Spectrum of one dimensional -Laplacian operator with indefinite weight.
Anane, A., Chakrone, O., Moussa, M. (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Anane, A., Chakrone, O., Moussa, M. (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Sadallah, Boubaker-Khaled (2008)
Applied Mathematics E-Notes [electronic only]
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Lieberman, Gary M. (2007)
Boundary Value Problems [electronic only]
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Hwang, Dah-Yan (2004)
International Journal of Mathematics and Mathematical Sciences
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Tan, Zhong, Yao, Zheng-An (2001)
Journal of Inequalities and Applications [electronic only]
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Otared Kavian, Luz de Teresa (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we prove a unique continuation result for a cascade system of parabolic equations, in which the solution of the first equation is (partially) used as a forcing term for the second equation. As a consequence we prove the existence of -insensitizing controls for some parabolic equations when the control region and the observability region do not intersect.
Kandilakis, D.A., Magiropoulos, M., Zographopoulos, N.B. (2005)
Boundary Value Problems [electronic only]
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Senba, Takasi, Suzuki, Takasi (2006)
Abstract and Applied Analysis
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Jiaqing Pan (2011)
Open Mathematics
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In this paper the finite speed of propagation of solutions and the continuous dependence on the nonlinearity of a degenerate parabolic partial differential equation are discussed. Our objective is to derive an explicit expression for the speed of propagation and the large time behavior of the solution and to show that the solution continuously depends on the nonlinearity of the equation.
Chen, Chao-Ping, Cheung, Wing-Sum, Qi, Feng (2005)
International Journal of Mathematics and Mathematical Sciences
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Zhou, Jun, Mu, Chunlai, Li, Zhongping (2006)
Boundary Value Problems [electronic only]
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