Hello Prof. Haraux.

About the paper : Haraux-On a result of K. Masuda concerning reaction-diffusion equations 1986.

Where I can get the deteiled proof of the local existence. The local existence with the boundary condition (2)

$\alpha_{1}(x)\frac{\partial u}{\partial n}+(1-\alpha_{1}(x))u=0$

$\alpha_{2}(x)\frac{\partial v}{\partial n}+(1-\alpha_{2}(x))v=0$

is proved in the paper " Hollis-Martin-Pierre : Global existence and boundedness in R-D systems 1987" but with $\alpha_{i}$ \ are constants.

Also, if \ $d_{1}=d_{2}(=d)$ we get by addition that $(u+v)_{t}-d\Delta

(u+v)=0.$ In this case, the problem lives in the boundary condition if

\ $\alpha_{1}(x)\neq\alpha_{2}(x)$ !.

Thank you very much

S. Badraoui