Parabolic perturbations of Hamilton–Jacobi equations
Volume 157 / 1998
                    
                    
                        Fundamenta Mathematicae 157 (1998), 299-303                    
                                        
                        DOI: 10.4064/fm-157-2-3-299-303                    
                                    
                                                Abstract
We consider a parabolic perturbation of the Hamilton-Jacobi equation where the potential is periodic in space and time. We show that any solution converges to a limit not depending on initial conditions.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            