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Approximation of Tricomi problem with Neumann boundary condition. (English) Zbl 0527.65077


MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
35M99 Partial differential equations of mixed type and mixed-type systems of partial differential equations
35J70 Degenerate elliptic equations
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References:

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[2] Bers, L.: Mathematical Aspects of Subsonic and Transonic Gas Dynamics, New York: John Wiley 1958 · Zbl 0083.20501
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[6] Kato, T.: Perturbation Theory for Linear Operators. Berlin-Heidelberg-New York: Springer Verlag 1966 · Zbl 0148.12601
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[10] Morawetz, C.: A weak solution for a system of equation of elliptic-hyperbolic type. Comm. Pure Appl. Math.11, 315-331 (1958) · Zbl 0081.31201 · doi:10.1002/cpa.3160110305
[11] Morawetz, C.: Uniqueness for the analogue of the Neumann Problem for Mixed Equations. The Michigan Math. J.4, 5-14 (1957) · Zbl 0077.09602 · doi:10.1307/mmj/1028990169
[12] Pashkoviskii, V.: A functional method of solving Tricomi’s problem. Differencial’nye Uravneniya4, 63-73 (1968) (in Russian)
[13] Trangenstein, J.A.: A Finite Element method for the Tricomi problem in the elliptic region. SIAM J. Numer. Anal.14, 1066-1077 (1977) · Zbl 0399.65079 · doi:10.1137/0714073
[14] Uspenskii, S.: Imbedding and extension theorems for one class of functions. II, Sib. Math. J.7, 409-418 (1966) (in Russian)
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