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.File in questo prodotto:
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