Front propagation in nonlinear parabolic equations

We study existence and stability of travelling waves for nonlinear convection diffusion equa- tions in the 1-D Euclidean space. The diffusion coefficient depends on t gradient in analogy with the p-Laplacian and may be degenerate. Unconditional stability is established with respect to initial data perturbations in L 1 (R). Running head: Poincare inequality and P.-S. condition

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