Parabolic SPDEs degenerating on the boundary of nonsmooth domain.
Kim, Kyeong-Hun (2006)
Electronic Journal of Probability [electronic only]
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Kim, Kyeong-Hun (2006)
Electronic Journal of Probability [electronic only]
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Al-Hussein, AbdulRahman (2007)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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J. I. Díaz (2001)
Extracta Mathematicae
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Bögelein, Verena (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Boni, Théodore K., Diby, Bernard Y. (2008)
Annales Mathematicae et Informaticae
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Wojciech Zajączkowski (1996)
Banach Center Publications
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Existence of weak solutions and an -estimate are shown for nonlinear nondegenerate parabolic systems with linear growth conditions with respect to the gradient. The -estimate is proved for equations with coefficients continuous with respect to x and t in the general main part, and for diagonal systems with coefficients satisfying the Carathéodory condition.
Padrón, Víctor (1998)
Divulgaciones Matemáticas
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Jangveladze, T., Kiguradze, Z. (2002)
Georgian Mathematical Journal
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Michał Kisielewicz (1995)
Banach Center Publications
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Existence of strong and weak solutions to stochastic inclusions and , where p and q are certain random measures, is considered.
Weiqing Ai, Junyong Zhai, Shumin Fei (2013)
Kybernetika
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This paper addresses the problem of global finite-time stabilization by dynamic state feedback for a class of stochastic nonlinear systems. Firstly, we show a dynamic state transformation, under which the original system is transformed into a new system. Then, a state feedback controller with a dynamic gain is designed for the new system. It is shown that global finite-time stabilization in probability for a class of stochastic nonlinear system under linear growth condition can be guaranteed...
Shahidi, F.A. (2009)
Sibirskij Matematicheskij Zhurnal
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Mesloub, S., Bouziani, A., Kechkar, N. (2002)
Georgian Mathematical Journal
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D. Bainov, Zdzisław Kamont, E. Minchev (1996)
Applicationes Mathematicae
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Theorems on differential inequalities generated by an initial-boundary value problem for impulsive parabolic functional differential equations are considered. Comparison results implying uniqueness criteria are proved.