Some regularity results for quasi-linear parabolic systems
Michael Struwe (1985)
Commentationes Mathematicae Universitatis Carolinae
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Michael Struwe (1985)
Commentationes Mathematicae Universitatis Carolinae
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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.
Bouziani, Abdelfatah (2002)
International Journal of Mathematics and Mathematical Sciences
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Ganghua Yuan, Masahiro Yamamoto (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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Let be one solution to with a non-homogeneous term , and , where is a bounded domain. We discuss an inverse problem of determining unknown functions by , after selecting input sources suitably, where is an arbitrary subboundary, denotes the normal derivative, and . In the case of , we prove the Lipschitz stability in the inverse problem if we choose from a set with an arbitrarily fixed subdomain . Moreover we can take by making...
Zhou, Jun, Mu, Chunlai, Li, Zhongping (2006)
Boundary Value Problems [electronic only]
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Bouziani, Abdelfatah (2002)
International Journal of Mathematics and Mathematical Sciences
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Merazga, Nabil, Bouziani, Abdelfatah (2005)
Journal of Applied Mathematics and Stochastic Analysis
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