TY - JOUR
T1 - Journal of Global Optimization
T2 - Preface
AU - Maugeri, Antonino
AU - Venkatesha Murthy, M. K.
AU - Trudinger, Neil S.
PY - 2008/3
Y1 - 2008/3
N2 - Some of the papers and lectures devoted to the memory of Sergio Campanato and Guido Stampacchia, delivered during the International Conference titled 'Variational Analysis and Partial Differential Equations' held on 5-14 July 2006 are presented. The regularization theory was one of the predominant interests of Sergio Campanato, and he was concerned with the way of finding a general regularization methodology from which the regularity results in all the tough situations could be derived. He developed a methodology in which one has to study the ratio of the Lp norms on concentric balls of different radii of a solution of a class of second order differential systems depends on the ratio of the radii. Sergio searched solutions for partial differential equations by showing the existence of a unique solution of the Dirichlet problem in the class W2,p(Ω), p∈ (2 - ε, 2 + ε) and also some regularity results.
AB - Some of the papers and lectures devoted to the memory of Sergio Campanato and Guido Stampacchia, delivered during the International Conference titled 'Variational Analysis and Partial Differential Equations' held on 5-14 July 2006 are presented. The regularization theory was one of the predominant interests of Sergio Campanato, and he was concerned with the way of finding a general regularization methodology from which the regularity results in all the tough situations could be derived. He developed a methodology in which one has to study the ratio of the Lp norms on concentric balls of different radii of a solution of a class of second order differential systems depends on the ratio of the radii. Sergio searched solutions for partial differential equations by showing the existence of a unique solution of the Dirichlet problem in the class W2,p(Ω), p∈ (2 - ε, 2 + ε) and also some regularity results.
UR - http://www.scopus.com/inward/record.url?scp=38949097796&partnerID=8YFLogxK
U2 - 10.1007/s10898-007-9272-8
DO - 10.1007/s10898-007-9272-8
M3 - Article
SN - 0925-5001
VL - 40
SP - 1
EP - 5
JO - Journal of Global Optimization
JF - Journal of Global Optimization
IS - 1-3
ER -