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
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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 
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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/