# 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} }

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… Expand

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