• Corpus ID: 119270403

# On the absence of Volterra correct restrictions and extensions of the Laplace operator

```@article{Biyarov2016OnTA,
title={On the absence of Volterra correct restrictions and extensions of the Laplace operator},
author={Bazarkan N. Biyarov},
journal={arXiv: Functional Analysis},
year={2016}
}```
• B. Biyarov
• Published 30 January 2016
• Mathematics
• arXiv: Functional Analysis
At the beginning of the last century J. Hadamard constructed the well-known example illustrating the incorrectness of the Cauchy problem for elliptic-type equations. If the Cauchy problem for some differential equation is correct, then it is usually a Volterra problem, i.e., the inverse operator is a Volterra operator. At present, not a single Volterra correct restriction or extension for elliptic-type equations is known. In the present paper, we prove the absence of Volterra correct…
1 Citations

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