Books
4. An Undergraduate Course in Partial Differential Equations
second draft (2025).
Feel free to use it for your teaching/studying/reference purposes.
3. (with Y. Yu) A course on weak KAM theory
first draft.
2. Hamilton--Jacobi Equations: Theory and Applications, AMS Graduate Studies in Mathematics, Volume 213,
ISBN 9781470465117, 1470465116, 2021.
AMS bookstore,
Amazon.
Book review by Diogo Gomes.
Book review by Alpar Meszaros.
Errata.
Here is a preliminary version
third draft.
1. (with Nam Q. Le, H. Mitake) Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Ampere Equations,
Springer Lecture Notes in Mathematics, vol. 2183, 2017, vii + 228.
link.
A version (12/2016) of the second part on “Dynamical properties of Hamilton--Jacobi equations via the nonlinear adjoint method: Large time behavior and Discounted approximation” of Mitake and myself can be found here pdf.
