Some new PDE methods for weak KAM theory

From MaRDI portal
Publication:1404467

DOI10.1007/s00526-002-0164-yzbMath1032.37048OpenAlexW1972508358MaRDI QIDQ1404467

Lawrence C. Evans

Publication date: 21 August 2003

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-002-0164-y



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (44)

Analytic dependence on parameters for Evans' approximated weak KAM solutionsNew identities for weak KAM theoryThe selection problem for some first-order stationary mean-field gamesFurther PDE methods for weak KAM theoryA Quantitative Sobolev Regularity for Absolute Minimizers Involving Hamiltonian $H({p})$ in PlaneExistence of solutions to contact mean-field games of first orderTowards weak KAM theory at relative equilibriumTwo-scale homogenization of a stationary mean-field gameRegularity and Long Time Behavior of One-Dimensional First-Order Mean Field Games and the Planning ProblemTwo numerical approaches to stationary mean-field gamesA Discrete Weak KAM Method for First-Order Stationary Mean Field GamesA Simple Explicit Operator-Splitting Method for Effective HamiltoniansResonance conjecture via weak KAM theoryClassical and weak solutions to local first-order mean field games through elliptic regularityOn the existence of classical solutions for stationary extended mean field gamesWigner measures supported on weak KAM toriOn time periodic solutions to the conformal cubic wave equation on the Einstein cylinderVarious Properties of Solutions of the Infinity-Laplacian EquationA stochastic Evans-Aronsson problemTwo approaches to minimax formula of the additive eigenvalue for quasiconvex HamiltoniansOn the optimal transport of semiclassical measuresNEW ESTIMATES FOR EVANS' VARIATIONAL APPROACH TO WEAK KAM THEORYMather measures associated with a class of Bloch wave functionsA convergence result for the ergodic problem for Hamilton–Jacobi equations with Neumann-type boundary conditionsInterpolative gap bounds for nonautonomous integralsSome Results on Weak KAM Theory for Time-periodic Tonelli Lagrangian SystemsMinimal measures, one-dimensional currents and the Monge-Kantorovich problemMather measures selected by an approximation schemeLinear programming interpretations of Mather's variational principleA finite dimensional linear programming approximation of Mather's variational problemRecent developments in problems with nonstandard growth and nonuniform ellipticityWeakly coupled mean-field game systemsInterpolative gap bounds for nonautonomous integralsSchrödinger spectra and the effective Hamiltonian of weak KAM theory on the flat torusThe experimental localization of Aubry–Mather sets using regularization techniques inspired by viscosity theoryLipschitz bounds and nonautonomous integralsA Generalized Newton Method for Homogenization of Hamilton--Jacobi EquationsThe Hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measuresTime-periodic Evans approach to weak KAM theoryTime-Dependent Mean-Field Games in the Subquadratic CaseA remark on the semi-classical measure from -ℎ²\over2Δ+𝑉 with a degenerate potential 𝑉Mean field games systems of first orderSchrödinger dynamics and optimal transport of measuresThe reconstruction problem for the Euler-Poisson system in cosmology




This page was built for publication: Some new PDE methods for weak KAM theory