On the solvability of the Cauchy problem for the Biharmonic equation
The present research is devoted to studying the solvability of the Cauchy problem for Biharmonic
equation. It is well known that the Cauchy problem for higher-order elliptic equations is ill-posed.
We construct an explicit representation of the solution using the Fourier transform. Furthermore,
we obtain several a priori estimates for the solution and prove the existence and uniqueness of the
solution in the class of analytic functions
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Uzbek Mathematical Journal, 2022, Volume 66, Issue 3, pp.5-14 DOI: 10.29229/uzmj.2022-4-1.
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