey Sergeenko

We consider the second order semilinear elliptic system where and are positive cons…