Regularizing Effects for u t = Δϕ(u)

DOI10.2307/1999502zbMath0508.35043OpenAlexW2326794315MaRDI QIDQ4746167

Michel Pierre, Michael G. Crandall

Publication date: 1982

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999502

zbMATH Keywords

nonnegative solutionStefan problemporous media equationspointwise inequality

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Partial differential inequalities and systems of partial differential inequalities (35R45) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Free boundary problems for PDEs (35R35) Initial value problems for second-order parabolic equations (35K15)

Related Items (14)

Option pricing with linear market impact and nonlinear Black-Scholes equations ⋮ Optimal regularity in time and space for the porous medium equation ⋮ Interior second derivatives estimates for nonlinear diffusions ⋮ The Aronson-Bénilan estimate in Lebesgue spaces ⋮ On the incompressible limit for a tumour growth model incorporating convective effects ⋮ An Aronson-Bénilan type estimate ⋮ A positivity property of solutions of nonlinear diffusion equations ⋮ Regularity of solutions and interfaces of a generalized porous medium equation in \(\mathbb{R}^ N\) ⋮ Models of Cell Motion and Tissue Growth ⋮ Free boundary limit of a tumor growth model with nutrient ⋮ Regularizing effect of homogeneous evolution equations with perturbation ⋮ The smoothing property for a class of doubly nonlinear parabolic equations ⋮ Regularizing effects for first-order hamilton-jacobi equations ⋮ A two-species hyperbolic–parabolic model of tissue growth

This page was built for publication: Regularizing Effects for u t = Δϕ(u)