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Harmonic Analysis and Nonlinear Differential Equations: A Volume in Honor of Victor L. Shapiro
 
Edited by: Michel L. Lapidus University of California, Riverside, Riverside, CA
Lawrence H. Harper University of California, Riverside, Riverside, CA
Adolfo J. Rumbos Pomona College, Claremont, CA
Harmonic Analysis and Nonlinear Differential Equations
eBook ISBN:  978-0-8218-7799-9
Product Code:  CONM/208.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Harmonic Analysis and Nonlinear Differential Equations
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Harmonic Analysis and Nonlinear Differential Equations: A Volume in Honor of Victor L. Shapiro
Edited by: Michel L. Lapidus University of California, Riverside, Riverside, CA
Lawrence H. Harper University of California, Riverside, Riverside, CA
Adolfo J. Rumbos Pomona College, Claremont, CA
eBook ISBN:  978-0-8218-7799-9
Product Code:  CONM/208.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2081997; 350 pp
    MSC: Primary 35; 42; 76;

    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.

    Readership

    Graduate students and research mathematicians interested in recent developments in harmonic analysis and nonlinear partial differential equations; researchers interested in black holes, turbulence, multiple trigonometric series, dyadic harmonic analysis, and analysis on fractals; physicists and engineers.

  • Table of Contents
     
     
    • Articles
    • Victor L. Shapiro — From reaction-diffusion to spherical harmonics [ MR 1467000 ]
    • J. Marshall Ash and Gang Wang — A survey of uniqueness questions in multiple trigonometric series [ MR 1467001 ]
    • Richard Askey — A new look at some old trigonometric expansions [ MR 1467002 ]
    • Jean Bourgain — Analysis results and problems related to lattice points on surfaces [ MR 1467003 ]
    • Jose F. Caicedo and Alfonso Castro — A semilinear wave equation with derivative of nonlinearity containing multiple eigenvalues of infinite multiplicity [ MR 1467004 ]
    • Allan L. Edelson — The structure of the solutions to semilinear equations at a critical exponent [ MR 1467005 ]
    • Ciprian Foias — What do the Navier-Stokes equations tell us about turbulence? [ MR 1467006 ]
    • L. H. Harper — A reminiscence and survey of solutions to a JPL coding problem [ MR 1467007 ]
    • Morris W. Hirsch — Weak limit sets of differential equations [ MR 1467008 ]
    • Michel L. Lapidus — Towards a noncommutative fractal geometry? Laplacians and volume measures on fractals [ MR 1467009 ]
    • Howard A. Levine, Patrizia Pucci and James Serrin — Some remarks on global nonexistence for nonautonomous abstract evolution equations [ MR 1467010 ]
    • Shawnee L. McMurran and James J. Tattersall — Cartwright and Littlewood on van der Pol’s equation [ MR 1467011 ]
    • Adolfo J. Rumbos and Victor L. Shapiro — One-sided resonance for a quasilinear variational problem [ MR 1467012 ]
    • J. A. Smoller and J. B. Temple — Shock-waves in general relativity [ MR 1467013 ]
    • William R. Wade — Dyadic harmonic analysis [ MR 1467014 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2081997; 350 pp
MSC: Primary 35; 42; 76;

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.

Readership

Graduate students and research mathematicians interested in recent developments in harmonic analysis and nonlinear partial differential equations; researchers interested in black holes, turbulence, multiple trigonometric series, dyadic harmonic analysis, and analysis on fractals; physicists and engineers.

  • Articles
  • Victor L. Shapiro — From reaction-diffusion to spherical harmonics [ MR 1467000 ]
  • J. Marshall Ash and Gang Wang — A survey of uniqueness questions in multiple trigonometric series [ MR 1467001 ]
  • Richard Askey — A new look at some old trigonometric expansions [ MR 1467002 ]
  • Jean Bourgain — Analysis results and problems related to lattice points on surfaces [ MR 1467003 ]
  • Jose F. Caicedo and Alfonso Castro — A semilinear wave equation with derivative of nonlinearity containing multiple eigenvalues of infinite multiplicity [ MR 1467004 ]
  • Allan L. Edelson — The structure of the solutions to semilinear equations at a critical exponent [ MR 1467005 ]
  • Ciprian Foias — What do the Navier-Stokes equations tell us about turbulence? [ MR 1467006 ]
  • L. H. Harper — A reminiscence and survey of solutions to a JPL coding problem [ MR 1467007 ]
  • Morris W. Hirsch — Weak limit sets of differential equations [ MR 1467008 ]
  • Michel L. Lapidus — Towards a noncommutative fractal geometry? Laplacians and volume measures on fractals [ MR 1467009 ]
  • Howard A. Levine, Patrizia Pucci and James Serrin — Some remarks on global nonexistence for nonautonomous abstract evolution equations [ MR 1467010 ]
  • Shawnee L. McMurran and James J. Tattersall — Cartwright and Littlewood on van der Pol’s equation [ MR 1467011 ]
  • Adolfo J. Rumbos and Victor L. Shapiro — One-sided resonance for a quasilinear variational problem [ MR 1467012 ]
  • J. A. Smoller and J. B. Temple — Shock-waves in general relativity [ MR 1467013 ]
  • William R. Wade — Dyadic harmonic analysis [ MR 1467014 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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