Geodesic
Maximum principle for parabolic systems
Algebra i analiz, Tome 3 (1991) no. 6, pp. 155-163 Cet article a éte moissonné depuis la source Math-Net.Ru

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We show, under very general assumptions on the datum $u$, that Cauchy–Dirichlet problem $$ \begin{cases} -\sum\limits_{ij=1}^nD_i(A^0_{ij}D_j v)+\frac{\partial v}{\partial t}=0\quad\text{in}\quad Q,\\ v=u\quad\text{on the parabolic boundary $\Gamma_Q$ of $Q$} \end{cases} $$ admits a unique bounded solution.
Keywords: parabolic systems, maximum principle. 
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     author = {M. Marino and A. Maugeri},
     title = {Maximum principle for parabolic systems},
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     number = {6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AA_1991_3_6_a5/}
}
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M. Marino; A. Maugeri. Maximum principle for parabolic systems. Algebra i analiz, Tome 3 (1991) no. 6, pp. 155-163. http://geodesic.mathdoc.fr/item/AA_1991_3_6_a5/