In this paper, we derive precise estimates for {u(t) including smoothing effects near t=0 and decay as t Ä as well as global existence of the solutions u(t) to the initial-boundary value problem in a bounded domain in R n for the quasilinear parabolic equation of the m Laplacian type with a nonlinear convection term b(u) {u. For the initial data u 0 we only assume u 0 # L q (0), 1 q< . 2000Academic Press

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In this paper, we study the existence, nonexistence, and multiplicity of solutions to the following fractional p&q-Laplacian equation:where λ is a real parameter, (-)