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Strongly nonlinear parabolic inequality in Orlicz spaces via a sequence of penalized equations - MaRDI portal

Strongly nonlinear parabolic inequality in Orlicz spaces via a sequence of penalized equations (Q898043)

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scientific article; zbMATH DE number 6517602
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Strongly nonlinear parabolic inequality in Orlicz spaces via a sequence of penalized equations
scientific article; zbMATH DE number 6517602

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    Strongly nonlinear parabolic inequality in Orlicz spaces via a sequence of penalized equations (English)
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    8 December 2015
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    The authors prove the existence of entropy unilateral solutions for nonlinear parabolic equations of the form \[ \frac{\partial b(x,u)}{\partial t}- \operatorname{div}(a(x,t,u,Du))+ H(x,t,u,Du)=f(x,t). \]
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    truncation
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    time-regularization
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    renormalized unilateral solutions
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    penalized equations
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