Approximations to precisely localized supports of solutions for non-linear parabolic p-Laplacian problems

Abstract

The shrinking of support in non-linear parabolic pp-Laplacian equations with a positive initial condition u0{u}_{0} that decayed as ∣x∣→∞| x| \to \infty was explored in the Cauchy problem. Proofs were provided for establishing exact local estimates for the boundary of the support of the solutions.

Keywords

• local solution estimations
• singular support behavior
• support reduction
• parabolic singularities
• non-linear dynamics
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