## Partial Differential Equations and Related Topics: Ford Foundation Sponsored Program at Tulane University, January to May, 1974 |

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### Contents

1 | |

Interpolation Classes for Monotone | 65 |

The Lefschetz Fixed Point | 96 |

Lº Decay Rates p Big sº | 123 |

The Dirichlet | 144 |

Exact Controllability | 166 |

On the Statistical Study of | 184 |

Asymptotic Behavior of Solu | 198 |

Inverse Problems | 247 |

The Method of Transmutations | 264 |

Stochastic Solutions of Hyperbolic | 283 |

Remarks on Some New Nonlinear | 301 |

Semilinear Wave Equations | 329 |

Lecture 1 Five Problems | 355 |

Lecture 2 The Mathematical | 370 |

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abstract Cauchy problem apply assume asymptotic Banach space boundary conditions bounded set BROWDER Cauchy problem coefficients compact subset constant continuous converges defined denote Dirichlet problem eacists eigenvalue elliptic estimates example exists fact fiaced finite fixed point follows formula function f given Hence heterozygote Hilbert space hyperbolic imply inequality initial data initial value problem integral Lefschetz number Lemma Let u(x,t lim inf limit theorem linear mapping Math Moreover nonlinear obtain open set operator OREM partial differential equations proof of Theorem Proposition 2.1 prove Radon transform random REMARK result satisfies Section sequence ſº Sobolev space solu SSSNSE Suppose theory tion topology trajectory transform transmutation u e H unique variable wave equation zero