Well-posedness of a model equation for neurotransmitter diffusion with reactive boundaries

DOI10.1142/S0218202515500074zbMath1310.35145MaRDI QIDQ5176155

Niels Christian Danbolt, Xavier Raynaud, Knut Petter Lehre, Magne Nordaas

Publication date: 2 March 2015

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

diffusion equationwell-posednessreactive boundary conditionneurotransmitter diffusion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Neural biology (92C20)

Cites Work

• On a nonlinear flux-limited equation arising in the transport of morphogens
• A strongly degenerate quasilinear equation: the parabolic case
• Compact sets in the space \(L^ p(0,T;B)\)
• ON THE ASYMPTOTIC THEORY FROM MICROSCOPIC TO MACROSCOPIC GROWING TISSUE MODELS: AN OVERVIEW WITH PERSPECTIVES

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