臺灣博碩士論文加值系統

本文運用 S^μ_(ρ,δ) 符號集(symbol classes)的元素來定義擬微分算子， 並導出 S^μ_(ρ,δ) 的代數性質。我們將提出一些擬微分算子的重要性質，如完備符號(complete symbols)的存在性，以及擬微分算子的合成性質。最後介紹coercive邊界值問題的正則性(regularity)和有界卜松(Poisson)擬微分算子。

We define pseudo-differential operators with symbols in symbol classes S^μ_(ρ,δ) and derive algebraic properties of S^μ_(ρ,δ). Crucial propositions of pseudo-differential calculus, including existence of complete symbols and composition of pseudo-differential operators, are presented. Finally, a brief introduction is given on regularity of coercive boundary value problems and boundedness of pseudo-Poisson operators.

第一章Introduction........................................ 1
第二章Pseudo-Differential Operators....................... 4
第三章Pseudo-Differential Calculus........................ 7
第四章Continuity in Sobolev Spaces........................14
第五章Holder and L^p Estimates for Coercive Boundary Value Problems.................................................24

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