Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms

DOI10.3934/dcds.2017105zbMath1357.35186OpenAlexW2590326460MaRDI QIDQ514010

Yong-Cai Geng, Sumit K. Garg

Publication date: 8 March 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017105

zbMATH Keywords

uniquenessasymptotic stabilitystrong solutionsreaction-diffusion systemsblow-uplocal and global weak solutionsnonlocal coupled diffusivity terms

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35)

Related Items (9)

On a Kirchhoff diffusion equation with integral condition ⋮ On initial inverse problem for nonlinear couple heat with Kirchhoff type ⋮ On a class of nonlocal porous medium equations of Kirchhoff type ⋮ On a class of nonlocal parabolic equations of Kirchhoff type: Nonexistence of global solutions and blow‐up ⋮ Regularization and error estimate for an initial inverse nonlocal diffusion problem ⋮ On a backward problem for the Kirchhoff's model of parabolic type ⋮ On a degenerate nonlocal parabolic equation with variable source ⋮ Identification of the initial population of a nonlinear predator-prey system backwards in time ⋮ On a terminal value problem for parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms

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