Asymptotics of elliptic and parabolic PDEs : and their applications in statistical physics, computational neuroscience, and biophysics / David Holcman, Zeev Schuss.

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Bibliographic Details
Uniform Title:Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 199.
Main Author: Holcman, David
Other Authors: Schuss, Zeev, 1937-
Language:English
Published: Cham, Switzerland : Springer, [2018], ©2018.
Series:Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 199.
Subjects:
Differential equations, Elliptic > Asymptotic theory.
Differential equations, Partial > Asymptotic theory.
Physical Description:xxiii, 444 pages : illustrations (some color) ; 25 cm.
Format: Book
Contents:
  • Part I. Singular Perturbations of Elliptic Boundary Problems
  • 1 Second-Order Elliptic Boundary Value Problems with a Small Leading Part
  • 2 A Primer of Asymptotics for ODEs
  • 3 Singular Perturbations in Higher Dimensions
  • 4 Eigenvalues of a Non-self-adjoint Elliptic Operator
  • 5 Short-time Asymptotics of the Heat Kernel
  • Part II Mixed Boundary Conditions for Elliptic and Parabolic Equations
  • 6 The Mixed Boundary Value Problem
  • 7 THe Mixed Boundary Value Problem in R2
  • 8 Narrow Escape in R3
  • 9 Short-time Asymptotics of the Heat Kernel and Extreme Statistics of the NET
  • 10 The Poisson-Nernst-Planck Equations in a Ball
  • 11 Reconstruction of Surface Diffusion from Projected Data
  • 12 Asymptotic Formulas in Molecular and Cellular Biology
  • Bibliography
  • Index.