臺灣博碩士論文加值系統

這篇論文主要是證明了二個唯一性定理和一個柯西問題解的存在性及它的
估計. 第一個定理是關於拋物線方程解的唯一性定理, 第二個定理是關於
熱方程解的唯一性定理, 第三個定理證明了柯西問題解的存在性及它的蕭
德估計(Schauder's estimates), 而由唯一性定理我們獲知只要是柯西問
題的解一定可做蕭德估計.

In this paper, we prove two uniqueness theorems and prove the
istence of solution for Cauchy problem and its Schauder'ss. The
first theorem is concerned to the uniqueness ofquation, the
second theorem is concerned tp theeat equation. The last
theorem is concerned to thee solution and its Schauder's
estimates for Cauchy problem. Moreover, by uniqueness theorem,
we know that theres a constant c satisfying the Schauder's
estimates for then of Cauchy problem.