A generalized 2-D Poincaré inequality.
Cavallini, Fabio, Crisciani, Fulvio (2000)
Journal of Inequalities and Applications [electronic only]
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Cavallini, Fabio, Crisciani, Fulvio (2000)
Journal of Inequalities and Applications [electronic only]
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Wiener, Joseph, Aftabizadeh, A.R. (1985)
International Journal of Mathematics and Mathematical Sciences
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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Gupta, Chaitan P. (1991)
International Journal of Mathematics and Mathematical Sciences
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Gupta, Chaitan P. (1988)
International Journal of Mathematics and Mathematical Sciences
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Wang, Yuandi, Zheng, Shengzhou (2009)
Boundary Value Problems [electronic only]
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Khelili Besma, Boussetila Nadjib, Rebbani Faouzia (2017)
Open Mathematics
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In this paper, we are concerned with the problem of approximating a solution of an ill-posed biparabolic problem in the abstract setting. In order to overcome the instability of the original problem, we propose a modified quasi-boundary value method to construct approximate stable solutions for the original ill-posed boundary value problem. Finally, some other convergence results including some explicit convergence rates are also established under a priori bound assumptions on the exact...
Bouziani, Abdelfatah (2002)
International Journal of Mathematics and Mathematical Sciences
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Barradas, Ignacio, Perez-Esteva, Salvador (1993)
International Journal of Mathematics and Mathematical Sciences
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Yaman, M., Gür, Ş. (2010)
Boundary Value Problems [electronic only]
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Antonio Fasano, Vsevolod Solonnikov (2002)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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A-priori estimates in weighted Hölder norms are obtained for the solutions of a one- dimensional boundary value problem for the heat equation in a domain degenerating at time t = 0 and with boundary data involving simultaneously the first order time derivative and the spatial gradient.
Ames, K.A., Payne, L.E. (1999)
Journal of Inequalities and Applications [electronic only]
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