Stability of solutions of quasilinear parabolic equations

Giuseppe Maria Coclite, Helge Holden

We bound the difference between solutions $u$ and $v$ of $u_t = aΔu+\Div_x f+h$ and $v_t = bΔv+\Div_x g+k$ with initial data $\varphi$ and $\psi$, respectively, by $\Vert u(t,\cdot)-v(t,\c…