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Initial boundary value problems for incompletely parabolic systems. (English) Zbl 0351.35051


MSC:

35K45 Initial value problems for second-order parabolic systems
35M99 Partial differential equations of mixed type and mixed-type systems of partial differential equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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References:

[1] Agranovich, Funct. Anal. Appl. 6 pp 85– (1972)
[2] Belov, Math. Notes Acad. Sci. 10 pp 480– (1971)
[3] Hersh, J. Math. Mech. 12 pp 317– (1963)
[4] Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1966.
[5] Kreiss, Comm. Pure Appl. Math. 22 pp 277– (1970)
[6] Kreiss, Math. Scand. 13 pp 109– (1963) · Zbl 0145.13303 · doi:10.7146/math.scand.a-10694
[7] Lions, ICC Bull. 5 pp 1– (1966)
[8] Majda, Comm. Pure Appl. Math. 28 pp 607– (1975)
[9] Nirenberg, Proc. Symp. Pure Math. 16 pp 149– (1970) · doi:10.1090/pspum/016/0270217
[10] Novik, USSR Comput. Math., Phys. 9 pp 122– (1969)
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[14] Initial boundary value problems for incompletely parabolic systems, Ph.D. thesis, Stanford University, 1976.
[15] Pseudo Differential Operators, Lecture Notes in Mathematics, No. 416, Springer-Verlag, New York, 1974. · doi:10.1007/BFb0101246
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