We prove that every function u: R^{2} -> R of class C^{1}, satisfying the Perona-Malik equation for every (x,t) in R^{2}, is a stationary affine solution of the form u(x,t)=ax+b, where a and b are suitable real constants.
Entire solutions of the one-dimensional Perona-Malik equation
GOBBINO, MASSIMO
2007-01-01
Abstract
We prove that every function u: R^{2} -> R of class C^{1}, satisfying the Perona-Malik equation for every (x,t) in R^{2}, is a stationary affine solution of the form u(x,t)=ax+b, where a and b are suitable real constants.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.
