## Partial differential equations, Volume 2Institute of Mathematics, Polish Academy of Sciences, 1992 - Differential equations, Partial - 580 pages |

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### Contents

LiEBERMAN On the natural generalization of the natural conditions of | 295 |

A LOPATNIKOV Asymptotic expansion of the heat kernel for a class of hypoelliptic | 309 |

A A LYASHENKO The first boundary value problem for the vibrating string equation | 317 |

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15 other sections not shown

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ACADEMY OF SCIENCES Anal assume assumption asymptotic BANACH CENTER PUBLICATIONS barotropic Besov spaces boundary conditions boundary value problem Cauchy coefficients compact compatibility conditions consider convex critical points defined definition denote derivatives differential forms elliptic equations equivalent existence of solutions exists a constant exponential attractors fluid Fuchsian function G RN gradient constraint Hence Hilbert spaces Holder Holder inequality holomorphic holomorphic functions homogeneous hyperbolic hyperfunction hypoelliptic implies INSTITUTE OF MATHEMATICS integer Lemma linear partial differential Lu(x Math MATHEMATICS POLISH ACADEMY matrix Mellin transform Moreover neighborhood Neumann boundary conditions nonlinear norm notation obstacle problem obtain parabolic Partial Differential Equations partial differential operator proof of Theorem properties proved regularity Remark respect Russian satisfies SCIENCES WARSZAWA 1992 Section selfadjoint singularities smooth Sobolev spaces SS(u sufficiently small Theorem 2.1 unilateral problem variational inequalities VOLUME 27 INSTITUTE