Schrödinger奇异位置依赖质量方程

IF 0.7 3区数学 Q2 MATHEMATICS

Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2023-02-18 DOI:10.4171/zaa/1725

Michael Ruzhansky, Mohammed Elamine Sebih, N. Tokmagambetov

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引用次数: 0

摘要

我们考虑了具有奇异位置依赖有效质量的Schr\ odinger方程，并证明了它是非常弱适定的。在适当的意义上证明了一个唯一性结果，并证明了它与经典理论的一致性。特别地，这允许人们考虑类delta或更奇异的质量。

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Schrödinger equation with singular position dependent mass

We consider the Schr\"odinger equation with singular position dependent effective mass and prove that it is very weakly well posed. A uniqueness result is proved in an appropriate sense, moreover, we prove the consistency with the classical theory. In particular, this allows one to consider Delta-like or more singular masses.

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来源期刊

Zeitschrift fur Analysis und ihre Anwendungen 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Analysis and its Applications aims at disseminating theoretical knowledge in the field of analysis and, at the same time, cultivating and extending its applications. To this end, it publishes research articles on differential equations and variational problems, functional analysis and operator theory together with their theoretical foundations and their applications – within mathematics, physics and other disciplines of the exact sciences.