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catalog abstract "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.".
catalog contributor b10944693.
catalog contributor b10944694.
catalog contributor b10944695.
catalog contributor b10944696.
catalog created "c1997.".
catalog date "1997".
catalog date "c1997.".
catalog dateCopyrighted "c1997.".
catalog description "From reaction-diffusion to spherical harmonics / Victor L. Shapiro -- A survey of uniqueness questions in multiple trigonometric series / J. Marshall Ash and Gang Wang -- A new look at some old trigonometric expansions / Richard Askey -- Analysis results and problems related to lattice points on surfaces / Jean Bourgain -- A semilinear wave equation with derivative of nonlinearity containing multiple eigenvalues of infinite multiplicity / Jose F. Caicedo and Alfonso Castro -- The structure of the solutions to semilinear equations at a critical exponent / Allan L. Edelson --What do the Navier-Stokes equations tell us about turbulence? / Ciprian Foias -- A reminiscence and survey of solutions to a JPL coding problem / L.H. Harper -- Weak limit sets of differential equations / Morris W. Hirsch -- Towards a noncommutative fractal geometry? Laplacians and volume measures on fractals / Michel L. Lapidus -- Some remarks on global nonexistence for nonautonomous abstract evolution equations / Howard A. Levine, Patrizia Pucci, and James Serrin -- Cartwright and Littlewood on Van der Pol's equation / Shawnee L. McMurran and James J. Tattersall -- One-sided resonance for a quasilinear variational problem / Adolfo J. Rumbos and Victor L. Shapiro -- Shock-waves in general relativity / J.A. Smoller and J.B. Temple -- Dyadic harmonic analysis / William R. Wade.".
catalog description "Includes bibliographical references.".
catalog description "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.".
catalog extent "xii, 350 p. :".
catalog identifier "0821805657 (acid-free paper)".
catalog isPartOf "Contemporary mathematics (American Mathematical Society) ; v. 208.".
catalog isPartOf "Contemporary mathematics, 0271-4132 ; 208".
catalog issued "1997".
catalog issued "c1997.".
catalog language "eng".
catalog publisher "Providence, R.I. : American Mathematical Society,".
catalog subject "515/.2433 21".
catalog subject "Differential equations, Nonlinear Congresses.".
catalog subject "Harmonic analysis Congresses.".
catalog subject "QA403 .H223 1997".
catalog tableOfContents "From reaction-diffusion to spherical harmonics / Victor L. Shapiro -- A survey of uniqueness questions in multiple trigonometric series / J. Marshall Ash and Gang Wang -- A new look at some old trigonometric expansions / Richard Askey -- Analysis results and problems related to lattice points on surfaces / Jean Bourgain -- A semilinear wave equation with derivative of nonlinearity containing multiple eigenvalues of infinite multiplicity / Jose F. Caicedo and Alfonso Castro -- The structure of the solutions to semilinear equations at a critical exponent / Allan L. Edelson --What do the Navier-Stokes equations tell us about turbulence? / Ciprian Foias -- A reminiscence and survey of solutions to a JPL coding problem / L.H. Harper -- Weak limit sets of differential equations / Morris W. Hirsch -- Towards a noncommutative fractal geometry? Laplacians and volume measures on fractals / Michel L. Lapidus -- Some remarks on global nonexistence for nonautonomous abstract evolution equations / Howard A. Levine, Patrizia Pucci, and James Serrin -- Cartwright and Littlewood on Van der Pol's equation / Shawnee L. McMurran and James J. Tattersall -- One-sided resonance for a quasilinear variational problem / Adolfo J. Rumbos and Victor L. Shapiro -- Shock-waves in general relativity / J.A. Smoller and J.B. Temple -- Dyadic harmonic analysis / William R. Wade.".
catalog title "Harmonic analysis and nonlinear differential equations : a volume in honor of Victor L. Shapiro : November 3-5, 1995, University of California, Riverside / Michel L. Lapidus, coordinating editor ; Lawrence H. Harper, Adolfo J. Rumbos, editors.".
catalog type "Conference proceedings. fast".
catalog type "text".