Schrödinger-type identity for Schrödinger free boundary problems
Autor: | Duo Liu, Guodong Zhao, Xingjian Zhang, Zining Yan, Ye Yuan |
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Jazyk: | angličtina |
Rok vydání: | 2018 |
Předmět: |
Algebra and Number Theory
Partial differential equation 010102 general mathematics Mathematical analysis Boundary (topology) lcsh:QA299.6-433 lcsh:Analysis Type (model theory) Distribution 01 natural sciences 010101 applied mathematics Identity (mathematics) symbols.namesake Ordinary differential equation Product (mathematics) Free boundary problem symbols 0101 mathematics Nonlinear Sciences::Pattern Formation and Solitons Schrödinger-type identity Analysis Schrödinger's cat Mathematical physics Mathematics Schrödinger transform |
Zdroj: | Boundary Value Problems, Vol 2018, Iss 1, Pp 1-18 (2018) |
ISSN: | 1687-2770 |
DOI: | 10.1186/s13661-018-1058-z |
Popis: | Our aim in this paper is to develop a Schrodinger-type identity for a Schrodinger free boundary problem in $\mathbb{R}^{n}$ . As an application, we establish necessary and sufficient conditions for the product of some distributional functions to satisfy the Schrodinger-type identity. As a consequence, our results significantly improve and generalize previous work. |
Databáze: | OpenAIRE |
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