Continuous dependence on the boundary conditions for the Wentzell Laplacian

The solution $u$ of the well-posed problem $$ \begin{cases} \frac{\partial u}{\partial t} =\sum\limits_{i,j=1}^N \partial_i (a_{ij}(x)\partial_j u), &(x,t)\in\Omega\times [0,+\infty),\\ u(x,0)=f(x), & x\in\Omega,\\ \sum\limits_{i,j=1}^N \partial_i (a_{ij}(x)\partial_j u)+\beta (x)\sum\limits_{i,j=1}^N a_{ij}(x)\partial_j u \, n_i+\gamma (x) u-q\beta(x)\Delta_{LB}u=0,& (x,t)\in \partial\Omega\times [0,+\infty), \end{cases} $$ depends continuously on $(a_{ij},\beta,\gamma,q)$.