| V.C. Chen and W. von Wahl. Das Rand-Anfangswertproblem fur Quasilineare Wellengleichungen in Sobolevraumen Niedriger Ordnung. J. Reine Angew. Math., 337:77--112, 1982. |
....the incompressible case, we seek functions (#, V,#) 0, T ] # U V E satisfying (2) where E is a vector space of pressure fields restricted only by appropriate smoothness requirements. Various well posedness results have been established for both (1) and (2) and associated linear systems. See [5,7,13,24,27,31,36] for well posedness results pertaining to (1) and [9 12,22,26,37] for results pertaining to (2) For more details on the field equations of finite deformation elasticity see [6,23,31,33,39,46] Depending on boundary conditions and external loads, the nonlinear system (1) may possess various ....
C. Chen & W. von Wahl (1982) "Das Rand-Anfangswertproblem fur Quasilineare Wellengleichungen in Sobolevraumen Niedriger Ordnung," Journal fur die reine und angewandte Mathematik, 337, 77--112.
....linear and nonlinear settings. Various results for the linear case are reviewed in [34] and results for the nonlinear case have appeared more recently. For example, the initial value problem posed on all of space is considered in [23] the Dirichlet initial boundary value problem is considered in [26, 8, 11] and the Neumann initial boundary value problem in two space dimensions is considered in [40] For incompressible elastodynamics, the initial value problem for nonlinear materials posed on all of space is treated in [15, 18] and the Dirichlet initial boundary value problem is treated in [24] The ....
C. Chen & W. von Wahl (1982) "Das Rand-Anfangswertproblem fur Quasilineare Wellengleichungen in Sobolevraumen Niedriger Ordnung," Journal fur die reine und angewandte Mathematik, 337, 77--112.
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V.C. Chen and W. von Wahl. Das Rand-Anfangswertproblem fur Quasilineare Wellengleichungen in Sobolevraumen Niedriger Ordnung. J. Reine Angew. Math., 337:77--112, 1982.
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