Abstract
Dynamic systems of nonlinear elasticity described by von Karman equations, one of the fundamental equations in mathematical physics, have a long tradition in the literature [11, 5, 24, 33, 16, 15, 14, 8]. Their importance stems from the fact that many physical phenomena related to oscillation theory are described by dynamic elastic models. Propagation of waves, oscillations and vibrations of membranes, plates, shells, etc. are governed by nonlinear elastic systems involving wave and plate equations or combination thereof.
Research partially supported by the National Science Foundation under Grant DMS-0104305
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Koch, H., Lasiecka, I. (2002). Hadamard Well-posedness of Weak Solutions in Nonlinear Dynamic Elasticity-full von Karman Systems. In: Lorenzi, A., Ruf, B. (eds) Evolution Equations, Semigroups and Functional Analysis. Progress in Nonlinear Differential Equations and Their Applications, vol 50. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8221-7_11
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DOI: https://doi.org/10.1007/978-3-0348-8221-7_11
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