Regularity for degenerate evolution equations with strong absorption
- Da Silva, Joao Vitor
- Ochoa, Pablo Daniel
- Silva, Analia
DOIAbstract
In this manuscript, we study geometric regularity estimates for degenerate parabolic equations of p-Laplacian type (2 ≤ p 0} ∩ΩT (the free boundary), where α = p/p−1−q ≥ 1 + 1/p−1. Some weak geometric and measure theoretical properties as non-degeneracy, positive density, porosity and finite speed of propagation are proved. As an application, we prove a Liouville-type result for entire solutions. A specific analysis for Blow-up type solutions will be done as well. The results are new even for dead-core problems driven by the heat operator.Fil: Da Silva, Joao Vitor. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argenti...
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