Harmonic Analysis and Nonlinear Differential Equations pdf epub mobi txt 电子书下载 2025

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出版者:American Mathematical Society

作者:Michel L. Lapidus

出品人:

页数:350

译者:

出版时间:1997-06

价格:USD 68.00

装帧:Paperback

isbn号码:9780821805657

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非线性偏微分方程
调和分析
调和分析
非线性微分方程
偏微分方程
泛函分析
傅里叶分析
常微分方程
数学分析
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具体描述

This volume is a collection of papers dealing with harmonic analysis and nonlinear differential equations and stems from a conference on these two areas and their interface held in November 1995 at the University of California, Riverside, in honor of V. L. Shapiro. There are four papers dealing directly with the use of harmonic analysis techniques to solve challenging problems in nonlinear partial differential equations. There are also several survey articles on recent developments in multiple trigonometric series, dyadic harmonic analysis, special functions, analysis on fractals, and shock waves, as well as papers with new results in nonlinear differential equations. These survey articles, along with several of the research articles, cover a wide variety of applications such as turbulence, general relativity and black holes, neural networks, and diffusion and wave propagation in porous media. A number of the papers contain open problems in their respective areas.

作者简介

目录信息

V. L. Shapiro -- From reaction-diffusion to spherical harmonics
J. M. Ash and G. Wang -- A survey of uniqueness questions in multiple trigonometric series
R. Askey -- A new look at some old trigonometric expansions
J. Bourgain -- Analysis results and problems related to lattice points on surfaces
J. F. Caicedo and A. Castro -- A semilinear wave equation with derivative of nonlinearity containing multiple eigenvalues of infinite multiplicity
A. L. Edelson -- The structure of the solutions to semilinear equations at a critical exponent
C. Foias -- What do the Navier-Stokes equations tell us about turbulence?
L. H. Harper -- A reminiscence and survey of solutions to a JPL coding problem
M. W. Hirsch -- Weak limit sets of differential equations
M. L. Lapidus -- Towards a noncommutative fractal geometry? Laplacians and volume measures on fractals
H. A. Levine, P. Pucci, and J. Serrin -- Some remarks on global nonexistence for nonautonomous abstract evolution equations
S. L. McMurran and J. J. Tattersall -- Cartwright and Littlewood on Van der Pol's equation
A. J. Rumbos and V. L. Shapiro -- One-sided resonance for a quasilinear variational problem
J. A. Smoller and J. B. Temple -- Shock-waves in general relativity
W. R. Wade -- Dyadic harmonic analysis
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