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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,… Click to show full 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.
Keywords:
biharmonic equation;
equation discrete;
solution biharmonic;
regularized solution;
solution
Journal Title: Evolution Equations and Control Theory
Year Published: 2020
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Journal Title: Evolution Equations and Control Theory
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!