Generic singularities of minimax solutions to Hamilton--Jacobi equations
Capitanio, Gianmarco
HAL, hal-00002177 / Harvested from HAL
Minimax solutions are weak solutions to Cauchy problems involving Hamilton--Jacobi equations, constructed from generating families quadratic at infinity of their geometric solutions. We give a complete description of minimax solutions and we classify their generic singularities of codimension not greater than $2$.
Publié le : 2004-07-05
Classification:  Hamilton--Jacobi equation,  Minimax solution,  Hamilton--Jacobi equation.,  53D05, 53D10, 53D12, 58E05, 70H20.,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG],  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00002177,
     author = {Capitanio, Gianmarco},
     title = {Generic singularities of minimax solutions to Hamilton--Jacobi equations},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00002177}
}
Capitanio, Gianmarco. Generic singularities of minimax solutions to Hamilton--Jacobi equations. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00002177/