Regularity for the fully nonlinear dead-core problem

DOI10.1007/S00208-015-1247-3zbMath1336.35195OpenAlexW744981374MaRDI QIDQ261424

Eduardo V. Teixeira

Publication date: 23 March 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-015-1247-3

zbMATH Keywords

viscosity solutionsdead-core problemnonvariational PDEsreaction-diffusion equations with strong absorptions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57)

Related Items (18)

Continuation and bifurcation in nonlinear PDEs - algorithms, applications, and experiments ⋮ On the critical point regularity for degenerate diffusive equations ⋮ Infinity Laplacian equations with singular absorptions ⋮ Sharp regularity estimates for quasi-linear elliptic dead core problems and applications ⋮ Geometric regularity estimates for fully nonlinear elliptic equations with free boundaries ⋮ Classification of irregular free boundary points for non-divergence type equations with discontinuous coefficients ⋮ Reaction-diffusion equations for the infinity Laplacian ⋮ Geometric gradient estimates for fully nonlinear models with non-homogeneous degeneracy and applications ⋮ Regularity for degenerate evolution equations with strong absorption ⋮ Free boundary problems involving singular weights ⋮ Nonlinear elliptic equations with mixed singularities ⋮ The limit as $p\rightarrow \infty $ in free boundary problems with fractional $p$-Laplacians ⋮ Radial symmetry for an elliptic PDE with a free boundary ⋮ Higher regularity estimates for the porous medium equation near the heat equation ⋮ Fully nonlinear parabolic dead core problems ⋮ Regularity properties for p−dead core problems and their asymptotic limit as p→∞ ⋮ Viscosity solutions to the infinity Laplacian equation with strong absorptions ⋮ Cavity problems in discontinuous media

Cites Work

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• Hausdorff dimension and mean porosity
• Regularity for quasilinear equations on degenerate singular sets
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• Hessian Continuity at Degenerate Points in Nonvariational Elliptic Problems
• On the Existence of a Free Boundary for a Class of Reaction-Diffusion Systems
• The Free Boundary of a Semilinear Elliptic Equation
• The Formation of the Dead Core in Parabolic Reaction-Diffusion Problems
• User’s guide to viscosity solutions of second order partial differential equations
• On viscosity solutions of fully nonlinear equations with measurable ingredients
• On S. Bernstein's Theorem on Surfaces z(x, y) of Nonpositive Curvature

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