The Exterior Tricomi and Frankl Problem

作     者：JohnM.Rassias 

作者机构：The American College of Greece 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文版))

年 卷 期：1990年第4期

页      面：485-493页

基　　金：This research work was supporied by the Foundations C. A. P. E. S.(Coordcnacao de Aperfeicoamento do Pessoal de Ensino Superior) F. I. N. E. P. (Finan ciadora de Estudos e Projetos) by the Instute of Mathematical Sciences of Sao Carlos University of S 

主　　题：The Exterior Tricomi and Frankl Problem 

摘      要：F. G. Tricomi （1923—）, S. Gellerstedt （1935—）, *** （1945—）,A. V. Bitsadze and M. A. Lavrentiev （1950—）, M. H. Protter （1953—） and most of the recent workers in the field of mixed type boundary value problems have considered only one parabolic line of degeneracy. The problem with more than one parabolic line of degeneracy becomes more complicated. The above researchers and many others have restricted their attention to the Chaplygin equation:K（y）·u+u=f（x, y） and not considered the generalized Chaplygin equation:Lu=K（y）·u+u+r（x, y）·u=f（x, y） because of the difficulties that arise when r:=non-trivial （≠0）. Also it is unusual for anyone to study such problems in a doubly connected region. In this paper 1 consider a case of this type with two parabolic lines of degeneracy, r:= non-（?）≠（?）, in a doubly connected region,and such that boundary conditions are presenbed only on the exterior boundary of the mixed domain, and Ⅰobtam uniqueness （?） for quasllegular solutions