We are interested in the boundedness of the solutions to a Schrödinger type equation, with an integrable, sign changing potential. The sufficient condition for the boundedness relies on the integrability of a function involving both the isocapacitary function of the domain and the decreasing rearrangement of the negative part of the potential.
L∞ boundedness of the solutions to the Schrödinger equation on noncompact Riemannian manifolds / Barletta, Giuseppina. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 439:(2025). [10.1016/j.jde.2025.113413]
L∞ boundedness of the solutions to the Schrödinger equation on noncompact Riemannian manifolds
Barletta, Giuseppina
2025-01-01
Abstract
We are interested in the boundedness of the solutions to a Schrödinger type equation, with an integrable, sign changing potential. The sufficient condition for the boundedness relies on the integrability of a function involving both the isocapacitary function of the domain and the decreasing rearrangement of the negative part of the potential.File in questo prodotto:
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