Geodesic
Quasi-Regular Solutions for 3D Equations of Tricomi and Keldish Types
Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 173-179 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

Voir la notice de l'acte

Some 3D boundary value problems for equations of mixed type are studied. For equations of Tricomi type they are formulated by M. Protter in 1952 as three-dimensional analogues of the plane Darboux or Cauchy-Goursat problems. It is well-known that the new problems are strongly ill-posed. We formulate a new boundary value problem for equations of Keldish type and give a notion for quasi-regular solutions to this problem and to one of Protter problems. Sufficient conditions for uniqueness of such solution are found.
Keywords: Mixed Type Equations, Tricomi, Keldish, Boundary Value Problems, Quasi-Regular Solutions, Classical Solutions 
@incollection{MEM_2012_41_1_a15,
     author = {Hristov, Tsvetan and Popivanov, Nedyu and Schneider, Manfred},
     title = {Quasi-Regular {Solutions} for {3D} {Equations} of {Tricomi} and {Keldish} {Types}},
     booktitle = {},
     series = {Mathematics and Education in Mathematics},
     pages = {173--179},
     year = {2012},
     volume = {41},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a15/}
}
TY  - JOUR
AU  - Hristov, Tsvetan
AU  - Popivanov, Nedyu
AU  - Schneider, Manfred
TI  - Quasi-Regular Solutions for 3D Equations of Tricomi and Keldish Types
JO  - Mathematics and Education in Mathematics
PY  - 2012
SP  - 173
EP  - 179
VL  - 41
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a15/
LA  - en
ID  - MEM_2012_41_1_a15
ER  - 
%0 Journal Article
%A Hristov, Tsvetan
%A Popivanov, Nedyu
%A Schneider, Manfred
%T Quasi-Regular Solutions for 3D Equations of Tricomi and Keldish Types
%J Mathematics and Education in Mathematics
%D 2012
%P 173-179
%V 41
%N 1
%U http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a15/
%G en
%F MEM_2012_41_1_a15
Hristov, Tsvetan; Popivanov, Nedyu; Schneider, Manfred. Quasi-Regular Solutions for 3D Equations of Tricomi and Keldish Types. Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 173-179. http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a15/