We prove the following unique continuation property. Let u be a solution of a second order linear parabolic equation and S a segment parallel to the t-axis. If u has a zero of order faster than any non constant and time independent polynomial at each point of S then u vanishes in each point, (x, t′), such that the plane t = t′ has a non empty intersection with S.
THREE CYLINDER INEQUALITIES AND UNIQUE CONTINUATION PROPERTIES FOR PARABOLIC EQUATIONS / S. VESSELLA. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1720-0768. - STAMPA. - 13:(2002), pp. 107-120.
THREE CYLINDER INEQUALITIES AND UNIQUE CONTINUATION PROPERTIES FOR PARABOLIC EQUATIONS
VESSELLA, SERGIO
2002
Abstract
We prove the following unique continuation property. Let u be a solution of a second order linear parabolic equation and S a segment parallel to the t-axis. If u has a zero of order faster than any non constant and time independent polynomial at each point of S then u vanishes in each point, (x, t′), such that the plane t = t′ has a non empty intersection with S.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.