Asymptotics of elliptic and parabolic PDEs : and their applications in statistical physics, computational neuroscience, and biophysics / David Holcman, Zeev Schuss.
Uniform Title: | Applied mathematical sciences (Springer-Verlag New York Inc.) ;
v. 199. |
---|---|
Main Author: | |
Other Authors: | |
Language: | English |
Published: |
Cham, Switzerland :
Springer,
[2018], ©2018.
|
Series: | Applied mathematical sciences (Springer-Verlag New York Inc.) ;
v. 199. |
Subjects: | |
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.