## The degenerate oblique derivative problem for elliptic and parabolic equations |

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### Contents

Introduction | 9 |

Tangential Oblique Derivative Problem for Quasilinear | 69 |

Tangential Oblique Derivative Problem for Second Order | 87 |

Copyright | |

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aij(x)Diju assume Banach space Besov spaces boundary condition boundary value problem bounded domain C2+a Chapter classical solution codimension coefficients cokernel compact compatibility conditions const defined degenerate oblique derivative degenerate problems Denote df/dL differential operator Dirichlet problem Du(x du/d du/dL elliptic operators emergent type exists extra condition finite length finite type Fredholm type function G dQ gradient Holder spaces implies integral curve interpolation inequality ISBN Lemma loss of regularity maximum principle metaplectic group microlocal Moreover neighborhood neutral type nonlinear norm oblique derivative problem order of contact Paneyakh parabolic equations parametrix point x,t positive constant priori estimate problem 3.7 proof of Theorem Proposition 3.2.5 proved quasilinear result satisfies condition second order semilinear seminorms set of tangency Sobolev spaces solution u G studied subelliptic estimates submanifold suppose tangential oblique derivative theory trajectory unique solution unit outward normal vector field xo,to zero initial data