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Well-posedness of the Dirichlet problem in non-elliptic isotropic elasticity. (English) Zbl 0999.74017

Summary: The well-posedness of Dirichlet boundary value problem for isotropic homogeneous linear elastic material is established for non-elliptic equilibrium systems. We also examine mechanical properties of elastic materials with negative shear modulus.

MSC:

74B05 Classical linear elasticity
35Q72 Other PDE from mechanics (MSC2000)
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
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