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Brokate, Martin

A hyperbolic free boundary problem: Existence, uniqueness and discretization. (English) Zbl 0489.35078

Numer. Funct. Anal. Optimization 5, 217-248 (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 1 Document

MSC:

35R35 Free boundary problems for PDEs
35L50 Initial-boundary value problems for first-order hyperbolic systems
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
65Z05 Applications to the sciences
35A05 General existence and uniqueness theorems (PDE) (MSC2000)

Keywords:

semidiscretization; one phase free boundary problem; existence; uniqueness; continuous dependence; method of characteristics; semidiscrete version of front tracking
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References:

[1] Whitham G. B., Linear and nonlinear waves (1974) · Zbl 0373.76001
[2] Hill C. D., J. Math. Anal. Appl. 31 pp 117– (1970) · Zbl 0203.41002 · doi:10.1016/0022-247X(70)90122-8
[3] Cooke K. L., J. Math. Anal. Appl. 24 pp 372– (1968) · Zbl 0186.16902 · doi:10.1016/0022-247X(68)90038-3
[4] Fasano A., ZAMM 53 pp 341– (1973) · Zbl 0257.35045 · doi:10.1002/zamm.19730530508
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