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Boundary value problems for equations of mixed type. I: The Lavrent’ev - Bitsadze model. (English) Zbl 0358.35055


MSC:

35M99 Partial differential equations of mixed type and mixed-type systems of partial differential equations
35L05 Wave equation
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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[1] DOI: 10.1002/cpa.3160020206 · Zbl 0034.20103 · doi:10.1002/cpa.3160020206
[2] Fedorjuk M. V., Dokl. Akad. Nauk SSSR 196 pp 309– (1971)
[3] DOI: 10.1002/cpa.3160110306 · Zbl 0083.31802 · doi:10.1002/cpa.3160110306
[4] Kondrat’ev V. A., Trans. Moscos Math. Soc., Pudy 16 (1967)
[5] Kondrat’ev V. A., Dokl. Akad. Nauk SSSR 153 pp 17– (1963)
[6] Lavrent’ey M. A., Dokl. Akad. Nauk SSSR 70 pp 373– (1954)
[7] Lax P. D., Duke Math. J 24 pp 1– (1952)
[8] DOI: 10.1002/cpa.3160230404 · doi:10.1002/cpa.3160230404
[9] Morawetz C. S., Rendiconti di Mat 25 pp 1– (1966)
[10] DOI: 10.1002/cpa.3160110305 · Zbl 0081.31201 · doi:10.1002/cpa.3160110305
[11] Protter M. H., J. Rat. Mech. Anal. IV 2 pp 107– (1953)
[12] DOI: 10.1002/cpa.3160190104 · Zbl 0137.29901 · doi:10.1002/cpa.3160190104
[13] Tricomi F., A t t i Accad. Naz. Lincei, Rend 14 pp 133– (1923)
[14] DOI: 10.1215/S0012-7094-57-02415-8 · Zbl 0077.06201 · doi:10.1215/S0012-7094-57-02415-8
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