Luis Silvestre

Publications

These are some select recent articles:

• C^1+α regularity for fractional p-harmonic functions
  Joint work with Davide Giovagnoli and David Jesus.
• On the monotonicity of the Fisher information for the Boltzmann equation
  Joint work with Cyril Imbert and Cédric Villani.
• The Landau equation does not blow up
  Joint work with Nestor Guillen.
• Regularity for the Boltzmann equation conditional to macroscopic bounds.
  Joint work with Cyril Imbert.
• Singular solutions to parabolic equations in nondivergence form.
• Oscillation properties of scalar conservation laws.

Click here to see my full list of manuscripts, including slides and unpublished papers.

You may also be interested in my lecture notes for the undergraduate PDE class.

PDE Solvers

I wrote some online PDE solvers for educational purposes.

• Generic solver of parabolic equations via finite difference schemes.
  (Look at the instructions for some premade examples.)
• Wave equation solver.
• Heat equation solver.
  (Better use the generic solver above.)

Seminars

• Calderon-Zygmund seminar

Editorial Boards

• Analysis in Theory and Applications.
• Annals of PDE.
• Interfaces and Free Boundaries.
• Journal of the American Mathematical Society.
• Journal of Functional Analysis.
• Orbita Mathematicae.
• Revista de la Unión Matemática Argentina.

Former Editorial Boards

• Advances in Calculus of Variations.
• Discrete and Continuous Dynamical Systems.
• Potential Analysis.