薛丁格算子前兩個固有值差距之下界估計

標題:	薛丁格算子前兩個固有值差距之下界估計 On the lower bounds of the first two eigenvalues in the Schrödinger operator
作者:	曹智翔 Tsao, Chih-Hsiang 許義容 Hsu, Yi-Jung 應用數學系所
關鍵字:	薛丁格;固有值;曹智翔;許義容;Schrödinger;Schrodinger;eigenvalues;eigenvalue
公開日期:	2009
摘要:	在這篇文章中，我們找到一個由一些微分不等式所組成的系統，這個系統的解可以使Gradient estimate 成立。適當選取這個系統的解，可以幫助我們估計薛丁格算子前兩個固有值差距之下界。 We find a system of differential inequalities under which the gradient estimate holds. Using appropriately chosen test functions, we find some lower bounds of the gap of the first two eigenvalues in the Schrödinger operator.
URI:	http://140.113.39.130/cdrfb3/record/nctu/#GT079722506 http://hdl.handle.net/11536/45062
Appears in Collections:	Thesis

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