The stability for the Cauchy problem for elliptic equations

Content Provider	Semantic Scholar
Author	Alessandrini, Giovanni Rondi, Luca Rosset, Edi Vessella, Sergio
Copyright Year	2009
Abstract	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. Mathematics Subject Classification (2000) Primary 35R25. Secondary 35B60, 35R30, 31A15, 30C62, 30G20.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://arxiv.org/pdf/0907.2882v1.pdf
Language	English
Access Restriction	Open
Subject Keyword	Mathematics Subject Classification Neoplasm Metastasis Social inequality Well-posed problem
Content Type	Text
Resource Type	Article