An alternative approach to the oblique derivative problem in potential theory [Elektronische Ressource] / Frank Bauer

An Alternative Approach to theOblique Derivative Problemin Potential TheoryFrank BauerVom Fachbereich Mathematikder Universität Kaiserslauternzur Erlangung des akademischen GradesDoktor der Naturwissenschaften(Doctor rerum naturalium, Dr. rer. nat.)genehmigte Dissertation1. Gutachter: Prof. Dr. W. Freeden2. Gutachter: Prof. Dr. S. PereverzevVollzug der Promotion: 8. September 2004D 386This thesis has evolved with the advice, feedback and help of many people. In particularI would like to express my gratitude to Prof. Dr. W. Freeden for giving me the opportu-nity to work on this subject and supporting me with advice and suggestions throughoutmy time. Furthermore I would like to thank HDoz. Dr. V. Michel for valuable discus-sions and my cooperation partner Dr. P. Schwintzer for answering detailed questionsconcerning forthcoming satellite missions.A part of my work is concerning the symbolical solution of partial differential equations.At this point I would like to express my thanks to Dr. habil. W. Seiler, M. Hausdorf,HDoz. Dr. E. Zerz, Dr. A. Quadrat and in particular to V. Levandovskyy for theirvaluable ideas and directing me to important literature.Furthermore I would like to especially thank Prof. Dr. S. Pereverzev for giving a veryinteresting lecture course on inverse problems. This lecture constitutes the basis of mytreatment of severely ill-posed problems and gave rise to intense and fertile discussionson this topic.