Harmonic Analysis and Nonlinear Differential Equations: A Volume in Honor of Victor L. Shapiro : November 3-5, 1995, University of California, RiversideAmerican Mathematical Soc., 1997 - 350 páginas 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. |
Índice
| 1 | |
A Survey of Uniqueness Questions in Multiple Trigonometric Series | 35 |
A New Look at Some Old Trigonometric Expansions | 73 |
Analysis Results and Problems Related to Lattice Points on Surfaces | 85 |
A Semilinear Wave Equation with Derivative of Nonlinearity Containing Multiple Eigenvalues of Infinite Multiplicity | 111 |
The Structure of the Solutions to Semilinear Equations at a Critical Exponent | 133 |
What Do the NavierStokes Equations Tell Us about Turbulence? | 151 |
A Reminiscence and Survey of Solutions to a JPL Coding Problem | 181 |
Weak Limit Sets of Differential Equations | 197 |
Towards a Noncommutative Fractal Geometry? Laplacians and Volume Measures on Fractals | 211 |
Some Remarks on Global Nonexistence for Nonautonomous Abstract Evolution Equations | 253 |
Cartwright and Littlewood on Van der Pols Equation | 265 |
OneSided Resonance for a Quasilinear Variational Problem | 277 |
ShockWaves in General Relativity | 301 |
Dyadic Harmonic Analysis | 313 |
Otras ediciones - Ver todo
Harmonic Analysis and Nonlinear Differential Equations: A Volume in Honor of ... Victor Lenard Shapiro,Michel Laurent Lapidus,Lawrence Hueston Harper,Adolfo J. Rumbos No hay ninguna vista previa disponible - 1997 |
Términos y frases comunes
algebra Amer analogue apply assume attractor Banach space bounded c₁ Cartwright and Littlewood classical coefficients compact complex dimensions Conjecture constant continuous function convergence defined denote Dirichlet dyadic eigenvalue elliptic estimate everywhere example exists finite Fourier series geometric given harmonic analysis Hence holds implies inequality integrable J. E. Littlewood KiLal L¹(I Laplacian lattice points Lebesgue Lebesgue measure Lemma lim inf linear M. L. Cartwright Math Mathematics metric Mòricz multiple trigonometric series N₁ Navier-Stokes equations noncommutative noncommutative geometry nonlinear nonnegative norm obtain operator orthogonal oscillations paper partial sums polynomials positive problem Proc proof proved quasilinear result satisfies Schipp self-similar sequence set of divergence sets of uniqueness Shapiro shock-wave space spectral spherical subset summability Theorem 5.1 theory trigonometric series turbulence uniformly Walsh series Walsh system Walsh-Fourier series wave numbers Yoneda