Global existence and blow-up for the fast diffusion equation with a memory boundary condition

DOI10.1090/QAM/1425zbMath1336.35080OpenAlexW2324625502MaRDI QIDQ2792386

Qian Wang, Keng Deng

Publication date: 9 March 2016

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1425

zbMATH Keywords

fast diffusion equationglobal existencefinite time blow-uptumor-induced angiogenesismemory boundary condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Related Items (2)

Solvability of nonlinear diffusion models with flux at the boundary driven by nonmonotone local and memory interactions ⋮ Global existence of solutions of a semilinear heat equation with nonlinear memory condition

Cites Work

• Unnamed Item
• Global solvability for the porous medium equation with boundary flux governed by nonlinear memory
• Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma
• Diffusivity versus absorption through the boundary
• Global behavior of solutions to the fast diffusion equation with boundary flux governed by memory
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
• Global Behavior of Positive Solutions to Nonlinear Diffusion Problems with Nonlinear Absorption Through the Boundary

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