Calderón-Zygmund estimates for Schrödinger equations revisited
We establish a global Calderón-Zygmund estimate for a quasilinear elliptic equation with a potential. If the potential has a reverse Hölder property, then the estimate was known in [6]. In this note, we observe that the estimate remains valid when the potential is merely Lebesgue integrable. Our pr...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2025-04-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://bmee.vgtu.lt/index.php/MMA/article/view/21702 |
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| _version_ | 1849698585179848704 |
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| author | Le Xuan Truong Nguyen Ngoc Trong Tan Duc Do |
| author_facet | Le Xuan Truong Nguyen Ngoc Trong Tan Duc Do |
| author_sort | Le Xuan Truong |
| collection | DOAJ |
| description |
We establish a global Calderón-Zygmund estimate for a quasilinear elliptic equation with a potential. If the potential has a reverse Hölder property, then the estimate was known in [6]. In this note, we observe that the estimate remains valid when the potential is merely Lebesgue integrable. Our proof is short and elementary.
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| format | Article |
| id | doaj-art-6b53cba307bd4678aaeaeebc59d71692 |
| institution | DOAJ |
| issn | 1392-6292 1648-3510 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj-art-6b53cba307bd4678aaeaeebc59d716922025-08-20T03:18:52ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102025-04-0130210.3846/mma.2025.21702Calderón-Zygmund estimates for Schrödinger equations revisitedLe Xuan Truong0Nguyen Ngoc Trong1Tan Duc Do2University of Economics Ho Chi Minh City (UEH), Ho Chi Minh City, VietnamDepartment of Mathematics, Ho Chi Minh City University of Education, Ho Chi Minh City, VietnamUniversity of Economics Ho Chi Minh City (UEH), Ho Chi Minh City, Vietnam We establish a global Calderón-Zygmund estimate for a quasilinear elliptic equation with a potential. If the potential has a reverse Hölder property, then the estimate was known in [6]. In this note, we observe that the estimate remains valid when the potential is merely Lebesgue integrable. Our proof is short and elementary. https://bmee.vgtu.lt/index.php/MMA/article/view/21702Calderón-Zygmund estimatesquasilinear Schrödinger equation |
| spellingShingle | Le Xuan Truong Nguyen Ngoc Trong Tan Duc Do Calderón-Zygmund estimates for Schrödinger equations revisited Mathematical Modelling and Analysis Calderón-Zygmund estimates quasilinear Schrödinger equation |
| title | Calderón-Zygmund estimates for Schrödinger equations revisited |
| title_full | Calderón-Zygmund estimates for Schrödinger equations revisited |
| title_fullStr | Calderón-Zygmund estimates for Schrödinger equations revisited |
| title_full_unstemmed | Calderón-Zygmund estimates for Schrödinger equations revisited |
| title_short | Calderón-Zygmund estimates for Schrödinger equations revisited |
| title_sort | calderon zygmund estimates for schrodinger equations revisited |
| topic | Calderón-Zygmund estimates quasilinear Schrödinger equation |
| url | https://bmee.vgtu.lt/index.php/MMA/article/view/21702 |
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