@article{M2AN_1985__19_2_327_0,
author = {Vanninathan, M. and Veerappa Gowda, G. D.},
title = {On the regularity of the variational solution of the {Tricomi} problem in the elliptic region},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {327--340},
year = {1985},
publisher = {AFCET - Gauthier-Villars},
address = {Paris},
volume = {19},
number = {2},
mrnumber = {802598},
zbl = {0573.35067},
language = {en},
url = {https://www.numdam.org/item/M2AN_1985__19_2_327_0/}
}
TY - JOUR AU - Vanninathan, M. AU - Veerappa Gowda, G. D. TI - On the regularity of the variational solution of the Tricomi problem in the elliptic region JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1985 SP - 327 EP - 340 VL - 19 IS - 2 PB - AFCET - Gauthier-Villars PP - Paris UR - https://www.numdam.org/item/M2AN_1985__19_2_327_0/ LA - en ID - M2AN_1985__19_2_327_0 ER -
%0 Journal Article %A Vanninathan, M. %A Veerappa Gowda, G. D. %T On the regularity of the variational solution of the Tricomi problem in the elliptic region %J ESAIM: Modélisation mathématique et analyse numérique %D 1985 %P 327-340 %V 19 %N 2 %I AFCET - Gauthier-Villars %C Paris %U https://www.numdam.org/item/M2AN_1985__19_2_327_0/ %G en %F M2AN_1985__19_2_327_0
Vanninathan, M.; Veerappa Gowda, G. D. On the regularity of the variational solution of the Tricomi problem in the elliptic region. ESAIM: Modélisation mathématique et analyse numérique, Tome 19 (1985) no. 2, pp. 327-340. https://www.numdam.org/item/M2AN_1985__19_2_327_0/
[1] and , Handbook of Mathematical Functions, Dover Publications Inc., New York, 1970.
[2] , Mathematical Aspects of Subsonic and Transonic Gas Dynamics, John Wiley, New York, 1958. | Zbl | MR
[3] , Equations of the Mixed Type, Macmillan, New York, 1964. | Zbl | MR
[4] , The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1978. | Zbl | MR
[5] and , A Finite Element Method for a boundary value problem of mixed type, SIAM J. Numer. Anal., 16 (5) (1979), pp. 756-778. | Zbl | MR
[6] and , Transonic Aerodynamics, Academic Press, New York, 1968. | Zbl
[7] , , Solutions Elémentaires de certaines Equations aux dérivées partielles du type mixte, Bull. Soc. Math. Fr. 81 (1953), pp. 145-174. | Zbl | MR | Numdam
[8] , Behaviour of the solutions of an elliptic boundary value problem in a polygonal or polyhedral domain, Numerical solutions of Partial Differential Equations III. Synspade 1975, Bert Hubbord Ed., pp. 207-274. | Zbl | MR
[9] , Perturbation Theory for Linear Operators, Springer Verlag, New York, 1966. | Zbl | MR
[10] , Boundary problems for Elliptic Equations in Domains with conical or Angular points, Trans. Moscow. Math. Soc., Trudy, Vol. 16 (1967), (Russian), pp. 209-292. AMS Translations, 1968. | Zbl | MR
[11] , A uniqueness theorem for Frankl's problem, Comm. Pure Appl. Math., 7 (1954), pp. 697-703. | Zbl | MR
[12] , A weak solution for a system of equations of elliptic-hyperbolic type, Comm. Pure Appl. Math., 11 (1958), pp. 315-331. | Zbl | MR
[13] , Uniqueness for the analogue of the Neumann problem for Mixed Equations, The Michigan Math. J., 4 (1957), pp. 5-14. | Zbl | MR
[14] , ; , Il profil alose ad arco di cerchio in flusso transonico continuo senzi incidenza, Annali di Mat. Pura ed applicat, 84 (1970), pp. 341-374. | Zbl
[15] , Boundary value problems for Equations of Mixed Type I, The Lavrentiev-Bitsadze Model, Comm. PDE, 2 (5) (1977), pp. 499-547. | Zbl | MR
[16] , A functional method of solving Tricomi Problem, Differencial'nye Uravneniya, 4 (1968), pp. 63-73 (Russian). | Zbl | MR
[17] and , Functions of Mathematical Physics, van Nostrand, London, 1970. | Zbl
[18] and , An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, N. J., 1973. | Zbl | MR
[19] , A Finite Element Method for the Tricomi Problem in the elliptic region, SIAM J. Numer. Anal., 14 (1977), pp. 1066-1077. | Zbl | MR
[20] , A Finite Element Method for the Tricomi Problem in the Elliptic Region, Thesis, Cornell University, Ithaca, N. Y. 1975.
[21] , Introduction to Pseudo-Differential Operators and Fourier Integral Operators, Vol. I, Plenum Press, NewYork, 1980. | Zbl
[22] , Imbedding and Extension theorems for a class of functions, II, Sib. Math. J., 7 (1966), pp. 409-418 (Russian). | MR
[23] and , Approximation of Tricomi. Problem with Neumann Boundary Condition, To appear. | Zbl | MR





