Continuum limit of 2D fractional nonlinear Schrödinger equation
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00028-023-00881-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7518 |
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oai:localhost:PNK-75182023-04-05T01:36:32Z Continuum limit of 2D fractional nonlinear Schrödinger equation Brian, Choi Alejandro, Aceves L2(R2) explicit computation CC BY We prove that the solutions to the discrete nonlinear Schrödinger equation with non-local algebraically decaying coupling converge strongly in L2(R2) to those of the continuum fractional nonlinear Schrödinger equation, as the discretization parameter tends to zero. The proof relies on sharp dispersive estimates that yield the Strichartz estimates that are uniform in the discretization parameter. An explicit computation of the leading term of the oscillatory integral asymptotics is used to show that the best constants of a family of dispersive estimates blow up as the non-locality parameter α∈(1,2) approaches the boundaries. 2023-04-05T01:36:32Z 2023-04-05T01:36:32Z 2023 Book https://link.springer.com/article/10.1007/s00028-023-00881-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7518 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
L2(R2) explicit computation |
| spellingShingle |
L2(R2) explicit computation Brian, Choi Alejandro, Aceves Continuum limit of 2D fractional nonlinear Schrödinger equation |
| description |
CC BY |
| format |
Book |
| author |
Brian, Choi Alejandro, Aceves |
| author_facet |
Brian, Choi Alejandro, Aceves |
| author_sort |
Brian, Choi |
| title |
Continuum limit of 2D fractional nonlinear Schrödinger equation |
| title_short |
Continuum limit of 2D fractional nonlinear Schrödinger equation |
| title_full |
Continuum limit of 2D fractional nonlinear Schrödinger equation |
| title_fullStr |
Continuum limit of 2D fractional nonlinear Schrödinger equation |
| title_full_unstemmed |
Continuum limit of 2D fractional nonlinear Schrödinger equation |
| title_sort |
continuum limit of 2d fractional nonlinear schrödinger equation |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s00028-023-00881-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7518 |
| _version_ |
1762365498194919424 |
| score |
8.887836 |