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- Title
Regularized solution for a biharmonic equation with discrete data.
- Authors
Thach, Tran Ngoc; Tuan, Nguyen Huy; O'Regan, Donal
- Abstract
In this work, we focus on the Cauchy problem for the biharmonic equation associated with random data. In general, the problem is severely ill-posed in the sense of Hadamard, i.e, the solution does not depend continuously on the data. To regularize the instable solution of the problem, we apply a nonparametric regression associated with the Fourier truncation method. Also we will present a convergence result.
- Subjects
SEPARATION of variables; BIHARMONIC equations; CAUCHY problem; DATA
- Publication
Evolution Equations & Control Theory, 2020, Vol 9, Issue 2, p341
- ISSN
2163-2472
- Publication type
Article
- DOI
10.3934/eect.2020008