Towards a further understanding of the dynamics in the excitatory NNLIF neuron model: blow-up and global existence
DOI10.3934/krm.2021025zbMath1505.35338OpenAlexW3194169653MaRDI QIDQ2063741
Publication date: 3 January 2022
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/krm.2021025
Artificial neural networks and deep learning (68T07) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Blow-up in context of PDEs (35B44) Classical solutions to PDEs (35A09) PDEs on time scales (35R07)
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