- Amann , H. 1991 . “ Multiplication in Sobolev and Besov spaces ” . In Quaderni, Scuola Normale 27 – 50 .
- Barbu , V. 1976 . “ Nonlinear Semigroups and Differential Equation Les Equations de von Karman ” . In Nordhoff
- Bohm , M. 1991 . Remarks on complex interpolation of some nonlinear operators . Math. Nachr , 153 : 191 – 206 .
- Bohm , M. 1994 . “ Global wellposedness of the dynamic von Karman Equations for generalized Solutions ” . In Manuscript
- Bradely , M. and Lasieka , I. 1992 . Local exponential stabilization for a nonlinerl;y perturbed vonkarman plate . Nonlinear Analysis , 18 : 333 – 343 .
- Chueskov , I. 1991 . Strong solutions and the attractors of the von Karman equations . Math. USSR Sbornik , 69 : 25 – 35 .
- Ciarlet , Ph. and Rabier , P. 1982 . “ Les Equations de von Karman ” . Springer Verlag .
- Boulet de Monvel , A. and Chueshov , I. 1996 . “ Uniqueness theorem for weak solutions of von Karman evolution equations ” . In Communications in PDE's
- Duvaut , G. and Lions , J.L. 1972 . “ Les Inequations en Mecaniques et en Physiques ” . Dunod .
- Favini , A. , Horn , M.A. , Lasiecka , I. and Tataru , D. 1996 . Global excistence,uniqueness and regularity of solutions to a van Karman system with nonlinear boundary dissipation . Differential and Integral Equations , 9 : 267 – 294 .
- Favini , A. , Horn , M.A. , Lasiecka , I. and Tataru , D. 1997 . Addendum to the paper: Global excistence,uniqueness and regularity of solutions to a van Karman system with nonlinear boundary dissipation . Differential and Integral Equations , 10 : 197 – 200 .
- Favini , A. and Lasiecka , I. 1995 . Wellposedness and regularity of second order abstract equations arising in hyperbolic-like problrms with nonlinear boundary conditions . Osaka Journal of Mathematics , 32
- Lions , J.L. 1969 . “ Quelques Methods do Resolution des Problems aux Limits Nonlinearies ” . Dunod : Dunod .
- Von Karman , T. 1910 . Festigkeitprobleme in Maschinenbau . Encyklopedie der Mathematischen Wissenschaften , 4 : 314 – 385 .
- Koch , H. and Stachel , A. 1993 . Global existence of classical solutions to the dynamical von Karman equations . Math. Methods in the Applied Sciences , 16 : 581 – 586 .
- Lagnese , J. 1989 . “ Boundary Stabilization of Thin Plates ” . In SIAM
- Lagnese , J. 1991 . Modeling and stabilization of nonlinear plates . International ser. Num. Math. , 100 : 247 – 264 .
- Lagnese , J. 1991 . Uniform asymptotic enegry estimates for solutions of the equations of dynamic plane elasticity with nonlinear dissipation at the boundary . Nonlinear Analysis , 16 : 35 – 54 .
- Lagnese , J. and Lions , J.L. 1988 . “ Modeling, Anaiysis and Control of Thin Plates ” . Masson .
- Lagnese , J. and Leugering , G. 1991 . Uniform stabilization of a nonlinear beam by nonlinear boundary feedback . Journal of Differential Equations , 91 : 355 – 388 .
- Lasiecka , I. 1995 . Finite-Dimensionality of Attractors Associated with von Karman Plate Equations and Boundary Damping . J. Differential Equations , 117 : 357 – 389 .
- Morozov , N. 1967 . Non-linear vibrations of thin plates with allowance for rotational inertia . Sov. Math , 8 : 1137 – 1141 .
- Puel , J. and Tucsnak , M. 1996 . Boundary stabilization for the von Karman equations . SIAM J. on Control , 33 : 255 – 273 .
- Puel , J. and Tucsnak , M. 1996 . Global existence for the full von Karman system . Applied Mathematics and Optimization , 34 : 139 – 161 .
- Sedenko , V.I. 1994 . “ The uniqueness of generalized solutions of initial boundary value problem for Marguerre-Vlasov equation in the nonlinear oscillation theory of shallow shells ” . 1 – 2 . Russian Izwestia;North-Caucasus Region, Ser. nat. Sviences
- Tartar , L. 1972 . Interpolation non-lineaire et regularites . J. Functional Analysis , 9
- Tataru , D. 1994 . A-priori estimates of Carleman's type in domains with boundary . Journal de Mathematique Pure et Appliquees , 73
- Tataru D. Tucsnak M. On the Cauchy problem for the von Karman System . Nonlinear Differential Equations to appear
- Thomee , V. 1984 . “ Galerkin Finite Element Methods for Parabolic Problems ” . 1054 Springer-Verlag . Lecture Notes in Mathematics
- van Wahl , W. 1981 . On nonlinear evolution equations in a Banach spaces and on nonlinear vibrations of the clamped plate . Bayreuther Mathematische Schriften , 7
- Vorovic , I. 1957 . On some direct methods in nonlinear theory of vibration of curved shells . Izv. Akad. Nauk. SSSR. Mat. , 21
Weak, classical and intermediate solutions to full von karman system of dynamic nonlinear elasticity
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