We describe a duality method to prove both existence and uniqueness of solutions to nonlocal problems like (-Delta)(v)(s) = mu in R(N), with vanishing conditions at infinity. Here mu is a bounded Radon measure whose support is compactly contained in R(N), N >= 2, and -(Delta)(s) is the fractional Laplace operator of order s is an element of (1/2, 1).
A DUALITY APPROACH TO THE FRACTIONAL LAPLACIAN WITH MEASURE DATA / K. H., Karlsen; Petitta, Francesco; S., Ulusoy. - In: PUBLICACIONS MATEMÀTIQUES. - ISSN 0214-1493. - STAMPA. - 55:(2011), pp. 151-161. [10.5565/publmat_55111_07]
A DUALITY APPROACH TO THE FRACTIONAL LAPLACIAN WITH MEASURE DATA
PETITTA, FRANCESCO;
2011
Abstract
We describe a duality method to prove both existence and uniqueness of solutions to nonlocal problems like (-Delta)(v)(s) = mu in R(N), with vanishing conditions at infinity. Here mu is a bounded Radon measure whose support is compactly contained in R(N), N >= 2, and -(Delta)(s) is the fractional Laplace operator of order s is an element of (1/2, 1).File allegati a 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.
