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Currently displaying 1 – 3 of 3

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Three cylinder inequalities and unique continuation properties for parabolic equations

Sergio Vessella — 2002

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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 $S$ .

On Continuous Dependence, on Noncharacteristic Cauchy Data, for Level Lines of Solutions of the Heat Equation.

Paolo Manselli; Sergio Vessella — 1991

Forum mathematicum

Optimal stability for inverse elliptic boundary value problems with unknown boundaries

Giovanni Alessandrini; Elena Beretta; Edi Rosset; Sergio Vessella — 2000

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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