Displaying similar documents to “Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces”

Large time behavior of solutions to a class of doubly nonlinear parabolic equations

Hua Shui Zhan (2008)

Applications of Mathematics

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We study the large time asymptotic behavior of solutions of the doubly degenerate parabolic equation u t = div ( u m - 1 | D u | p - 2 D u ) - u q with an initial condition u ( x , 0 ) = u 0 ( x ) . Here the exponents m , p and q satisfy m + p 3 , p > 1 and q > m + p - 2 .