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, G.. - 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:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Barletta_2025_j.jde_boundedness_editor.pdf
accesso aperto
Descrizione: file articolo
Tipologia:
Versione Editoriale (PDF)
Licenza:
Creative commons
Dimensione
404.59 kB
Formato
Adobe PDF
|
404.59 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
