## Second-order systems of partial differential equations in the plane |

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### Contents

Classification of second order systems of partial differential | 1 |

Equivalence between systems of partial differential equations | 2 |

Classification of biquadratic forms | 6 |

Copyright | |

33 other sections not shown

### Common terms and phrases

_2bl Acta Scientiarum Naturalium analysis analytic function associate function bi-analytic function biquadratic characteristic form boundary conditions boundary value problems canonical form Cauchy integral formula Cauchy problem characteristic data characteristic lines class C1 complex roots continuous function deep beam subjected differentiable functions Dirichlet problem discrete phenomenon easy to check elliptic system existence and uniqueness find the solution function class function of type function with associate functional equation functions of second Goursat problem Hence homogeneous characteristic problem hyperbolic equations k_2bl l-ze l+k2 Lin Wei linear transformation load matrix necessary and sufficient Neumann problem non-unique solution obtain opposite vertex theorem pair of complex partial differential equations plane problem is unique problem of H problem of system Proof real number second order solution is unique solution of H solution of system sufficient condition system H unique solution uniquely solvable unit disk view of Theorem Wu Ci-Quian x-ky