Life span bounds for reaction–diffusion equation with a space–time integral source term

W Huo, ZB Fang - Zeitschrift für angewandte Mathematik und Physik, 2023 - Springer
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 …

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 …

Blow up and global solvability for an absorptive porous medium equation with memory at the boundary

JR Anderson, K Deng - IMA Journal of Applied Mathematics, 2021 - academic.oup.com
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 …

Partial integrodifferential equations with critical nonlinearities

A Viana - Nonlinear Differential Equations and Applications …, 2022 - Springer
In this paper, we initially study the behavior of the resolvent family associated with the
abstract equation u′= A u+∫ 0 t K (ts) u (s) ds, in abstract interpolation scales, which has a …

Solvability of nonlinear diffusion models with flux at the boundary driven by nonmonotone local and memory interactions

JR Anderson - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
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 …