The Cauchy Problem For The Generalized Burgers And The Fourth Order Ginzburg-Landau Equations

We iiivestiote the existence and uniqueness of solutions in H~ (s 1. 2) for the Cauchy prol)ldul of the gcneralized Burgers an(I the fourth order Ginzbnrg Landau equations. Some connections between L~ and H8 solutions are established aiid the global well J)oSedfleSS of solutions in H2 for the fourth order Ginzburg Landau equation an(1 solut.ioiis in H1 for generalized Burgers e(lllatiOlI is shown ill the J)reSehlt paper.