Asymptotic behaviour of solutions of matrix Burgers equation.
Joseph, Kayyunnapara Thomas (2007)
Applied Mathematics E-Notes [electronic only]
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Joseph, Kayyunnapara Thomas (2007)
Applied Mathematics E-Notes [electronic only]
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We establish the uniqueness of fundamental solutions to the p-Laplacian equation ut = div (|Du|p-2 Du), p > 2, defined for x ∈ RN, 0 < t < T. We derive from this result the asymptotic behavoir of nonnegative solutions with finite mass, i.e., such that u(*,t) ∈ L1(RN). Our methods also apply to the porous medium equation ut...
M. Escobedo, S. Mischler, M. Rodriguez Ricard (2005)
Annales de l'I.H.P. Analyse non linéaire
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