The work treats the domain of 3D Laplace operator A with inverse square potential and its square. In the case when this operator is essentially self-adjoint, its domain has an explicit representation in terms of classical Sobolev spaces and the value of the function at the origin. If the coefficient of the inverse square potential is sufficiently large, then a similar characterization is obtained for A2.
On the Square of Laplacian with Inverse Square Potential
Georgiev V.;Rastrelli M.
2023-01-01
Abstract
The work treats the domain of 3D Laplace operator A with inverse square potential and its square. In the case when this operator is essentially self-adjoint, its domain has an explicit representation in terms of classical Sobolev spaces and the value of the function at the origin. If the coefficient of the inverse square potential is sufficiently large, then a similar characterization is obtained for A2.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
