The paper deals with the asymptotic behavior of generalized solutions to nonlinear first order equations. With the aid of explicit variational representation one studies the decrease of solutions for a large time. And for the small time an asymptotic of the perturbation?s front is calculated.
@article{urn:eudml:doc:43918, title = {On the behaviour of generalized solutions to genuinely nonlinear first order equations for small and large values of time.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {6}, year = {1993}, pages = {139-152}, zbl = {0804.35073}, mrnumber = {MR1245029}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:43918} }
Rykov, Yu. G. On the behaviour of generalized solutions to genuinely nonlinear first order equations for small and large values of time.. Revista Matemática de la Universidad Complutense de Madrid, Tome 6 (1993) pp. 139-152. http://gdmltest.u-ga.fr/item/urn:eudml:doc:43918/