In this paper, we study the blow-up phenomena of the Dirichlet initial boundary value
problem for reaction–diffusion equation with a space–time integral source term. By virtue of …

We consider a semilinear parabolic equation with flux at the boundary governed by a
nonlinear memory. We give some conditions for this problem which guarantee global …

Установлено существование локального максимального решения исходной задачи.
Введены понятия верхнего и нижнего решений. Показано, что при выполнении …

We study the characterization of global solvability versus blow up in finite time for a porous
medium model including a balance of internal absorption with memory driven flux through …

We study global existence and blow up in finite time for a one‐dimensional fast diffusion
equation with memory boundary condition. The problem arises out of a corresponding …

We investigate local and global solvability for nonlinear diffusion models with boundary flux
driven by competing local and memory interactions. New local existence and comparison …

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 …

In this paper, we study the long-time behavior of solutions to the fast diffusion equation with
a memory boundary condition. The problem corresponds to a model introduced in previous …

研究带非线性吸引项的抛物型方程ut= Δu-u m 在具有时间积分的Neumann
边界条件\frac\partial u\partial v= u^ q\int_0^ tu^ p 下解的性质, 其中p> 0, q> 0, m≥ 1 …

An initial boundary value problem for the linear pseudoparabolic equation (u+ η M u) t+ k (t)
M u= f is considered under the nonlinear mixed boundary condition. M is a linear differential …