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

Bibliographic Details
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:
Physical Description:xxiii, 444 pages : illustrations (some color) ; 25 cm.
Format: Book

MARC

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300 |a xxiii, 444 pages :  |b illustrations (some color) ;  |c 25 cm. 
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490 1 |a Applied mathematical sciences,  |x 0066-5452 ;  |v v. 199 
504 |a Includes bibliographical references (pages 421-437) and index. 
505 0 |a 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. 
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