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.
2002
13
107
120
S. VESSELLA
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/2412
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