## Differential Equations with Applications to Mathematical PhysicsDifferential Equations with Applications to Mathematical Physics |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

1 | |

13 | |

25 | |

33 | |

Chapter 5 Nonlinear Volterra Integral Equations and The Apéry Identities | 51 |

Chapter 6 Connections Between Quantum Dynamics and Spectral Properties of TimeEvolution Operators | 59 |

Chapter 7 Quasilinear Reaction Diffusion Models for Exothermic Reaction | 69 |

Chapter 8 A Maximum Principle for Linear Cooperative Elliptic Systems | 79 |

Chapter 16 On Unique Continuation Theorem for Uniformly Elliptic Equations with Strongly Singular Potentials | 201 |

Chapter 17 Topics in the Spectral Methods in Numerical Computation Product Formulas | 213 |

Chapter 18 Atoms in the Magnetic Field of a Neutron Star | 221 |

Chapter 19 Algebraic Riccati Equations Arising in Game Theory and in HControl Problems for a Class of Abstract Systems | 239 |

Chapter 20 Symmetries and Symbolic Computation | 249 |

Chapter 21 On Stabilizing IllPosed Cauchy Problems for the NavierS tokes Equations | 261 |

Chapter 22 Evans Functions Melnikovs Integral and Solitary Wave Instabilities | 273 |

Chapter 23 Ground States of Degenerate Quasilinear Equations | 287 |

Chapter 9 Exact Solutions to Flows in Fluid Filled Elastic Tubes | 87 |

Chapter 10 Spectral Deformations and Soliton Equations | 101 |

Chapter 11 Nuclear Cusps Magnetic Fields and the Lavrentiev Phenomenon in ThomasFermi Theory | 141 |

Chapter 12 On Schrödinger Equation in Large Dimension and Connected Problems in Statistical Mechanics | 153 |

Chapter 13 Regularity of Solutions for Singular Schrödinger Equations | 167 |

Chapter 14 Linearization of Ordinary Differential Equations | 177 |

Chapter 15 Expansion of Continuous Spectrum Operators in Terms of Eigenprojections | 189 |

Chapter 24 Gradient Estimates Rearrangements and Symmetries | 307 |

Chapter 25 Purely Nonlinear Norm Spectra and Multidimensional Solitary Waves | 313 |

Chapter 26 On GelfandDickey Systems and Inelastic Solitons | 325 |

Chapter 27 Inertial Manifolds and Stabilization in Nonlinear Elastic Systems with Structural Damping | 335 |

347 | |

Mathematics in Science and Engineering | 351 |

### Other editions - View all

Differential Equations with Applications to Mathematical Physics William F. Ames,Evans M. Harrell,J. V. Herod No preview available - 1993 |

### Common terms and phrases

1993 by Academic Academic Press algebra Anal analysis Applications to Mathematical asymptotic atom classical coefficients compute consider constant convergence convex corresponding deﬁned Deﬁnition denotes density Differential Equations Dirichlet Dirichlet Laplacian divisors domain eigenfunctions eigenvalue energy Equations with Copyright essential spectrum estimate existence exponential ﬁnd ﬁnite ﬁrst ﬁxed form reserved formula function given Hamiltonian Hilbert space hyperelliptic curve implies inequality inﬁnite integral isospectral Lemma linear lower bound magnetic ﬁeld Math Mathematical All rights Maximum Principle method nonlinear norm obtain operator partial differential equations Phys Physics ISBN potential problem proof of Theorem prove quantum radial ground real—valued reﬂection region Riccati equation rights of reproduction satisﬁes satisfy Schriidinger Schrodinger self-adjoint self-adjoint operator semiclassical sequence singular solitary waves solitons solutions space spectral spectral gaps spectral theorem spectrum stability subspace symmetry tions variables W. F. Ames zero