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Existence of solutions for linear systems and hyperbolic problems with variable domains. (English) Zbl 0469.35005


MSC:

35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35L10 Second-order hyperbolic equations
35R15 PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables)
34G10 Linear differential equations in abstract spaces
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References:

[1] Carroll R.W., Abstract Methods in Partial Differential Equations (1969) · Zbl 0193.06501
[2] Carroll R.W., Math. Ann. 188 pp 143– (1970) · Zbl 0188.21001 · doi:10.1007/BF01350817
[3] Carroll R.W., Canadian J. Math 23 pp 611– (1971) · Zbl 0217.13201 · doi:10.4153/CJM-1971-069-9
[4] Goldstein J.A., J. Func, Anal 4 pp 31– (1969) · Zbl 0175.11101 · doi:10.1016/0022-1236(69)90020-2
[5] Goldstein J.A., J. Appl. Anal 5 pp 283– (1976) · Zbl 0332.34057 · doi:10.1080/00036817608839132
[6] Goldstein J.A., III. J. Math. 18 pp 196– (1974)
[7] Mazumdar T., J. Math. Anal &Appl 52 pp 615– (1975) · Zbl 0319.35063 · doi:10.1016/0022-247X(75)90085-2
[8] State E.Y., Weak hyperbolic problems with variable domain 52 (1971) · Zbl 0217.13201
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