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Regularized solution for a biharmonic equation with discrete data.
- Source :
- Evolution Equations & Control Theory; Jun2020, Vol. 9 Issue 2, p341-358, 18p
- Publication Year :
- 2020
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- SEPARATION of variables
BIHARMONIC equations
CAUCHY problem
DATA
Subjects
Details
- Language :
- English
- ISSN :
- 21632472
- Volume :
- 9
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Evolution Equations & Control Theory
- Publication Type :
- Academic Journal
- Accession number :
- 144613878
- Full Text :
- https://doi.org/10.3934/eect.2020008