We consider second-order parabolic equations with time indepen- dent coefficients. Under reasonable assumptions, it is known that the fun- damental solution satisfies certain Gaussian bounds related to the associated geodesic distance. In this article we prove a sharp unique continuation property at the initial time which matches exactly the above-mentioned kernel bounds.

Unique continuation for second-order parabolic operators at the initial time

ALBANO, PAOLO;
2004

Abstract

We consider second-order parabolic equations with time indepen- dent coefficients. Under reasonable assumptions, it is known that the fun- damental solution satisfies certain Gaussian bounds related to the associated geodesic distance. In this article we prove a sharp unique continuation property at the initial time which matches exactly the above-mentioned kernel bounds.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/7291
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