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The Tricomi problem for second order systems of mixed type with parabolic degeneracy. (English) Zbl 1139.35082

Summary: The present article deals with the Tricomi problem for systems of second-order equations of mixed type with parabolic degeneracy. First the formulation of the problem for the systems is given, next the representations and estimates of solutions for the above problem are obtained, finally the existence of solutions for the problem is proved by the successive iteration and the method of parameter extension.

MSC:

35M10 PDEs of mixed type
Full Text: DOI

References:

[1] Bers L, Mathematical Aspects of Subsonic and Transonic Gas Dynamics (1958)
[2] Bitsadze AV, Some Classes of Partial Differential Equations (1988)
[3] DOI: 10.1142/9789814343077 · doi:10.1142/9789814343077
[4] Salakhitdinov MS, Soviet Mathematics Doklady 34 pp 133– (1987)
[5] Smirnov MM, Equations of Mixed Type (1978)
[6] DOI: 10.4324/9780203166581 · doi:10.4324/9780203166581
[7] DOI: 10.1002/mana.200310440 · Zbl 1246.35091 · doi:10.1002/mana.200310440
[8] DOI: 10.4153/CJM-1954-059-x · Zbl 0057.08101 · doi:10.4153/CJM-1954-059-x
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