On approximation and error estimate  for  Poisson equation in Banach space

Authors
  • Devendra Kumar

    Department of Mathematics, University of Rajasthan, Jaipur-302004, India

Keywords:
Poisson equation, regularity, convergence rate, ill-posed problem
Abstract
This article investigates the Poisson equation inverse source problem. This is an ill-posed, i.e. a small change in the data will lead to a very large change in the solution. Therefore, a regularized solution is necessary. In this work, we construct the regularized solution by truncation method. We also investigate the convergent rate between the regularized solution and the sought solution in \(L^j(0,\pi)\).  
References

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Additional Files
Published
16-08-2024
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Section
Research Article
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Copyright (c) 2024 Devendra Kumar

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How to Cite

On approximation and error estimate  for  Poisson equation in Banach space. (2024). Letters on Applied and Pure Mathematics, 2(1), 35-41. https://doi.org/10.66147/lapm.20242127

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