Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficient
This paper focused on the stability analysis of the Dirichlet-to-Neumann (DN) map for the fractional diffusion equation with a reaction coefficient $ q $. The main result provided a Hölder-type stability estimate for the map, which was formulated in terms of the Dirichlet eigenvalues and normal deri...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024260?viewType=HTML |
| _version_ | 1797303437572964352 |
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| author | Ridha Mdimagh Fadhel Jday |
| author_facet | Ridha Mdimagh Fadhel Jday |
| author_sort | Ridha Mdimagh |
| collection | DOAJ |
| description | This paper focused on the stability analysis of the Dirichlet-to-Neumann (DN) map for the fractional diffusion equation with a reaction coefficient $ q $. The main result provided a Hölder-type stability estimate for the map, which was formulated in terms of the Dirichlet eigenvalues and normal derivatives of eigenfunctions of the operator $ A_q : = -\Delta + q $. |
| first_indexed | 2024-03-07T23:53:00Z |
| format | Article |
| id | doaj.art-6dd71e0f02e54e7f8e82ec9ded20cf2e |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-07T23:53:00Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-6dd71e0f02e54e7f8e82ec9ded20cf2e2024-02-19T01:26:35ZengAIMS PressAIMS Mathematics2473-69882024-01-01935394540610.3934/math.2024260Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficientRidha Mdimagh0Fadhel Jday 11. Department of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah, Saudi Arabia3. ENIT-LAMSIN, University of Tunis El Manar, Tunisia2. Mathematics Department, Jamoum University College, Umm Al-Qura University, Saudi Arabia 3. ENIT-LAMSIN, University of Tunis El Manar, TunisiaThis paper focused on the stability analysis of the Dirichlet-to-Neumann (DN) map for the fractional diffusion equation with a reaction coefficient $ q $. The main result provided a Hölder-type stability estimate for the map, which was formulated in terms of the Dirichlet eigenvalues and normal derivatives of eigenfunctions of the operator $ A_q : = -\Delta + q $.https://www.aimspress.com/article/doi/10.3934/math.2024260?viewType=HTMLfractional diffusion equationdiffusion potentialdirichlet-to-neumann (dn) maphölder-type stabilityspectral decomposition |
| spellingShingle | Ridha Mdimagh Fadhel Jday Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficient AIMS Mathematics fractional diffusion equation diffusion potential dirichlet-to-neumann (dn) map hölder-type stability spectral decomposition |
| title | Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficient |
| title_full | Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficient |
| title_fullStr | Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficient |
| title_full_unstemmed | Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficient |
| title_short | Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficient |
| title_sort | spectral stability analysis of the dirichlet to neumann map for fractional diffusion equations with a reaction coefficient |
| topic | fractional diffusion equation diffusion potential dirichlet-to-neumann (dn) map hölder-type stability spectral decomposition |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024260?viewType=HTML |
| work_keys_str_mv | AT ridhamdimagh spectralstabilityanalysisofthedirichlettoneumannmapforfractionaldiffusionequationswithareactioncoefficient AT fadheljday spectralstabilityanalysisofthedirichlettoneumannmapforfractionaldiffusionequationswithareactioncoefficient |