Existence of global solutions for the semilinear nonlocal fractional Cauchy problem of the Schrödinger equation
Abstract This paper is concerned with the global existence of solutions for the semilinear nonlocal fractional Cauchy problem of the Schrödinger equation. Firstly, based on the Schrödinger approximation technique and the theory of a family of potential wells, the authors obtain the invariant sets an...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-020-01328-1 |