TY - CHAP
T1 - The Mixed Boundary Value Problem
AU - Holcman, David
AU - Schuss, Zeev
N1 - Publisher Copyright:
© 2018, Springer International Publishing AG, part of Springer Nature.
PY - 2018
Y1 - 2018
N2 - The mixed Dirichlet–Neumann boundary value problem for the Poisson equation, which goes back to Lord Rayleigh (in the context of the theory of sound), has come up recently in neuroscience as the problem of calculating the mean first passage time of Brownian motion to a small absorbing window on the otherwise reflecting boundary of a bounded domain (see Figure 6.1), as described below. The mean first passage time in this problem is also called the narrow escape time.
AB - The mixed Dirichlet–Neumann boundary value problem for the Poisson equation, which goes back to Lord Rayleigh (in the context of the theory of sound), has come up recently in neuroscience as the problem of calculating the mean first passage time of Brownian motion to a small absorbing window on the otherwise reflecting boundary of a bounded domain (see Figure 6.1), as described below. The mean first passage time in this problem is also called the narrow escape time.
UR - http://www.scopus.com/inward/record.url?scp=85067933849&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-76895-3_6
DO - 10.1007/978-3-319-76895-3_6
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AN - SCOPUS:85067933849
T3 - Applied Mathematical Sciences (Switzerland)
SP - 191
EP - 200
BT - Applied Mathematical Sciences (Switzerland)
PB - Springer
ER -