Uniqueness of Piecewise Smooth Weak Solutions of Multidimensional Degenerate Parabolic Equations
نویسندگان
چکیده
منابع مشابه
Uniqueness of Piecewise Smooth Weak Solutions of Multidimensional Degenerate Parabolic Equations1
We study the degenerate parabolic equation ut +∇ · f = ∇ · (Q∇u) + g, where (x, t) ∈ R ×R+, the flux ~ f , the viscosity coefficient Q and the source term g depend on (x, t, u) and Q is nonnegative definite. Due to the possible degeneracy, weak solutions are considered. In general, these solutions are not uniquely determined by the initial data and, therefore, additional conditions must be impo...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1997
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5417