## Partial differential equations |

### What people are saying - Write a review

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

### Contents

THE METHOD OF POWER SERIES | 1 |

EQUATIONS OF THE FIRST ORDER | 18 |

CLASSIFICATION OF PARTIAL | 57 |

Copyright | |

14 other sections not shown

### Other editions - View all

### Common terms and phrases

analytic function arbitrary boundary condition boundary dD boundary value problem bounded canonical form Cauchy data Cauchy problem circle coefficients complex domain const constant convergence corresponding defined difference equation Dirichlet integral Dirichlet problem domain of dependence dx dy eigenfunctions eigenvalues elliptic equation establish Exercise existence extremal problem finite difference flow Fredholm free boundary free streamline fundamental solution Green's function harmonic function hyperbolic equation identity independent variables inequality initial curve initial data initial value problem integral equation kernel Laplace's equation linear maximum principle method Neumann problem nonlinear normal derivative obtain ordinary differential equations parameter partial derivatives partial differential equation plane prescribed proof quasi-linear region representation result Riemann function satisfies second order Section sequence Show singularity solution of Cauchy's solution of Dirichlet's solve space surface theorem transformation uniqueness vanishes vector wave equation zero