The stability for the Cauchy problem for elliptic equations
Giovanni AlessandriniDipartimento di Matematica e Informatica, Università degli Studi di Trieste, via Valerio 12/1, 34127 Trieste, ItalyLuca RondiDipartimento di Matematica e Informatica, Università degli Studi di Trieste, via Valerio 12/1, 34127 Trieste, ItalyEdi RossetDipartimento di Matematica e Informatica, Università degli Studi di Trieste, via Valerio 12/1, 34127 Trieste, ItalySergio VessellaDIMAD, Università degli Studi di Firenze, via Lombroso 6/17, 50134 Firenze, Italy
2009en
ABI
Annotatsiya
We discuss the ill-posed Cauchy problem for elliptic equations, which is pervasive in inverse boundary value problems modeled by elliptic equations. We provide essentially optimal stability results, in wide generality and under substantially minimal assumptions. As a general scheme in our arguments, we show that all such stability results can be derived by the use of a single building brick, the three-spheres inequality.
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