Geometrical properties of solutions of the porous medium equation for large times

By Ki-Ahm Lee, Juan Luis V'azquez. 2003

80 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7fd57ffdfaa463ccd7d1580ac8fa619be0bc2ee1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Juan Luis V'azquez
2. Ki-Ahm Lee
3. Arshak Petrosyan
4. Matteo Bonforte
5. A. Audrito
6. G. Grillo
7. Alessio Figalli
8. Xavier Ros-Oton

In Computational Theory and Mathematics

1. Juan Luis V'azquez
2. Ki-Ahm Lee
3. Arshak Petrosyan
4. A. Audrito
5. Matteo Bonforte
6. Alessio Figalli
7. G. Grillo
8. Xavier Ros-Oton

In Numerical Analysis

1. Juan Luis V'azquez
2. Matteo Bonforte
3. A. Audrito
4. Zhian Wang
5. Yung-Sze Choi

Citations in the corpus

• The Porous Medium Equation: Mathematical Theory (2006, unknown): “[196, 197, 365].”
• Global positivity estimates and Harnack inequalities for the fast diffusion equation (2006, unknown): “[18].”
• Nonlinear Diffusion with Fractional Laplacian Operators (2012, background): “We will mention two: eventual geometry (Lee and Vazquez (2003), [52]) and establishing convergence rates. and explain only the latter, since it motivates the work on nonlinear fractional diffusion.”
• Large-time geometric properties of solutions of the evolution p-Laplacian equation (2006, background): “In several dimensions we prove concavity but for a small neighborhood of the maximum point.”