## Pʻien Wei Fen Fang Chʻeng, Volume 5 |

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16 pages matching **parabolic equations** in this book

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### Contents

On the Cauchy problem for the equation of finitedepth fluids | 1 |

Nonlinear superposition of delta waves in multidimensional space Fang Daoyuan 372 | 72 |

Exterior problem for the threedimensional Euler equations Zhang Pingwen 385 | 85 |

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### Common terms and phrases

algebra assume assumptions boundary conditions boundary value problem Cauchy problem classical solution compact completes the proof consider converges convex Corollary defined denote depends derivative Differential Equations Vol Dirichlet problem domain elliptic equations elliptic systems Euler equations exists a constant finite fluids G ft global smooth solution global solution Guo Boling Hamiltonian operator harmonic maps Hence Holder inequality holds implies independent integral integrodifferential equations Jb(R Key Words Laplacian Lax pairs Lemma linear Math Mathematics matrix maximum principle method monotone solution Nashpoint non-negative solutions nonlinear nonlinear elliptic equations norm obstacle problem obtain paper parabolic equations Partial Differential Equations positive constant positive solution priori estimates Proof Let proof of Theorem Proposition prove quasilinear regularity respectively result second order Section Sobolev space sufficiently small Suppose Theorem 1.1 unique solution variational inequality weak solution weakly zero