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Existence and Regularity of Weak Solutions for a Thermoelectric Model

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 نشر من قبل Zhibing Zhang
 تاريخ النشر 2019
  مجال البحث
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This paper concerns a time-independent thermoelectric model with two different boundary conditions. The model is a nonlinear coupled system of the Maxwell equations and an elliptic equation. By analyzing carefully the nonlinear structure of the equations, and with the help of the De Giorgi-Nash estimate for elliptic equations, we obtain existence of weak solutions on Lipschitz domains for general boundary data. Using Campanatos method, we establish regularity results of the weak solutions.

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