Structural Stability of Pseudo-Parabolic Equations for Basic Data
This article investigates the spatial decay properties and continuous dependence on the basic geometric structure. Assuming that the total potential energy is bounded and the homogeneous Dirichlet condition is satisfied on the side of the solution within the cylindrical domain, we establish an auxil...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-11-01
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| Series: | Mathematical and Computational Applications |
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| Online Access: | https://www.mdpi.com/2297-8747/29/6/105 |
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| author | Yanping Wang Yuanfei Li |
| author_facet | Yanping Wang Yuanfei Li |
| author_sort | Yanping Wang |
| collection | DOAJ |
| description | This article investigates the spatial decay properties and continuous dependence on the basic geometric structure. Assuming that the total potential energy is bounded and the homogeneous Dirichlet condition is satisfied on the side of the solution within the cylindrical domain, we establish an auxiliary function related to the solution. By extending the data at the finite end forward, we can establish the continuous dependence on the perturbation of base data. |
| format | Article |
| id | doaj-art-ac2ae71c11484c2d8aef0aa2023eb949 |
| institution | DOAJ |
| issn | 1300-686X 2297-8747 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematical and Computational Applications |
| spelling | doaj-art-ac2ae71c11484c2d8aef0aa2023eb9492025-08-20T02:43:50ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472024-11-0129610510.3390/mca29060105Structural Stability of Pseudo-Parabolic Equations for Basic DataYanping Wang0Yuanfei Li1School of Data Science, Guangzhou Huashang College, Guangzhou 511300, ChinaSchool of Data Science, Guangzhou Huashang College, Guangzhou 511300, ChinaThis article investigates the spatial decay properties and continuous dependence on the basic geometric structure. Assuming that the total potential energy is bounded and the homogeneous Dirichlet condition is satisfied on the side of the solution within the cylindrical domain, we establish an auxiliary function related to the solution. By extending the data at the finite end forward, we can establish the continuous dependence on the perturbation of base data.https://www.mdpi.com/2297-8747/29/6/105pseudo parabolic equationdisturbance datacontinuous dependence |
| spellingShingle | Yanping Wang Yuanfei Li Structural Stability of Pseudo-Parabolic Equations for Basic Data Mathematical and Computational Applications pseudo parabolic equation disturbance data continuous dependence |
| title | Structural Stability of Pseudo-Parabolic Equations for Basic Data |
| title_full | Structural Stability of Pseudo-Parabolic Equations for Basic Data |
| title_fullStr | Structural Stability of Pseudo-Parabolic Equations for Basic Data |
| title_full_unstemmed | Structural Stability of Pseudo-Parabolic Equations for Basic Data |
| title_short | Structural Stability of Pseudo-Parabolic Equations for Basic Data |
| title_sort | structural stability of pseudo parabolic equations for basic data |
| topic | pseudo parabolic equation disturbance data continuous dependence |
| url | https://www.mdpi.com/2297-8747/29/6/105 |
| work_keys_str_mv | AT yanpingwang structuralstabilityofpseudoparabolicequationsforbasicdata AT yuanfeili structuralstabilityofpseudoparabolicequationsforbasicdata |