Luis Silvestre

University of Chicago - Department of Mathematics
Office: Ry 360-E
Phone (773) 702-6709

Publications.

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These are some select recent articles

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Click here to see my full list of manuscripts, including some slides and unpublished papers.

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

PDE solvers.

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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.

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• Camp/PDE seminar
  
• Calderon-Zygmund seminar

Editorial Boards.

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• Advances in Calculus of Variations.
• Analysis in Theory and Applications.
• Discrete and Continuous Dynamical Systems.
• Interfaces and Free Boundaries.
• Journal of Functional Analysis.
• Orbita Mathematicae.
• Potential Analysis.
• Revista de la Unión Matemática Argentina.

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Or you may just want to play scrabble.