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Titlebook: Evolution Equations of von Karman Type; Pascal Cherrier,Albert Milani Book 2015 Springer International Publishing Switzerland 2015 35K55,3

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楼主: ODE
发表于 2025-3-23 10:44:42 | 显示全部楼层
Aurora A. C. Teixeira,Ricardo CastroIn this chapter we assume that . ≥ 2, . ≥ 1, with . + . ≥ 4, and prove Theorem . on the uniformly local strong well-posedness of problem (VKH) in the space ., for some . ∈ ]0, .] independent of ..
发表于 2025-3-23 14:38:05 | 显示全部楼层
Margaret Patrickson,Alison Say,Leonie HalloIn this chapter we first review a number of results on the regularity of the functions . = .(.., . , ..) and . = .(.) in the framework of the Hardy space ., and then use these results to prove the well-posedness of the von Karman equations (3) and (4) in ..
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发表于 2025-3-24 06:00:41 | 显示全部楼层
The Hardy Space , and the Case , = 1,In this chapter we first review a number of results on the regularity of the functions . = .(.., . , ..) and . = .(.) in the framework of the Hardy space ., and then use these results to prove the well-posedness of the von Karman equations (3) and (4) in ..
发表于 2025-3-24 08:09:08 | 显示全部楼层
David B. Audretsch,Julie Ann Elstonf our knowledge, uniqueness of weak solutions to problem (VKH) is open, and presumably not to be expected; in contrast, uniqueness does hold in the physically relevant case of the von Karman equations (3) and (4) in ., that is, when . = 1; we briefly comment of this result, due to Favini et al., [16
发表于 2025-3-24 12:53:54 | 显示全部楼层
https://doi.org/10.1007/978-3-319-02384-7 if . = 2 there is only one kind of semi-strong solution, corresponding to . = 1). Accordingly, we assume that . [recall (.)], and look for solutions of problem (VKH) in the space ., for some . ∈ ]0, .].
发表于 2025-3-24 18:15:31 | 显示全部楼层
João J. Ferreira,Cristina I. Fernandes, for some . ∈ ]0, .] independent of .. This means that, under the assumption (.) (that is, again, .. ∈ .. and .), we show that there is . ∈ ]0, .], independent of ., and a unique ., solution of problem (VKP). In addition, this solution depends continuously on the data .. and ., in the sense of (.).
发表于 2025-3-24 22:57:19 | 显示全部楼层
1862-9113 s of arbitrary even dimension. Each of these problems consists of a system that results from the coupling of two highly nonlinear partial differential equations, one hyperbolic or parabolic and the other elliptic. These systems take their name from a formal analogy with the von Karman equations in t
发表于 2025-3-24 23:13:24 | 显示全部楼层
Book 2015e problems consists of a system that results from the coupling of two highly nonlinear partial differential equations, one hyperbolic or parabolic and the other elliptic. These systems take their name from a formal analogy with the von Karman equations in the theory of elasticity in two dimensional
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