Existence of weak solutions for a degenerate generalized burgers equation with large initial data

It is obtained the existence of the weak solution for a degenerate generalized Burgers equation under the restriction u(0) is an element of L-infinity. The main method is to add viscosity perturbation and obtain some estimates in L-1 norm. Meanwhile it is obtained the solution is exponential decay when the initial data has compact support.MathematicsSCI(E)中国科学引文数据库(CSCD)7ARTICLE2241-2482