Large-time geometric properties of solutions of the evolution p-Laplacian equation
Copyright policy )Large-time geometric properties of solutions of the evolution p-Laplacian equation
The Cauchy problem for the parabolic \(p\)-Laplacian equation is considered. The authors prove a nonlinear concavity estimate for the pressure away from the maximum point provided the initial data are nonnegative, continuous and compactly supported. This estimate implies (among other things) the convexity of the support for large time.
- Autonomous University of Madrid Spain
- Purdue University System United States
- Seoul National University Korea (Republic of)
- Purdue University West Lafayette United States
parabolic \(p\)-Laplacian equation, Asymptotic behavior of solutions to PDEs, convexity of the support, Nonlinear parabolic equations, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, asymptotic behavior, Degenerate parabolic equations, nonlinear concavity estimate, Analysis
parabolic \(p\)-Laplacian equation, Asymptotic behavior of solutions to PDEs, convexity of the support, Nonlinear parabolic equations, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, asymptotic behavior, Degenerate parabolic equations, nonlinear concavity estimate, Analysis
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