Lecture Series

This page groups sessions by Lecture Series adding global information about the series when available.

lecture series

Jorge Silva

This is an introductory course on the wave equation, to be delivered in weekly two-hour sessions.

Topics to be covered include Fourier and physical space methods, existence and uniqueness of solutions to linear equations with constant or variable coefficients, energy estimates, vector fields, Strichartz estimates and local/global well posedness for nonlinear wave equations. Time permitting, singularity formation and geometric optics may also be addressed.


General PDE books with relevant sections

  • G. Folland, "Introduction to Partial Differential Equations", 2nd Ed., Princeton Univ. Press, 1995
  • F. John, "Partial Differential Equations", 4th ed., Springer, 1981.
  • J. Rauch, "Partial Differential Equations", Springer, 1991.
  • M. Taylor, "Partial Differential Equations, I — Basic Theory", 2nd ed., Springer 2012.
  • F. Trèves, "Basic Linear Partial Differential Equations", Academic Press 1975, reprint Dover 2013.

Books on wave equations

  • C. Sogge, "Lectures on Nonlinear Wave Equations", 2nd Ed., International Press, 2013.
  • S. Alinhac, "Hyperbolic Partial Differential Equations", Springer, 2009.
  • L. Hormander, "Lectures on Nonlinear Hyperbolic Equations", Springer 1997.
  • P. Lax, "Hyperbolic Partial Differential Equations", Courant Lecture Notes, AMS, 2006.
  • T. Tao, "Nonlinear Dispersive Equations, Local and Global Analysis", AMS, 2006.

Online lecture notes

Specific or advanced references

  • S. Alinhac, "Geometric Analysis of Hyperbolic Differential Equations, An Introduction", Cambridge University Press, 2010.
  • S. Alinhac, "Blowup for Nonlinear Hyperbolic Equations", Birkauser, 1995.
  • J. Shatah, M. Struwe, "Geometric Wave Equations", Courant Lecture Notes, AMS, 2000.
  • J. Rauch, "Hyperbolic Partial Differential Equations and Geometric Optics", AMS, 2012.
  • F. Friedlander, "The Wave Equation on a Curved Space-Time", Cambridge University Press, 2010.

Move the mouse over the schedule to see start and end times and complete clipped titles.

Jorge Drumond Silva
Wave equation I
Jorge Drumond Silva
Wave equation II
Jorge Drumond Silva
Wave equation III
Jorge Drumond Silva
Wave equation IV
Mon, 27 Feb 2023
Tue, 28 Feb 2023
Wed, 1 Mar 2023
Thu, 2 Mar 2023
Fri, 3 Mar 2023
Sat, 4 Mar 2023
Sun, 5 Mar 2023
Mon, 6 Mar 2023
Tue, 7 Mar 2023
Wed, 8 Mar 2023
Thu, 9 Mar 2023
Fri, 10 Mar 2023
Sat, 11 Mar 2023
Sun, 12 Mar 2023
Mon, 13 Mar 2023
Tue, 14 Mar 2023
Wed, 15 Mar 2023
Thu, 16 Mar 2023
Fri, 17 Mar 2023
Sat, 18 Mar 2023
Sun, 19 Mar 2023
Mon, 20 Mar 2023