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Existence of weak solutions for some singular parabolic equations. (English) Zbl 1374.35237

Summary: In this paper, we are concerned with a singular parabolic equation subject to Dirichlet boundary condition and initial condition. Under different assumptions on \(\mu,\nu\) and \(\psi\), some existence results are obtained by applying parabolic regularization method and the sub-super solutions method.

MSC:

35K67 Singular parabolic equations
35D30 Weak solutions to PDEs
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