Existence of solutions for a nonlinear hyperbolic-parabolic equation in a non-cylinder domain.
Clark, Marcondes Rodrigues (1996)
International Journal of Mathematics and Mathematical Sciences
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Clark, Marcondes Rodrigues (1996)
International Journal of Mathematics and Mathematical Sciences
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Kharibegashvili, S. (2005)
Journal of Inequalities and Applications [electronic only]
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Sun, Fuqin, Wang, Mingxin (2006)
Journal of Inequalities and Applications [electronic only]
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Albert J. Milani, Hans Volkmer (2011)
Applications of Mathematics
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We give sufficient conditions for the existence of global small solutions to the quasilinear dissipative hyperbolic equation corresponding to initial values and source terms of sufficiently small size, as well as of small solutions to the corresponding stationary version, i.e. the quasilinear elliptic equation We then give conditions for the convergence, as , of the solution of the evolution equation to its stationary state.
Fengquan Li, Weiwei Sun (2009)
Applications of Mathematics
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This paper deals with a kind of hyperbolic boundary value problems with equivalued surface on a domain with thin layer. Existence and uniqueness of solutions are given, and the limit behavior of solutions is studied in this paper.
Mesloub, S., Messaoudi, S.A. (2005)
Matematichki Vesnik
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Ferreira, Jorge (1996)
International Journal of Mathematics and Mathematical Sciences
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Doronin, G.G., Lar'kin, N.A., Souza, A.J. (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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B. Eshmatov, E. Karimov (2007)
Open Mathematics
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In the present paper we study the unique solvability of two non-local boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations. The uniqueness of the solutions of the considered problems are proven by the “abc” method. Existence theorems for the solutions of these problems are proven by the method of integral equations. The obtained results can be used for studying local and non-local boundary-value problems for mixed-hyperbolic type...