## Partial Differential Equations: Proceedings of a Symposium Held in Tianjin, June 23 - July 5, 1986The volume contains a selection of papers presented at the 7th Symposium on differential geometry and differential equations (DD7) held at the Nankai Institute of Mathematics, Tianjin, China, in 1986. Most of the contributions are original research papers on topics including elliptic equations, hyperbolic equations, evolution equations, non-linear equations from differential geometry and mechanics, micro-local analysis. |

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Analysis apply assume assumptions boundary boundary value bounded coefficient compact complete condition consider constant continuous convergent corresponding critical orbit critical point defined definition degenerate denote depends derivatives Differential Equations dimensional direction domain Edited elliptic energy equal equation estimate example exists fixed follows free boundary function Geometric given gives global Hence holds homogeneous implies independent inequality initial value problem integral Introduction isolated critical least Lemma linear manifold mapping Math Mathematics means measure method metric minimizing Moreover multiple neighbourhood nonlinear norm normal Note obtain operator orientation parabolic equation partial differential positive Proceedings proof properties Proposition prove regularity Remark respect satisfies shows similar singular smooth solution space Suppose surface symbol term Theorem theory tion uniformly unique vector weak