W. M. Zajączkowski (1995)
Annales Polonici Mathematici
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We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
Alik Najafov (2005)
Open Mathematics
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In this paper the spaces of type Sobolev-Morrey-W p,a,г,τl(Q,G)-are constructed, the differential properties are studied and it is proved that the functions from these spaces satisfy Holder's condition, in the case, if the domain G∋R n satisfies the flexible λ-horn condition.
Lomtatidze, A., Malaguti, L. (2000)
Georgian Mathematical Journal
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Gaprindashvili, G. (1995)
Georgian Mathematical Journal
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Denche, M., Marhoune, A.L. (2001)
International Journal of Mathematics and Mathematical Sciences
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Lezama, Oswaldo, Suárez, Héctor (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Chudinovich, Igor, Constanda, Christian (2003)
Georgian Mathematical Journal
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Khomasuridze, N. (2001)
Georgian Mathematical Journal
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Mikihito Hirabayashi (1998)
Acta Arithmetica
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Paule, Peter (1987)
Séminaire Lotharingien de Combinatoire [electronic only]
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Yunyan Li, Yanjun Shen, Xiao Hua Xia (2013)
Kybernetika
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Global finite-time observers are designed for a class of nonlinear systems with bounded varying rational powers imposed on the increments of the nonlinearities whose solutions exist and are unique for all positive time. The global finite-time observers designed in this paper are with two homogeneous terms. The global finite-time convergence of the observation error system is achieved by combining global asymptotic stability and local finite-time stability.