## Lectures on partial and Pfaffian differential equations |

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### Contents

Partial Differential Equations of the Second Order in Two Variables | 3 |

SecondOrder Differential Equations and Integral Relations | 17 |

Differential Equations of Hyperbolic Type | 49 |

Copyright | |

20 other sections not shown

### Common terms and phrases

1st kind 2nd kind 2nd-order analytic assume boundary condition boundary curve boundary vector-family Cauchy problem Cauchy-Kowalewski theorem coefficients conformal mapping conjugate consider const constant continuous solution continuously differentiable converges coordinates corresponding defined determine elliptic system equa existence theorem expression exterior derivative exterior product follows Fredholm given Green's formula Green's function Hence Holder-continuous holds homogeneous boundary-value problem hyperbolic independent variables initial curve initial values integral conditions integral equation integral manifold integral relation integrand Lemma line-integral linear equations linearly independent maximum principle method neighbourhood normal form obtain parabolic partial differential equation Pfaffian derivatives Pfaffian equations Pfaffian form Pfaffian system plane prescribed proof prove quadratic form regular point representation formula Riemann Riemann function right-hand member satisfies second-order Section 4.4 singular space surface tangent theorem in Section tion transformation uniqueness theorem vanish vector