A survey of partial differential equations methods in weak KAM theory

By Lawrence C. Evans. 2004

49 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f113e22b2cafb9996b1099cf01e246df49171b55

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. Jerrold E. Marsden
2. Houman Owhadi
3. Naoyuki Ichihara
4. Molei Tao
5. Hitoshi Ishii

In Statistical and Nonlinear Physics

1. Houman Owhadi
2. Molei Tao
3. Naoyuki Ichihara
4. Jerrold E. Marsden
5. Hitoshi Ishii
6. Sanjay Lall
7. Petr Krysl
8. G. Haller

In Statistics and Probability

1. Jerrold E. Marsden
2. Houman Owhadi
3. Naoyuki Ichihara
4. Molei Tao
5. Hitoshi Ishii
6. Alireza Doostan

Citations in the corpus

• Long-time Behavior of Solutions of Hamilton–Jacobi Equations with Convex and Coercive Hamiltonians (2009, background): “[10, 13, 8, 9]) such as extremal curves, Aubry sets and representations formulas for solutions.”
• ASYMPTOTIC SOLUTIONS FOR LARGE-TIME OF HAMILTON-JACOBI EQUATIONS IN EUCLIDEAN $n$ SPACE(Viscosity Solution Theory of Differential Equations and its Developments) (2007, background): “For overviews and developments of weak KAM theory, we refer to [17], [14].”
• Nonintrusive and Structure Preserving Multiscale Integration of Stiff ODEs, SDEs, and Hamiltonian Systems with Hidden Slow Dynamics via Flow Averaging (2009, methodology): “We refer to M-convergence introduced in [101, 15], to the two-scale expansion of solutions of the Hamilton-Jacobi form of Newton’s equations with stiff quadratic potentials [20] and to PDE methods in weak KAM theory [41].”