Consider the nonlinear parabolic equation [formula omitted] in a cylinder Ω × [0,∞[ with homogeneous Dirichlet boundary conditions on ∂Ω. We show that the L2-norm of u is equivalent to Ct-1/(p-2) where C is a constant which can be related to an ”eigenvalue” of the p-laplacian. This result is also generalized in various directions. © 1991, Taylor & Francis Group, LLC. All rights reserved.
Ghidaglia, J. M., Marzocchi, A., Exact Decay Estimates for Solutions to Semilinear Parabolic Equations, <<APPLICABLE ANALYSIS>>, 1991; 42 (1-4): 69-81. [doi:10.1080/00036819108840034] [https://hdl.handle.net/10807/268521]
Exact Decay Estimates for Solutions to Semilinear Parabolic Equations
Marzocchi, AlfredoSecondo
1991
Abstract
Consider the nonlinear parabolic equation [formula omitted] in a cylinder Ω × [0,∞[ with homogeneous Dirichlet boundary conditions on ∂Ω. We show that the L2-norm of u is equivalent to Ct-1/(p-2) where C is a constant which can be related to an ”eigenvalue” of the p-laplacian. This result is also generalized in various directions. © 1991, Taylor & Francis Group, LLC. All rights reserved.
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