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

DOI10.1515/DEMA-2024-0063MaRDI QIDQ6657332

Roqia Abdullah Jeli

Publication date: 6 January 2025

Published in: Demonstratio Mathematica (Search for Journal in Brave)

zbMATH Keywords

non-linear dynamicsparabolic singularitiessupport reductionlocal solution estimationssingular support behavior

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Cites Work

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• Degenerate parabolic equations
• Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities
• Evolutionary weighted \(p\)-Laplacian with boundary degeneracy
• Extinction of solutions to a class of fast diffusion systems with nonlinear sources
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• Exact local estimates for the supports of solutions in problems for non-linear parabolic equations
• The problem of the three-dimensional localization of thermal perturbations in the theory of non-linear heat conduction
• Evolution of interfaces for the nonlinear parabolic p-Laplacian-type reaction-diffusion equations. II. Fast diffusion vs. absorption
• A strong comparison principle for the $p$-Laplacian

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