A direct method for constructing solutions of the Hamilton-Jacobi equation

DOI10.1007/BF01559688zbMath0726.70009MaRDI QIDQ802905

Luigi Chierchia

Publication date: 1990

Published in: Meccanica (Search for Journal in Brave)

zbMATH Keywords

Hamilton-Jacobi equationexistence of solutionsapproximate solutionnumerical approximationsiteration processerror- definitionmethods of real analysisnumerically constructed approximate solutions

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (3)

Stability of Hamiltonian systems at high energy ⋮ Branching of Cantor manifolds of elliptic tori and applications to PDEs ⋮ Forced vibrations via Nash-Moser iteration

Cites Work

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• Minimal solutions of variational problems on a torus
• Construction of analytic KAM-surfaces and effective stability bounds
• The one-dimensional Schrödinger equation with a quasiperiodic potential
• KAM theory in configuration space
• Integrability of hamiltonian systems on cantor sets
• Symplectic integration of Hamiltonian systems
• Absolutely continuous spectra of quasiperiodic Schrödinger operators
• Rigorous estimates for a computer-assisted KAM theory
• Generalized implicit function theorems with applications to some small divisor problems, I
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

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