## Second order equations with nonnegative characteristic form |

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### Contents

Introduction | 1 |

The first boundary value problem | 15 |

Existence of a weak solution of the first boundary value problem | 28 |

Copyright | |

4 other sections not shown

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### Common terms and phrases

analogous analytic functions assume belong to F belongs to class boundary value problem bounded function bounded uniformly Cauchy problem Chapter Clearly coefficients compact set condition for hypoellipticity consider the function const coordinates yx CQ(K defined denote depend differential operator domain ft easy elliptic connectivity elliptic equations elliptic operator Ep X0 equal to zero equations with nonnegative exists finite number Fourier transform fulfilled function f function u(x grad Green's formula holds inequality interior points last integral Lemma linear measurable function multi-index neighborhood nonnegative characteristic form norm obtain operator L(u operator with symbol plane ym point x0 points of 22 proof of Theorem pseudodifferential operator satisfying conditions second order equations sequence set of points smooth function solution of 1.1.4 space strong maximum principle sufficiently large sufficiently small supp Suppose system of operators theorem is proved tion valid variables vector field weak solution