Asymptotic expansions of the solutions of the Cauchy problem for nonlinear parabolic equations

Kazuhiro Ishige, Tatsuki Kawakami

Let $u$ be a solution of the Cauchy problem for the nonlinear parabolic equation $$ \partial_t u=Δu+F(x,t,u,\nabla u) \quad in \quad{\bf R}^N\times(0,\infty), \quad u(x,0)=φ(x)\qua…