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Hamilton–Jacobi Equations: Theory and Applications
About this Title
Hung Vinh Tran, University of Wisconsin, Madison, WI
Publication: Graduate Studies in Mathematics
Publication Year:
2021; Volume 213
ISBNs: 978-1-4704-6511-7 (print); 978-1-4704-6554-4 (online)
DOI: https://doi.org/10.1090/gsm/213
ReadershipTable of Contents
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Front/Back Matter
Chapters
- Introduction to viscosity solutions for Hamilton–Jacobi equations
- First-order Hamilton–Jacobi equations with convex Hamiltonians
- First-order Hamilton–Jacobi equations with possibly nonconvex Hamiltonians
- Periodic homogenization theory for Hamilton–Jacobi equations
- Almost periodic homogenization theory for Hamilton–Jacobi equations
- First-order convex Hamilton–Jacobi equations in a torus
- Introduction to weak KAM theory
- Further properties of the effective Hamiltonians in the convex setting
- Notations
- Sion’s minimax theorem
- Characterization of the Legendre transform
- Existence and regularity of minimizers for action functionals
- Boundary value problems
- Sup-convolutions
- Sketch of proof of Theorem 6.26
- Solutions to some exercises
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