Global existence and blow-up of positive solutions of a parabolic problem with free boundaries

DOI10.1016/J.NONRWA.2017.06.007OpenAlexW2735300151MaRDI QIDQ1681003

Lei Wei, Haihua Lu

Publication date: 17 November 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.06.007

zbMATH Keywords

blow upfree boundaryfast solutionslow solution

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Related Items (3)

On a moving boundary problem associated with the swelling drug release platforms ⋮ Analysis on a coupled parabolic system with free boundary ⋮ Blowup and vanishing of a free boundary problem with a nonlocal reaction term

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Environmental risks in a diffusive SIS model incorporating use efficiency of the medical resource
• Reproduction numbers and the expanding fronts for a diffusion-advection SIS model in heterogeneous time-periodic environment
• Global existence and blowup of a nonlocal problem in space with free boundary
• A SIS reaction-diffusion-advection model in a low-risk and high-risk domain
• Global existence and blowup of a localized problem with free boundary
• Stability and continuous dependence of solutions of one-phase Stefan problems for semilinear parabolic equations
• A free boundary problem for a reaction-diffusion system with nonlinear memory
• Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions
• A free boundary problem for the predator-prey model with double free boundaries
• Blow-up for semilinear parabolic equations with nonlinear memory
• Global existence and blowup for a parabolic equation with a non-local source and absorption
• Blow-up and asymptotic behavior of solutions for reaction-diffusion equations with free boundaries
• A Free Boundary Problem Arising in a Model of Wound Healing
• Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• Asymptotic behavior of the solutions of the dead-core problem
• Decay of global solutions, stability and blowup for a reaction-diffusion problem with free boundary
• Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem

This page was built for publication: Global existence and blow-up of positive solutions of a parabolic problem with free boundaries