On some parabolic systems arising from a nuclear reactor model with nonlinear boundary conditions

zbMath1470.35204arXiv1805.04244MaRDI QIDQ5004818

Kosuke Kita, Hiroki Sakamoto, Mitsuharu Ôtani

Publication date: 3 August 2021

Full work available at URL: https://arxiv.org/abs/1805.04244

zbMATH Keywords

nonlinear boundary conditionsreaction diffusion systeminitial-boundary problemthreshold property

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Nuclear reactor theory; neutron transport (82D75) Blow-up in context of PDEs (35B44) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Initial-boundary value problems for second-order parabolic systems (35K51)

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Bounds for global solutions of a reaction diffusion system with the Robin boundary conditions ⋮ On a comparison theorem for parabolic equations with nonlinear boundary conditions

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