We establish an existence and uniqueness result for quasilinear parabolic systems of the form \(\frac {\partial u}{\partial t}-\text {div} \sigma (x,t,Du)=f\) in Q, where the source term f is assumed to be in \(W^{-1,x}E_{\overline {M}}(Q;\mathbb {R}^{m})\). The proof is based on the theory of Young measures which permits to identify weak limits.

中文翻译：

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Orlicz空间中拟线性抛物型方程组的存在唯一性结果。

我们在Q中建立形式为\（\ frac {\ partial u} {\ partial t}-\ text {div} \ sigma（x，t，Du）= f \）的拟线性抛物系统的存在性和唯一性结果，其中假设源项f在\（W ^ {-1，x} E _ {\ overline {M}}（Q; \ mathbb {R} ^ {m}）\）中。该证明基于Young测度的理论，该理论允许识别弱极限。